@misc{CCDouglas_MBDouglas_MGNET_Bibliography,
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  title =       "{MGN}et {B}ibliography",
  howpublished ="Department of Computer Science and the
                 Center for Computational Sciences,
                 University of Kentucky, Lexington, KY, USA and
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  booktitle =   "Domain Decomposition Methods in Scientific and Engineering
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  year =        "1991",
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  booktitle =   "Ninth International Conference on Domain Decomposition
                 Methods",
  editors =     "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
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  year =        "1986"
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  year =        "1991",
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@article{UMAscher_PMCarter_1993a,
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  editor =      "V. I. Lebedev",
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  author =      "C. Atamian",
  title =       "R{\/e}solution de Probl{\`e}mes de Diffraction d'Ondes
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                 Fr{\/e}quentiel par une M{\/e}thode de Domaines Fictifs",
  school =      "Universit{\/e} Pierre et Marie Curie",
  address =     "Paris",
  year =        "1991",
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  editor =      "R. Glowinski and Yu. A. Kuznetsov and G. A. Meurant and 
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  publisher =   "SIAM",
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  year =        "1991",
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  journal =     "AIAA",
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  year =        "1991",
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  booktitle =   "Ninth International Conference on Domain Decomposition
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  editors =     "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
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@article{AAverbuch_MIsraeli_LVozovoi_1995a,
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  editors =     "O. Axelsson and B. Polman",
  volume =      "1",
  publisher =   "University of Nijmegan",
  address =     "Nijmegan, The Netherlands",
  year =        "1996",
  pages =       "49--62",
  }
@article{OAxelsson_1996b,
  author =      "O. Axelsson",
  title =       "The stabilized {V} cycle method",
  journal =     "J. Comput. Appl. Math.",
  volume =      "74",
  year =        "1996",
  pages =       "33--50",
  }
@book{OAAxelsson_VABarker_1984a,
  author =      "O. A. Axelsson and V. A. Barker",
  title =       "Finite Element Solution of Boundary Value Problems",
  publisher =   "Academic Press",
  address =     "New York",
  year =        "1984",
  }
@article{OAxelsson_VEijkhout_1991a,
  author =      "O. Axelsson and V. Eijkhout",
  title =       "The nested recursive two--level factorization method for
                 nine--point difference matrices",
  journal =     "SIAM J. Sci. Stat. Comput.",
  volume =      "12",
  year =        "1991",
  pages =       "1373--1400",
  }
@article{OAxelsson_IGustafsson_1983a,
  author =      "O. Axelsson and I. Gustafsson",
  title =       "Preconditioning and two-level multigrid methods of arbitrary
                 degree of approximation",
  journal =     "Math. Comp.",
  volume =      "40",
  year =        "1983",
  pages =       "219--242"
  }
@article{OAxelsson_IKaporin_2001a,
  author =      "O. Axelsson and I. Kaporin",
  title =       "Error norm estimation and stopping criteria in preconditioned
                 conjugate gradient iterations",
  journal =     "Numer. Lin. Alg. Appl.",
  volume =      "8",
  year =        "2001",
  pages =       "265--286",
  }
@inproceedings{OAxelsson_MNeytcheva_1993a,
  author =      "O. Axelsson and M. Neytcheva",
  title =       "The algebraic multilevel iteration methods - theory and
                 applications",
  booktitle =   "Proceedings of the Second International Colloquium in
                 Numerical Analysis, August 14-18, 1993",
  editor =      "",
  publisher =   "",
  address =     "Plovdiv, Bulgaria",
  year =        "1993",
  pages =       "13--23",
  }
@article{OAxelsson_MNeytcheva_1994a,
  author =      "O. Axelsson and M. Neytcheva",
  title =       "Algebraic multilevel iteration method for {S}tieltjes
                 matrices",
  journal =     "Numer. Lin. Alg. Appl.",
  volume =      "1",
  year =        "1994",
  pages =       "213--236",
  }
@article{OAxelsson_MNeytcheva_1995a,
  author =      "O. Axelsson and M. Neytcheva",
  title =       "Scalable algorithms for the solution of {N}avier's equations
                 of elasticity",
  journal =     "J. Comp. Appl. Math.",
  volume =      "63",
  year =        "1995",
  pages =       "149--178",
  }
@article{OAxelsson_BPolman_1988a,
  author =      "O. Axelsson and B. Polman",
  title =       "Block preconditioning and domain decomposition methods, {II}",
  journal =     "J. Comput. Appl. Math.",
  volume =      "24",
  year =        "1988",
  pages =       "55--72",
  }
@inproceedings{OAxelsson_BPolman_1989a,
  author =      "O. Axelsson and B. Polman",
  title =       "A robust preconditioner based on algebraic substructurig and
                 two--level grids",
  booktitle =   "Robust Multi--Grid Methods",
  editor =      "W. Hackbusch",
  series =      "Notes on Numerical Fluid Mechanics",
  volume =      "23",
  publisher =   "Vieweg",
  address =     "Braunschweig",
  year =        "1989",
  pages =       "1--26",
  }
@book{OAxelsson_BPolman_1996a,
  author =      "O. Axelsson and B. Polman",
  title =       "AMLI'96:  Proceedings of the Conference on Algebraic
                 Multilevel Iteration Methods with Applications",
  publisher =   "University of Nijmegan",
  address =     "Nijmegan, The Netherlands",
  year =        "1996",
  }
@article{OAxelsson_PSVassilevski_1989a,
  author =      "O. Axelsson and P. S. Vassilevski",
  title =       "Algebraic multilevel preconditioning methods, {I}",
  journal =     "Numer. Math.",
  volume =      "56",
  year =        "1989",
  pages =       "157--177",
  }
@article{OAxelsson_PSVassilevski_1989b,
  author =      "O. Axelsson and P. S. Vassilevski",
  title =       "A survey of multilevel preconditioned iterative methods",
  journal =     "BIT",
  volume =      "29",
  year =        "1989",
  pages =       "769--793",
  }
@article{OAxelsson_PSVassilevski_1990a,
  author =      "O. Axelsson and P. S. Vassilevski",
  title =       "Algebraic multilevel preconditioning methods.  {P}art {II}",
  journal =     "SIAM J. Numer. Anal.",
  volume =      "27",
  year =        "1990",
  pages =       "1569--1590",
  }
@inproceedings{OAxelsson_PSVassilevski_1991a,
  author =      "O. Axelsson and P. S. Vassilevski",
  title =       "Algebraic multilevel preconditioning methods, {III}",
  booktitle =   "Fourth International Symposium on Domain Decomposition 
                 Methods for Partial Differential Equations",
  editor =      "R. Glowinski and Yu. A. Kuznetsov and G. A. Meurant and 
                 J. P{\'e}riaux and O. B. Widlund",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1991",
  pages =       "163--177",
  }
@inproceedings{OAxelsson_PSVassilevski_1991b,
  author =      "O. Axelsson and P. S. Vassilevski",
  title =       "Variable--step multilevel preconditioning methods, {I}:  
                 selfadjoint and positive definite elliptic problems",
  booktitle =   "Preliminary Proceedings of the Fifth Copper Mountain
                 Conference on Multigrid Methods",
  volume =      "2",
  editor =      "T. A. Manteuffel and S. F. McCormick",
  publisher =   "University of Colorado",
  address =     "Denver",
  year =        "1991",
  pages =       "319--341",
  }
@article{OAxelsson_PSVassilevski_1991c,
  author =      "O. Axelsson and P. S. Vassilevski",
  title =       "Asymptotic work estimates for {AMLI} methods",
  journal =     "Appl. Numer. Math.",
  volume =      "7",
  year =        "1991",
  pages =       "437--451",
  }
@article{CAykanat_FOzgu_FErcal_PSadayappan_1988a,
  author =      "C. Aykanat and F. Ozgu and F. Ercal and P. Sadayappan",
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                 of linear equations on hypercubes",
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  volume =      "27, no. 12",
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                 Computing:  Proceedings of the Seventh International
                 Conference on Domain Decomposition",
  editors =     "D. E. Keyes and J. Xu",
  series =      "Contemporary Mathematics",
  volume =      "180",
  publisher =   "American Mathematical Society",
  address =     "Providence, Rhode Island",
  year =        "1994",
  pages =       "151--156",
  }
@book{KAziz_ASettari_1979a,
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  year =        "1979",
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  author =      "I. Babu\v{s}ka",
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@article{IBabuska_1958a,
  author =      "I. Babu{\v s}ka",
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  author =      "I. Babu{\v s}ka",
  title =       "Finite element methods for domains with corners",
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  year =        "1970",
  pages =       "264--273",
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@article{IBabuska_1971a,
  author =      "I. Babu{\v s}ka",
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  volume =      "16",
  year =        "1971",
  pages =       "322--333",
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@incollection{IBabuska_1988a,
  author =      "I. Babu{\v s}ka",
  title =       "The p and h--p versions of the finite element method:  
                 {T}he state of the art",
  booktitle =   "Finite Elements, Theory and Applications",
  editor =      "D. L. Dwoyer and M. Y. Hussaini and R. G. Voigt",
  publisher =   "Springer--Verlag",
  address =     "New York",
  year =        "1988",
  pages =       "",
  }
@incollection{IBabuska_AKAziz_1972a,
  author =      "I. Babu{\v s}ka and A. K. Aziz",
  title =       "Survey lectures on the mathematical foundation of the finite 
                 element method",
  booktitle =   "The Mathematical Foundation of the Finite Element Method with 
                 Applications to Partial Differential Equations",
  editor =      "A. K. Aziz",
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  year =        "1972",
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@article{IBabuska_AWCraig_JMandel_JPitkaranta_1991a,
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                 J. Pitk{\"a}ranta",
  title =       "Efficient preconditioning for the {$p$}-version finite
                 element method in two dimensions",
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  volume =      "28",
  year =        "1991",
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@article{IBabuska_MRDorr_1981a,
  author =      "I. Babu{\v s}ka and M. R. Dorr",
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                 finite element method",
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  volume =      "37",
  year =        "1981",
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  }
@article{IBabuska_MGriebel_JPitkaranta_1989a,
  author =      "I. Babu{\v s}ka and M. Griebel and J. Pitk{\"a}ranta",
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                 finite element",
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  volume =      "28",
  year =        "1989",
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@article{IBabuska_MSuri_1987a,
  author =      "I. Babu{\v s}ka and M. Suri",
  title =       "The h--p version of the finite element method with
                 quasiuniform meshes",
  journal =     "RAIRO Math. Mod. and Num. Anal.",
  volume =      "21",
  year =        "1987",
  pages =       "",
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@article{IBabuska_MSuri_1987b,
  author =      "I. Babu{\v s}ka and M. Suri",
  title =       "The optimal convergence rate of the p--version of the
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  volume =      "24",
  year =        "1987",
  pages =       "750--776",
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@article{IBabuska_BASzabo_INKatz_1981a,
  author =      "I. Babu{\v s}ka and B. A. Szab{\o} and I. N. Katz",
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  volume =      "18",
  year =        "1981",
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@phdthesis{BBachmann_1993a,
  author =      "B. Bachmann",
  title =       "Adaptive {M}ehrgitterverfahren zur {L}{\"o}sung der
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  school =      "Universit{\"a}t Z{\"u}rich",
  year =        "1993",
  }
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  author =      "B. Bachmann and A. B. Boveri",
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  editor =      "N. D. Melson and T. A. Manteuffel and S. F. McCormick",
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  address =     "Hampton, VA",
  year =        "1993",
  pages =       "1--15",
  }
@article{LBadea_1991a,
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@article{LBadea_PGilormini_1994a,
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@book{SBBaden_1999,
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  author =      "D. Bai and A. Brandt",
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@article{LBai_NKMitra_MFiebig_AKost_1994a,
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  volume =      "18",
  year =        "1994",
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@article{XSBai_LFuchs_1992a,
  author =      "X.--S. Bai and L. Fuchs",
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@article{XSBai_LFuchs_1994a,
  author =      "X.--S. Bai and L. Fuchs",
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                 {A}ssessment of accuracy and efficiency ",
  journal =     "Computer Fluids",
  volume =      "23",
  year =        "1994",
  pages =       "507--521",
  }
@inproceedings{XSBai_LFuchs_1994b,
  author =      "X.--S. Bai and L. Fuchs",
  title =       "A multi--grid method for calculation of turbulence and 
                 combustion",
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  editors =     "P. W. Hemker and P. Wesseling",
  series =      "ISNM",
  volume =      "116",
  publisher =   "Birkh{\"a}user",
  address =     "Basel",
  year =        "1994",
  pages =       "131--142",
  }
@article{ZZBai_1996a,
  author =      "Z.--Z. Bai",
  title =       "A class of hybrid algebraic multilevel preconditioning
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  volume =      "19",
  year =        "1996",
  pages =       "389--399",
  }
@inproceedings{ZZBai_OAxelsson_1996a,
  author =      "Z.--Z. Bai and O. Axelsson",
  title =       "A unified framework for the construction of various algebraic
                 multilevel preconditioning methods",
  booktitle =   "AMLI'96:  Proceedings of the Conference on Algebraic
                 Multilevel Iteration Methods with Applications",
  editors =     "O. Axelsson and B. Polman",
  volume =      "1",
  publisher =   "University of Nijmegan",
  address =     "Nijmegan, The Netherlands",
  year =        "1996",
  pages =       "63--76",
  }
@proceedings{DHBailey_PEBjorstad_JRGilbert_MDMascagni_RSchrieber_HDSimon_VJTorczon_LTWatson_1995a,
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  publisher =   "SIAM",
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  year =        "1995",
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@article{MBaker_1995a,
  author =      "M. B{\"a}ker",
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  volume =      "6",
  year =        "1995",
  pages =       "85--104",
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@article{MBaker_GMack_MSpeh_1993a,
  author =      "M. B{\"a}ker and G. Mack and M. Speh",
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@article{NSBakhvalov_1966a,
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  author =      "N. S. Bakhvalov and A. V. Knyazev",
  title =       "A new iterative algorithm for solving the fictitious fluxes 
                 method problems for elliptic equations",
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@article{NSBakhvalov_AVKnyazev_1990a,
  author =      "N. S. Bakhvalov and A. V. Knyazev",
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                 fictitious flow method for elliptic equations",
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  volume =      "41",
  year =        "1990",
  pages =       "57--62",
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@inproceedings{NSBakhvalov_AVKnyazev_1994a,
  author =      "N. S. Bakhvalov and A. V. Knyanzev",
  title =       "Preconditioned iterative methods in a subspace for linear
                 algebraic equations with large jumps in the coefficients",
  booktitle =   "Domain Decomposition Methods in Scientific and Engineering
                 Computing:  Proceedings of the Seventh International
                 Conference on Domain Decomposition",
  editors =     "D. E. Keyes and J. Xu",
  series =      "Contemporary Mathematics",
  volume =      "180",
  publisher =   "American Mathematical Society",
  address =     "Providence, Rhode Island",
  year =        "1994",
  pages =       "157--162",
  }
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  author =      "N. S. Bakhvalov and A. V. Knyazev",
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  editors =     "G. I. Marchuk",
  publisher =   "CRC Press",
  address =     "Boca Raton",
  year =        "1994",
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  }
@inproceedings{NSBakhvalov_AVKnyazev_GMKobelkov_1991a,
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  booktitle =   "Fourth International Symposium on Domain Decomposition 
                 Methods for Partial Differential Equations",
  editor =      "R. Glowinski and Yu. A. Kuznetsov and G. A. Meurant and 
                 J. P{\'e}riaux and O. B. Widlund",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1991",
  pages =       "197--205",
  }
@article{NSBakhvalov_MYOrekhov_1982a,
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  year =        "1982",
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@article{EBalas_1965a,
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@article{BSBaldwin_HLomax_1978a,
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@inproceedings{VBandy_RSweet_1991a,
  author =      "V. Bandy and R. Sweet",
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  editor =      "T. A. Manteuffel and S. F. McCormick",
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  year =        "1991",
  pages =       "47--55" ,
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@article{VBandy_RSweet_1992a,
  author =      "V. Bandy and R. Sweet",
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  year =        "1992",
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@article{RNBanerjee_MWBenson_1991a,
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  volume =      "40",
  year =        "1991",
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@phdthesis{REBank_1975a,
  author =      "R. E. Bank",
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                 Harvard University",
  address =     "Cambridge, MA",
  year =        "1975",
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@incollection{REBank_1980a,
  author =      "R. E. Bank",
  title =       "A multi-level iterative method for nonlinear elliptic
                 equations",         
  booktitle=    "Elliptic Problem Solvers",
  publisher =   "Academic Press",
  editor =      "M. H. Schultz",
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  year =        "1981",
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@article{REBank_1981a,
  author =      "R. E. Bank",
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  volume =      "18",
  year =        "1981",
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@incollection{REBank_1981b,
  author =      "R. E. Bank",
  title =       "A multi--level iterative method for nonlinear elliptic 
                 equations",
  booktitle =   "Elliptic Problem Solvers",
  editor =      "M. H. Schultz",
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  year =        "1981",
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@article{REBank_1982a,
  author =      "R. E. Bank",
  title =       "Analysis of a multi--level inverse iteration procedure for
                 eigenvalue problems",
  journal =     "SIAM J. Numer. Anal.",
  volume =      "19",
  year =        "1982",
  pages =       "886--898"
  }
@incollection{REBank_1984a,
  author =      "R. E. Bank",
  title =       "Efficient implementation of local mesh refinement algorithms",  
  booktitle =   "Adaptive Computational Methods for Partial        
                 Differential Equations",
  editor =      "I. Babu{\v s}ka and J. Chandra and J. E. Flaherty",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1984",
  pages =       "74--81",
  }
@inproceedings{REBank_1986a,
  author =      "R. E. Bank",
  title =       "A--posteriori error estimates, adaptive local mesh 
                 refinement, and multigrid iteration",
  booktitle =   "Multigrid Methods II",
  editor =      "W. Hackbusch and U. Trottenberg",
  publisher =   "Springer--Verlag",
  address =     "Berlin",
  year =        "1986",
  pages =       "7--22"
  }
@incollection{REBank_1986b,
  author =      "R. E. Bank",
  title =       "Analysis of a local a posteriori error estimator for      
                 elliptic equations", 
  booktitle =   "Accuracy Estimates and Adaptivity in Finite     
                 Element Computations",
  editors =     "I. Babu{\v s}ka and O. C. Zienkiewicz and 
                 E{.~Arantes} e. Oliveira",
  publisher =   "J. Wiley \& Sons",
  address =     "New York",
  year =        "1986",
  pages =       "119--128",
  }
@book{REBank_1990a,
  author =      "R. E. Bank",
  title =       "PLTMG:  A Software Package for Solving Elliptic Partial
                 Differential Equations -- Users' Guide 6.0",
  series =      "Frontiers in Applied Mathematics",
  volume =      "7",
  publisher =   "SIAM Books",
  address =     "Philadelphia",
  year =        "1990",
  }
@book{REBank_1990b,
  author =      "R. E. Bank",
  title =       "Computational Aspects of {VLSI} Design with an Emphasis on
                 Semiconductor Device Simulation",
  series =      "Lecture Notes in Applied Math.",
  volume =      "25",
  publisher =   "American Mathematical Society",
  address =     "Providence",
  year =        "1990",
  }
@book{REBank_1994a,
  author =      "R. E. Bank",
  title =       "PLTMG:  A Software Package for Solving Elliptic Partial
                 Differential Equations -- Users' Guide 7.0",
  series =      "Frontiers in Applied Mathematics",
  volume =      "15",
  publisher =   "SIAM Books",
  address =     "Philadelphia",
  year =        "1994",
  }
@incollection{REBank_1994b,
  author =      "R. E. Bank",
  title =       "Hierarchical preconditioners for elliptic partial 
                 differential equations",
  booktitle =   "Large Scale Matrix Problems and the Numerical Solution of
                 Partial Differential Equations",
  editors =     "J. Gilbert and D. Kershaw",
  publisher =   "Oxford University Press",
  address =     "Oxford, UK",
  year =        "1994",
  pages =       "121--155",
  }
@inbook{REBank_1996a,
  author =      "R. E. Bank",
  title =       "Hierarchical bases and the finite element method",
  series =      "Acta Numerica",
  volume =      "5",
  publisher =   "Cambridge University Press",
  address =     "Cambridge",
  year =        "1996",
  pages =       "1--43",
  }
@inproceedings{REBank_MBenbourenane_1991a,
  author =      "R. E. Bank and M. Benbourenane",
  title =       "A {F}ourier analysis of the two--level hierarchical basis 
                 multigrid method for convection--diffusion equations",
  booktitle =   "Fourth International Symposium on Domain Decomposition 
                 Methods for Partial Differential Equations",
  editor =      "R. Glowinski and Yu. A. Kuznetsov and G. A. Meurant and 
                 J. P{\'e}riaux and O. B. Widlund",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1991",
  pages =       "178--184",
  }
@article{REBank_MBenbourenane_1992a,
  author =      "R. E. Bank and M. Benbourenane",
  title =       "The hierarchical basis multigrid method for
                 convection--diffusion equations",
  journal =     "Numer. Math.",
  volume =      "61",
  year =        "1992",
  pages =       "7--37",
  }
@book{REBank_RBulirsch_HGajewski_KMerten_1994a,
  author =      "R. E. Bank and R. Bulirsch and H. Gajewski and K. Merten",
  title =       "Mathematical Modelling and Simulation of Electrical Circuits
                 and Semiconductor Devices", 
  series =      "Int. Series Numer. Math.",
  volume =      "117",
  publisher =   "Birkh{\" a}user",
  address =     "Basel",
  year =        "1994",
  }
@book{REBank_RBulirsch_KMerten_1990a,
  author =      "R. E. Bank and R. Bulirsch and K. Merten",
  title =       "Mathematical Modelling and Simulation of Electrical Circuits
                 and Semiconductor Devices", 
  series =      "Int. Series Numer. Math.",
  volume =      "93",
  publisher =   "Birkh{\" a}user",
  address =     "Basel",
  year =        "1990",
  }
@article{REBank_TFChan_1986a,
  author =      "R. E. Bank and T. F. Chan",
  title =       "{PLTMGC}:  A multi--grid continuation program for
                 parameterized nonlinear elliptic systems",
  journal =     "SIAM J. Sci. Stat. Comput.",
  volume =      "7",
  year =        "1986",
  pages =       "540--559"
  }
@article{REBank_TFChan_1993a,
  author =      "R. E. Bank and T. F. Chan",
  title =       "An analysis of the composite step bi-conjugate gradient
                 method",
  journal =     "Numer. Math.",
  volume =      "66",
  year =        "1993",
  pages =       "295--319",
  }
@article{REBank_TFChan_1994a,
  author =      "R. E. Bank and T. F. Chan",
  title =       "A composite step bi-conjugate gradient algorithm for
                 nonsymmetric linear systems",
  journal =     "Numer. Algor.",
  volume =      "7",
  year =        "1994",
  pages =       "1--16",
  }
@article{REBank_TFChan_WMCoughran_RKSmith_1989a,
  author =      "R. E. Bank and T. F. Chan and W. M. Coughran and R. K. Smith",
  title =       "The alternating-block-factorization procedure for
                 systems of partial differential equations",
  journal =     "BIT",
  volume =      "29",
  year =        "1989",
  pages =       "938--954",
  }
@article{REBank_CCDouglas_1985a,
  author =      "R. E. Bank and C. C. Douglas",
  title =       "Sharp estimates for multigrid rates of convergence with
                 general smoothing and acceleration",
  journal =     "SIAM J. Numer. Anal.",
  volume =      "22",
  year =        "1985",
  pages =       "617--633"
  }
@article{REBank_TDupont_1981a,
  author =      "R. E. Bank and T. Dupont",
  title =       "An optimal order process for solving elliptic finite element
                 equations",
  journal =     "Math. Comp.",
  volume =      "36",
  year =        "1981",
  pages =       "35--51"
  }
@article{REBank_TDupont_HYserentant_1988a,
  author =      "R. E. Bank and T. Dupont and H. Yserentant",
  title =       "The hierarchical basis multigrid method",
  journal =     "Numer. Math.",
  volume =      "52",
  year =        "1988",
  pages =       "427--458"
  }
@inproceedings{REBank_SGutsch_1997a,
  author =      "R. E. Bank and S. Gutsch",
  title =       "Hierarchical basis for the convection-diffusion equation
                 on unstructured meshes",
  booktitle =   "Ninth International Conference on Domain Decomposition
                 Methods",
  editors =     "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
  publisher =   "DDM.org",
  address =     "Bergen",
  year =        "1997",
  pages =       "251--265",
  }
@inproceedings{REBank_SGutsch_1998a,
  author =      "R. E. Bank and S. Gutsch",
  title =       "The generalized hierarchical basis two-level method for the
                 convection-diffusion equation on a regular grid",
  booktitle =   "Multigrid Methods V",
  editors =     "W. Hackbusch and G. Wittum",
  series =      "Lecture Notes in Computational Science and Engineering",
  volume =      "3",
  publisher =   "Springer",
  address =     "Berlin",
  year =        "1998",
  pages =       "1--20",
  }
@inproceedings{REBank_JWJerome_DJRose_1982a,
  author =      "R. E. Bank and J. W. Jerome and D. J. Rose",
  title =       "Analytical and numerical aspects of semiconductor device 
                 modeling",
  booktitle =   "Computing Methods in Applied Sciences and Engineering V",
  editor =      "R. Glowinski and J.--L. Lions",
  publisher =   "North--Holland",
  address =     "Amsterdam",
  year =        "1982",
  pages =       "593--597",
  }
@incollection{REBank_JMandel_SFMcCormick_1985a,
  author =      "R. E. Bank and J. Mandel and S. F. McCormick",
  title =       "Variational multigrid theory",
  booktitle =   "Multigrid Methods",
  editors =     "S. F. McCormick",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1985",
  pages =       "131--178",
  }
@inproceedings{REBank_HDMittelmann_1986a,
  author =      "R. E. Bank and H. D. Mittelmann",
  title =       "Continuation and multi--grid for nonlinear elliptic systems",
  booktitle =   "Multigrid Methods II",
  editor =      "W. Hackbusch and U. Trottenberg",
  publisher =   "Springer--Verlag",
  address =     "Berlin",
  year =        "1986",
  pages =       "23--37"
  }
@article{REBank_HDMittelmann_1989a,
  author =      "R. E. Bank and H. D. Mittelmann",
  title =       "Stepsize selection in continuation procedures and damped
                 {N}ewton's method",    
  journal =     "J. Comp. and Appl. Math.",
  volume =      "26",
  year =        "1989",
  pages =       "67--78",
  }
@article{REBank_DJRose_1981a,
  author =      "R. E. Bank and D. J. Rose",
  title =       "Global approximate {N}ewton methods",
  journal =     "Numer. Math.",
  volume =      "37",
  year =        "1981",
  pages =       "279--295"
  }
@article{REBank_DJRose_1982a,
  author =      "R. E. Bank and D. J. Rose",
  title =       "Analysis of a multilevel iterative method for
                 nonlinear finite element equations",
  journal =     "Math. Comp.",
  volume =      "39",
  year =        "1982",
  pages =       "453--465"
  }
@incollection{REBank_DJRose_1984a,
  author =      "R. E. Bank and D. J. Rose",
  title =       "Discretization and multilevel solution techniques for
                 nonlinear elliptic systems",
  booktitle =   "Elliptic Problem Solvers II",
  editor =      "G. Birkhoff and A. Schoenstadt",
  publisher =   "Academic Press",
  address =     "New York",
  year =        "1984",
  pages =       "493--505",
  }
@article{REBank_DJRose_1987a,
  author =      "R. E. Bank and D. J. Rose",
  title =       "Some error estimates for the box scheme",
  journal =     "SIAM J. Numer. Anal.",
  volume =      "24",
  year =        "1987",
  pages =       "777--787"
  }
@article{REBank_RFSantos_1993a,
  author =      "R. E. Bank and R. F. Santos",
  title =       "Analysis of some moving space-time finite element methods",
  journal =     "SIAM J. Numer. Anal.",
  volume =      "30",
  year =        "1993",
  pages =       "1--18",
  }
@article{REBank_LRScott_1989a,
  author =      "R. E. Bank and L. R. Scott",
  title =       "On the conditioning of finite element equations with highly
                 refined meshes",
  journal =     "SIAM J. Numer. Anal.",
  volume =      "26",
  year =        "1989",
  pages =       "1383--1394",
  }
@inproceedings{REBank_AHSherman_1978a,
  author =      "R. E. Bank and A. H. Sherman",
  title =       "Algorithmic aspects of the multi--level solution of finite 
                 element equations",
  booktitle =   "Sparse Matrix Proceedings 1978",
  editor =      "I. S. Duff and G. W. Stewart",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1979",
  pages =       "62--89",
  }
@incollection{REBank_AHSherman_1979a,
  author =      "R. E. Bank and A. H. Sherman",
  title =       "A comparison of smoothing iterations for multi--level methods",
  booktitle =   "Advances in Computer Methods for Partial Differential 
                 Equations III",
  editor =      "R. Vichnevetsky and R. S. Stepleman",
  publisher =   "IMACS",
  address =     "New York",
  year =        "1979",
  pages =       "143--147",
  }
@inproceedings{REBank_AHSherman_1979b,
  author =      "R. E. Bank and A. H. Sherman",
  title =       "A multi--level iterative method for solving finite element
                 equations",
  booktitle =   "Proceedings of the Fifth Symposium on Reservoir Simulation",
  publisher =   "Society of Petroleum Engineers of AIME",
  address =     "Dallas",
  year =        "1979",
  pages =       "117--126"
  }
@incollection{REBank_AHSherman_1980a,
  author =      "R. E. Bank and A. H. Sherman",
  title =       "The use of adaptive grid refinement for badly behaved 
                 elliptic partial differential equations",
  booktitle=    "Mathematics and Computers in Simulation, XXII",
  publisher=    "North-Holland",
  address =     "Amsterdam",
  year =        "1980",
  pages =       "18--24"
  }
@article{REBank_AHSherman_1981a,
  author =      "R. E. Bank and A. H. Sherman",
  title =       "An adaptive multi--level method for elliptic boundary 
                 value problems",
  journal =     "Computing",
  volume =      "26",
  year =        "1981",
  pages =       "91--105"
  }
@inproceedings{REBank_AHSherman_AWeiser_1982a,
  author =      "R. E. Bank and A. H. Sherman and A. Weiser",
  title =       "On the regularity of local mesh refinement",
  booktitle =   "Proceedings of the IMACS Tenth World Conference",
  editor =      "",
  publisher =   "IMACS",
  address =     "New Brunswick, NJ",
  year =        "1982",
  pages =       "",
  }
@incollection{REBank_AHSherman_AWeiser_1983a,
  author =      "R. E. Bank and A. H. Sherman and A. Weiser",
  title =       "Refinement algorithms and data structures for regular 
                 local mesh refinement",
  booktitle =   "Scientific Computing: Applications of Mathematics and 
                 Computing to the Physical Sciences",
  editor =      "R. S. Stepleman",
  publisher =   "North--Holland",
  address =     "Amsterdam",
  year =        "1983",
  pages =       "3--17",
  }
@article{REBank_RKSmith_1993a,
  author =      "R. E. Bank and R. K. Smith",
  title =       "A posteriori estimates based on hierarchical basis",
  journal =     "SIAM J. Numer. Anal.",
  volume =      "30",
  year =        "1993",
  pages =       "921--935",
  }
@article{REBank_RKSmith_1997a,
  author =      "R. E. Bank and R. K. Smith",
  title =       "Mesh Smoothing Using A Posteriori Error Estimates",
  journal =     "SIAM J. Numer. Anal.",
  volume =      "34",
  year =        "1997",
  pages =       "979-997",
  }
@article{REBank_AWeiser_1985a,
  author =      "R. E. Bank and A. Weiser",
  title =       "Some a posteriori error estimators for elliptic partial 
                 differential equations",
  journal =     "Math. Comp.",
  volume =      "44",
  year =        "1985",
  pages =       "283--301"
  }
@article{REBank_BDWelfert_HYserentant_1990a,
  author =      "R. E. Bank and B. D. Welfert and H. Yserentant",
  title =       "A class of iterative methods for solving mixed finite
                 element equations",    
  journal =     "Numer. Math.",
  volume =      "56",
  year =        "1990",
  pages =       "645--666",
  }
@incollection{REBank_HYserentant_1989a,
  author =      "R. E. Bank and H. Yserentant",
  title =       "Some remarks on the hierarchical basis multigrid method",
  booktitle =   "Domain Decomposition Methods",
  editor =      "T. F. Chan and R. Glowinski and J. P{\'e}riaux and
                 O. B. Widlund",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1989",
  pages =       "140--146",
  }
@inproceedings{REBank_JXu_1994a,
  author =      "R. E. Bank and J. Xu",
  title =       "The hierarchical basis multigrid method and incomplete {LU}
                 decomposition",
  booktitle =   "Domain Decomposition Methods in Scientific and Engineering
                 Computing:  Proceedings of the Seventh International
                 Conference on Domain Decomposition",
  editors =     "D. E. Keyes and J. Xu",
  series =      "Contemporary Mathematics",
  volume =      "180",
  publisher =   "American Mathematical Society",
  address =     "Providence, Rhode Island",
  year =        "1994",
  pages =       "163--173",
  }
@incollection{REBank_JXu_1995a,
  author =      "R. E. Bank and J. Xu",
  title =       "A hierarchical basis multigrid method for unstructured grids",
  booktitle =   "Fast Solvers for Flow Problems. Proceedings of the Tenth
                 GAMM-Seminar Kiel",
  series =      "Notes on Numerical Mathematics",
  volume =      "49",
  editors =     "W. Hackbusch and G. Wittum",
  publisher =   "Vieweg-Verlag",
  address =     "Braunschweig",
  year =        "1995",
  pages =       "1--13",
  }
@article{REBank_JXu_1996a,
  author =      "R. E. Bank and J. Xu",
  title =       "An algorithm for coarsening unstructured meshes",
  journal =     "Numer. Math.",
  volume =      "73",
  year =        "1996",
  pages =       "1--36",
  }
@phdthesis{FBannasch_1983a,
  author =      "F. Bannasch",
  title =       "Mehrgitterverfahren f{\"u}r die dreidimensionale 
                 {P}oissongleichung",
  school =      "Institut f{\"u}r Angewandte Mathematik, Universit{\"a}t Bonn",
  year =        "1983",
  }
@incollection{IMBarbour_NEBehilil_PEGibbs_GSchierholz_MTeper_1985a,
  author =      "I. M. Barbour and N. E. Behilil and P. E. Gibbs and 
                 G. Schierholz and M. Teper",
  title =       "The {L}anczos method in lattice gauge theories",
  booktitle =   "The Recursion Method and its Applications",
  publisher =   "Springer--Verlag",
  address =     "Berlin",
  year =        "1985",
  }
@inproceedings{MBarcus_MPeric_GScheuerer_1988a,
  author =      "M. Barcus and M. Peri{\'c} and G. Sheuerer",
  title =       "A control volume based full multigrid procedure for the 
                 prediction of two--dimensional, laminar, incompressible 
                 flows",
  booktitle =   "Proc. 7th GAMM Conf. on Num. Meth. in Fluid Mechanics",
  series =      "Notes on Num. Fluid Mechanics",
  volume =      "20",
  editor =      "M. Deville",
  publisher =   "Vieweg",
  address =     "Braunschweig",
  year =        "1988",
  pages =       "",
  }
@article{TBarczyk_RWit_1991a,
  author =      "T. Barczyk and R. Wit",
  title =       "Inversion of the fermionic matrix and multigrid",
  journal =     "Acta Phys. Pol. B",
  volume =      "22",
  year =        "1991",
  pages =       "623--629"
  }
@article{DBarkai_ABrandt_1983a,
  author =      "D. Barkai and A. Brandt",
  title =       "Vectorized multigrid {P}oisson solver for the {CDC} {C}yber 
                 205",
  journal =     "Appl. Math. Comput.",
  volume =      "13",
  year =        "1983",
  pages =       "215--228",
  }
@inproceedings{ABarker_BGerviang_1993a,
  author =      "A. Barker and B. Gervang",
  title =       "Relaxed {ILU} preconditioning for the {CG} solution of a
                 singular boundary value problem",
  booktitle =   "Incomplete Decompositions (ILU) -- Algorithms, Theory, and
                 Applications",
  editor =      "W. Hackbusch and G. Wittum",
  series =      "Notes on Numerical Fluid Mechanics",
  volume =      "41",
  publisher =   "Vieweg",
  address =     "Braunschweig",
  year =        "1993",
  pages =       "1--11",
  }
@inproceedings{STBarnard_HDSimon_1993a,
  author =      "S. T. Barnard and H. D. Simon",
  title =       "A fast multilevel implementation of recursive spectral
                 bisection",
  booktitle =   "Proceedings of the Sixth SIAM Conference on Parallel
                 Processing for Scientific Computing",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1993",
  pages =       "711--718",
  }
@article{EBarragy_GFCarey_1988a,
  author =      "E. Barragy and G. F. Carey",
  title =       "A parallel element--by--element solution scheme",
  journal =     "Int. J. Numer. Meth. Engng.",
  volume =      "26",
  year =        "1988",
  pages =       "2367--2382",
  }
@inproceedings{EBarragy_GFCarey_1990a,
  author =      "E. Barragy and G. F. Carey",
  title =       "Parallel--vector computation with high degree 
                 element--by--element methods",
  booktitle =   "Third International Symposium on Domain Decomposition 
                 Methods for Partial Differential Equations",
  editor =      "T. F. Chan and R. Glowinski and J. P{\'e}riaux and
                 O. B. Widlund",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1990",
  pages =       "358--372",
  }
@article{EBarragy_GFCarey_1991a,
  author =      "E. Barragy and G. F. Carey",
  title =       "Bifurcation detection using the Lanczos method and imbedded
                 subspaces",
  journal =     "Impact Comput. Sci. Eng.",
  volume =      "3",
  year =        "1991",
  pages =       "76--92"
  }
@article{JWBarrett_KWMorton_1984a,
  author =      "J. W. Barrett and K. W. Morton",
  title =       "Approximate symmetrization and {P}etrov--{G}alerkin methods 
                 for diffusion--convection problems",
  journal =     "Comp. Meth. Appl. Mech. Engng.",
  volume =      "45",
  year =        "1984",
  pages =       "97--122",
  }
@incollection{KEBarrett_DMButterfield_SEEllis_CJJudd_JHTabor_1985a,
  author =      "K. E. Barrett and D. M. Butterfield and S. E. Ellis and 
                 C. J. Judd and J. H. Tabor",
  title =       "Multigrid analysis of linear elastic stress problems",
  booktitle =   "Multigrid Methods for Integral and Differential Equations",
  editor =      "D. J. Paddon and H. Holstein",
  series =      "The Institute of Mathematics and its Applications Conference 
                 Series",
  volume =      "3",
  publisher =   "Clarendon Press",
  address =     "Oxford",
  year =        "1985",
  pages =       "263--282",
  }
@book{TemplatesBook_1994a,
  author =      "R. Barrett and M. Berry and T. F. Chan and J. Demmel and
                 J. Donato and J. J. Dongarra and V. Eijkhout and R. Pozo and
                 C. Romine and H. van der Vorst",  
  title =       "Templates for the solution of linear systems:
                 building blocks for iterative methods",  
  publisher =   "SIAM Books",
  address =     "Philadelphia",  
  year =        "1994",  
}
@article{SRMBarros_TKauranne_1994a,
  author =      "S. R. M. Barros and T. Kauranne",
  title =       "Parallelization of global spectral weather models",
  journal =     "Parallel Comput.",
  volume =      "20",
  year =        "1994",
  pages =       "1335--1356",
  }
@article{EBarszcz_TFChan_DCJespersen_RSTuminaro_1989a,
  author =      "E. Barszcz and T. F. Chan and D. C. Jespersen and
                 R. S. Tuminaro",
  title =       "{FLO}52 on hypercubes: performance of a parallel code
                 for the {E}uler equations on hypercubes",
  journal =     "J. High Speed Comput.",
  volume =      "1",
  year =        "1989",
  pages =       "481--503",
  }
@article{ABasermann_2000a,
  author =      "A. Basermann",
  title =       "Parallel block {ILUT/ILDLT} preconditioning for sparse
                 eigenproblems and sparse linear systems",
  journal =     "Numer. Lin. Alg. Appl.",
  volume =      "7",
  year =        "2000",
  pages =       "635--648",
  }
@article{CBasler_WTornig_1993a,
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  year =        "1985",
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  year =        "1980",
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  editors =     "R. Glowinski and J. P{\'e}riaux and Z.--C. Shi and O. Widlund",
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  year =        "1984",
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  journal =     "J. Comput. Phys.",
  volume =      "48",
  year =        "1982",
  pages =       "314--343"
  }
@inproceedings{JWBoerstoel_1982c,
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                 approximately normal shocks",
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                 Interior Layers",
  editor =      "J. J. H. Miller",
  series =      "Boole Press Conference Series",
  volume =      "4",
  publisher =   "Boole Press",
  address =     "Dublin",
  year =        "1982",
  pages =       "151--159",
  }
@incollection{JWBoerstoel_1982d,
  author =      "J. W. Boerstoel",
  title =       "A multigrid algorithm for steady transonic potential 
                 flows areound aerofoils using {N}ewton iteration",
  booktitle =   "Multigrid Methods",
  editor =      "H. Lomax",
  series =      "NASA Conference Publication 2202",
  publisher =   "Ames Research Center",
  address =     "Moffett Field, CA",
  year =        "1982",
  pages =       "151--172",
  }
@article{JWBoerstoel_AKassies_1983a,
  author =      "J. W. Boerstoel and A. Kassies",
  title =       "Integrating multigrid relaxation into a robust fast solver 
                 for transonic potential flows around lifting airfoils",
  journal =     "AIAA",
  volume =      "83--1885",
  year =        "1983",
  }
@inproceedings{JWBoerstoel_AEPVeldman_JVDVooren_AJVDWees_1987a,
  author =      "J. W. Boerstoel and A. E. P. Veldman and
                 J.{~Van~Der}~Vooren and A. J.{~Van~Der}~Wees",
  title =       "Trends in {CFD} for aeronautical 3--{D} steady applications:
                 the {D}utch situation",
  booktitle =   "Research in Numerical Fluid Mechanics",
  editor =      "P. Wesseling",
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  publisher =   "Vieweg",
  address =     "Braunschweig",
  year =        "1987",
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  }
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  author =      "I. P. Boglaev and V. V. Sirotkin",
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  journal =     "Appl. Math. Comput.",
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  booktitle =   "Defect Correction Methods:  Theory and Applications",
  editor =      "K. B{\"o}hmer and H. J. Stetter",
  series =      "Computing Suppl. 5",
  publisher =   "Springer--Verlag",
  address =     "Vienna",
  year =        "1984",
  pages =       "193--209",
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@book{KBohmer_HJStetter_1984a,
  author =      "K. B{\"o}hmer and H. J. Stetter",
  title =       "Defect Correction Methods:  Theory and Applications",
  series =      "Computing Suppl. 5",
  publisher =   "Springer--Verlag",
  address =     "Vienna",
  year =        "1984",
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@incollection{KBohmer_PWHemker_HJStetter_1984a,
  author =      "K. B{\"o}hmer and P. W. Hemker and H. J. Stetter",
  title =       "The defect correction approach",
  booktitle =   "Defect Correction Methods:  Theory and Applications",
  editor =      "K. B{\"o}hmer and H. J. Stetter",
  series =      "Computing Suppl. 5",
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  address =     "Vienna",
  year =        "1984",
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  }
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  editor =      "D. Braess and W. Hackbusch and U. Trottenberg",
  series =      "Notes on Numberical Fluid Mechanics",
  volume =      "11",
  publisher =   "Vieweg",
  address =     "Braunschweig",
  year =        "1985",
  pages =       "12--23",
  }
@phdthesis{CBollrath_1985b,
  author =      "C. Bollrath",
  title =       "Zwei {M}ehrgitterverfahren zur numerischen {B}erechnung von 
                 station{\"a}ren {S}tr{\"o}mungen durch por{\"o}se {M}edien 
                 mit freiem {R}and",
  school =      "Abteilung f{\"u}r Mathematik, Ruhr--Universit{\"a}t Bochum",
  year =        "1985",
  }
@article{JHBolstad_HBKeller_1986a,
  author =      "J. H. Bolstad and H. B. Keller",
  title =       "A multigrid continuation method for elliptic problems 
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  volume =      "7",
  year =        "1986",
  pages =       "1081--1104"
  }
@article{WBomhof_HVDVorst_2000a,
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@incollection{LBomholt_PLeyland_1995a,
  author =      "L. Bomholt and P. Leyland",
  title =       "Implementation of unstructured finite element codes on
                 different parallel computers",
  booktitle =   "Parallel Computational Fluid Dynamics",
  editors =     "A. Ecer and J. Hauser and P. Leca and J. P{\'e}riaux",
  publisher =   "Elsevier Science Publishers B.V. (North--Holland)",
  address =     "Amsterdam",
  year =        "1995",
  pages =       "429--442",
  }
@inproceedings{TBonk_1994a,
  author =      "T. Bonk",
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                 quadrature",
  booktitle =   "Adaptive Methods -- Algorithms, Theory and Applications",
  editors =     "W. Hackbusch and G. Wittum",
  series =      "Notes on Numerical Fluid Mechanics",
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  publisher =   "Vieweg",
  address =     "Braunschweig",
  year =        "1994",
  pages =       "54--68",
  }
@inproceedings{JBordner_FSaied_1996a,
  author =      "J. Bordner and F. Saied",
  title =       "{MGL}ab: {A}n interactive multigrid environment",
  booktitle =   "Seventh Copper Mountain Conference on Multigrid Methods",
  volume =      "CP 3339",
  editor =      "N. D. Melson and T. A. Manteuffel and S. F. McCormick and
                 C. C. Douglas",
  publisher =   "NASA",
  address =     "Hampton, VA",
  year =        "1996",
  pages =       "57--71",
  }
@phdthesis{CBorgers_1981a,
  author =      "C. B{\"o}rgers",
  title =       "Mehrgitterverfahren f{\"u}r eiene 
                 {M}ehrstellendiskreitsierung der {P}oissongleichung und 
                 f{\"u}r eiene zweidimensionale singul{\"a}r gest{\"o}rte 
                 {A}ufgabe",
  school =      "Institut f{\"u}r Angewandte Mathematik, Universit{\"a}t Bonn",
  year =        "1981",
  }
@article{CBorgers_1989a,
  author =      "C. B{\"o}rgers",
  title =       "The {N}eumann--{D}irichlet domain decomposition method
                 with inexact solvers on the subdomains",
  journal =     "Numer. Math.",
  volume =      "55",
  year =        "1989",
  pages =       "123--136",
  }
@article{CBorgers_1990a,
  author =      "C. B{\"o}rgers",
  title =       "Domain imbedding methods for the {S}tokes equations",
  journal =     "Numer. Math.",
  volume =      "57",
  year =        "1990",
  pages =       "435--452",
  }
@article{CBorgers_OBWidlund_1989a,
  author =      "C. B{\"o}rgers and O. B. Widlund",
  title =       "A domain decomposition {L}aplace solver for internal
                 combustion modeling",
  journal =     "SIAM J. Sci. Stat. Comput.",
  volume =      "10",
  year =        "1989",
  pages =       "211--226",
  }
@article{CBorgers_OBWidlund_1990a,
  author =      "C. B{\"o}rgers and O. B. Widlund",
  title =       "On finite element domain imbedding methods",
  journal =     "SIAM J. Numer. Anal.",
  volume =      "27",
  year =        "1990",
  pages =       "963--978",
  }
@inproceedings{FABornemann_1994a,
  author =      "F. A. Bornemann",
  title =       "Interpolation spaces and optimal multilevel preconditioners",
  booktitle =   "Domain Decomposition Methods in Scientific and Engineering
                 Computing:  Proceedings of the Seventh International
                 Conference on Domain Decomposition",
  editors =     "D. E. Keyes and J. Xu",
  series =      "Contemporary Mathematics",
  volume =      "180",
  publisher =   "American Mathematical Society",
  address =     "Providence, Rhode Island",
  year =        "1994",
  pages =       "3--8",
  }
@inproceedings{FABornemann_1994b,
  author =      "F. A. Bornemann",
  title =       "Adaptive solution of one--dimensional scalar conservation
                 laws with convex flux",
  booktitle =   "Adaptive Methods -- Algorithms, Theory and Applications",
  editors =     "W. Hackbusch and G. Wittum",
  series =      "Notes on Numerical Fluid Mechanics",
  volume =      "46",
  publisher =   "Vieweg",
  address =     "Braunschweig",
  year =        "1994",
  pages =       "69--83",
  }
@article{FABornemann_PDeuflhard_1996a,
  author =      "F. A. Bornemann and P. Deuflhard",
  title =       "The cascadic multigrid method for elliptic problems",
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  volume =      "75",
  year =        "1996",
  pages =       "135--152",
  }
@inproceedings{FABornemann_PDeuflhard_1997a,
  author =      "F. A. Bornemann and P. Deuflhard",
  title =       "Cascadic multigrid methods",
  booktitle =   "Domain Decomposition Methods in Sciences and Engineering",
  editors =     "R. Glowinski and J. P{\'e}riaux and Z.--C. Shi and O. Widlund",
  series =      "8th International Conference, Beijing, P. R. China",
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  address =     "Chichester, New York, Weinheim, Brisbane, Singapore, Toronto",
  year =        "1997",
  pages =       "205--212",
  }
@article{FBornemann_BErdmann_RKornhuber_1993a,
  author =      "F. Bornemann and B. Erdmann and R. Kornhuber",
  title =       "Adaptive multilevel--methods in three space dimensions",
  journal =     "Int. J. Numer. Methods Engng.",
  year =        "1993",
  volume =      "36",
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@inproceedings{FABornemann_RKrause_1997a,
  author =      "F. A. Bornemann and R. Krause",
  title =       "Classical and cascadic multigrid: a methodological
                 comparison",
  booktitle =   "Ninth International Conference on Domain Decomposition
                 Methods",
  editors =     "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
  publisher =   "DDM.org",
  address =     "Bergen",
  year =        "1997",
  pages =       "64--71",
  }
@article{FABornemann_HYserentant_1993a,
  author =      "F. A. Bornemann and H. Yserentant",
  title =       "A basic norm equivalence for the theory of multilevel 
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  volume =      "64",
  year =        "1993",
  pages =       "455--476",
  }
@article{ABorzi_AKoubek_1993a,
  author =      "A. Borz{\` i} and A. Koubek",
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  volume =      "75",
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  }
@inproceedings{ABorzi_AKoubek_1994a,
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  editors =     "P. W. Hemker and P. Wesseling",
  series =      "ISNM",
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  address =     "Basel",
  year =        "1994",
  pages =       "143--150",
  }
@inproceedings{ABorzi_KKunisch_MVanmaele_2000a,
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  booktitle =   "Multigrid Methods VI",
  editors =     "E. Dick and K. Riemslagh and J. Vierendeels",
  series =      "Lecture Notes in Computational Science and Engineering",
  volume =      "14",
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  year =        "2000",
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  }
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  author =      "A. Borz{\` i} and K. W. Morton and E. S{\"u}li and
                 M. Vanmaele",
  title =       "A full multi-grid method for the solution of the cell vertex
                 finite volume {C}auchy-{R}iemann equations",
  booktitle =   "Seventh Copper Mountain Conference on Multigrid Methods",
  volume =      "CP 3339",
  editor =      "N. D. Melson and T. A. Manteuffel and S. F. McCormick and
                 C. C. Douglas",
  publisher =   "NASA",
  address =     "Hampton, VA",
  year =        "1996",
  pages =       "73--86",
  }
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  title =       "The {S}calar {P}oincare--{S}teklov operator and the 
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  booktitle =   "Fourth International Symposium on Domain Decomposition 
                 Methods for Partial Differential Equations",
  editor =      "R. Glowinski and Yu. A. Kuznetsov and G. A. Meurant and 
                 J. P{\'e}riaux and O. B. Widlund",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1991",
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@article{EFFBotta_AVDPloeg_1995a,
  author =      "E. F. F. Botta and A{.~van~der} Ploeg",
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  address =     "Venice",
  year =        "1995",
  pages =       "989--998",
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@article{EFFBotta_AVDPloeg_1997a,
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  volume =      "11",
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  }
@inproceedings{EFFBotta_AVDPloeg_FWWubs_1996a,
  author =      "E. F. F. Botta and A{.~van~der} Ploeg and F. W. Wubs",
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                 on a shared-memory parallel computer",
  booktitle =   "AMLI'96:  Proceedings of the Conference on Algebraic
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  editors =     "O. Axelsson and B. Polman",
  volume =      "1",
  publisher =   "University of Nijmegan",
  address =     "Nijmegan, The Netherlands",
  year =        "1996",
  pages =       "105--116",
  }
@article{EFFBotta_FWWubs_1993a,
  author =      "E. F. F. Botta and F. W. Wubs",
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@article{EFFBotta_FWWubs_1999a,
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@incollection{NBouhamou_QVDinh_JPeriaux_1995a,
  author =      "N. Bouhamou and Q. V. Dinh and J. P{\'e}riaux",
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  booktitle =   "Parallel Computational Fluid Dynamics",
  editors =     "A. Ecer and J. Hauser and P. Leca and J. P{\'e}riaux",
  publisher =   "Elsevier Science Publishers B.V. (North--Holland)",
  address =     "Amsterdam",
  year =        "1995",
  pages =       "381--388",
  }
@article{JXBouillard_GFBerry_1992a,
  author =      "J. X. Bouillard and G. F. Berry",
  title =       "Performance of a multigrid three dimensional
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  volume =      "35",
  year =        "1992",
  pages =       "2219--2232"
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@inproceedings{MBoulbrachene_PCorteyDumont_JCMiellou_1988a,
  author =      "M. Boulbrachene and Ph. Cortey--Dumont and J. C. Miellou",
  title =       "Mixing finite elements and finite differences in a subdomain 
                 method",
  booktitle =   "First International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations",
  editor =      "R. Glowinski and G. H. Golub and G. A. Meurant and
                 J. P{\'e}riaux",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1988",
  pages =       "198--216",
  }
@article{CBouman_KSauer_1992a,
  author =      "C. Bouman and K. Sauer",
  title =       "Nonlinear multigrid methods of optimization in {B}ayesian
                 tomographic image reconstruction ",
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  volume =      "1766",
  year =        "1992",
  pages =       "296--306",
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  author =      "A. Bounaim",
  title =       "A {L}agrangian approach to a {DDM} for an optimal control
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  booktitle =   "Ninth International Conference on Domain Decomposition
                 Methods",
  editors =     "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
  publisher =   "DDM.org",
  address =     "Bergen",
  year =        "1997",
  pages =       "283--289",
  }
@article{JFBourgat_RGlowinski_PLeTallec_1988a,
  author =      "J. F. Bourgat and R. Glowinski and P. LeTallec",
  title =       "Formulation variationnelle et algorithme de d{\/e}composition
                 de domaines pour les probl{\`e}mes elliptiques",
  journal =     "C.R. Acad. Sci. Paris",
  volume =      "t. 306, S{\/e}rie I",
  year =        "1988",
  pages =       "569--572",
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@incollection{JFBourgat_RGlowinski_PLeTallec_MVidrascu_1989a,
  author =      "J. F. Bourgat and R. Glowinski and P. LeTallec and 
                 M. Vidrascu",
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  booktitle =   "Domain Decomposition Methods",
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  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1989",
  pages =       "3--16",
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@inproceedings{JFBourgat_PLeTallec_BPerthame_YQiu_1994a,
  author =      "J. F. Bourgat and P. LeTallec and B. Perthame and Y. Qiu",
  title =       "Coupling {B}oltzmann and {E}uler equations without 
                 overlapping",
  booktitle =   "Domain Decomposition Methods in Science and Engineering:
                 The Sixth International Conference on Domain Decomposition",
  editors =     "A. Quarteroni and J. P{\'e}riaux and Yu. A. Kuznetsov and
                 O. B. Widlund",
  series =      "Contemporary Mathematics",
  volume =      "157",
  publisher =   "American Mathematical Society",
  address =     "Providence, Rhode Island",
  year =        "1994",
  pages =       "377--398",
  }
@inproceedings{JFBourgat_PLeTallec_DTidriri_YQiu_1992a,
  author =      "J.--F. Bourgat and P. LeTallec and D. Tidriri and Y. Qiu",
  title =       "Numerical coupling of nonconservative or kinetic models with
                 the conservative compressible {N}avier--{S}tokes equations",
  booktitle =   "Fifth International Symposium on Domain Decomposition 
                 Methods for Partial Differential Equations",
  editor =      "D. E. Keyes and T. F. Chan and G. A. Meurant and J. S. Scroggs 
                 and R. G. Voigt",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1992",
  pages =       "420--440",
  }
@article{FBourquin_1989a,
  author =      "F. Bourquin",
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  volume =      "t. 309, S{\/e}rie I",
  year =        "1989",
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  }
@phdthesis{FBourquin_1991a,
  author =      "F. Bourquin",
  title =       "Synth{\`e}se modale et analyse num{\/e}rique des
                 multistructures {\/e}lastiques",
  school =      "Universit{\/e} Pierre et Marie Curie",
  address =     "Paris",
  year =        "1991",
  }
@inproceedings{FBourquin_FDHennezel_1992a,
  author =      "F. Bourquin and F{.~d' }Hennezel",
  title =       "Application of domain decomposition techniques to modal 
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  booktitle =   "Fifth International Symposium on Domain Decomposition 
                 Methods for Partial Differential Equations",
  editor =      "D. E. Keyes and T. F. Chan and G. A. Meurant and J. S. Scroggs 
                 and R. G. Voigt",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1992",
  pages =       "214--223",
  }
@inproceedings{FBourquin_RNamar_1997a,
  author =      "F. Bourquin and R. Namar",
  title =       "Decoupling and modal synthesis of vibrating continuous
                 systems",
  booktitle =   "Ninth International Conference on Domain Decomposition
                 Methods",
  editors =     "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
  publisher =   "DDM.org",
  address =     "Bergen",
  year =        "1997",
  pages =       "290--303",
  }
@article{KPBowman_JHuang_1991a,
  author =      "K. P. Bowman and J. Huang",
  title =       "A multigrid solver for the {H}elmholtz equation on a
                 semiregular grid on the sphere",
  journal =     "Mon. Wea. Rev.",
  volume =      "119",
  year =        "1991",
  pages =       "769--775"
  }
@inproceedings{BJBraams_1986a,
  author =      "B. J. Braams",
  title =       "Magnetohydrodynamic equilibrium calculation using multigrid",
  booktitle =   "Multigrid Methods II",
  editor =      "W. Hackbusch and U. Trottenberg",
  publisher =   "Springer--Verlag",
  address =     "Berlin",
  year =        "1986",
  pages =       "38--51"
  }
@inproceedings{KBrackenridge_1993a,
  author =      "K. Brackenridge",
  title =       "Multigrid and cyclic reduction applied to the {H}elmholz
                 equation",
  booktitle =   "Sixth Copper Mountain Conference on Multigrid Methods",
  volume =      "CP 3224",
  editor =      "N. D. Melson and T. A. Manteuffel and S. F. McCormick",
  publisher =   "NASA",
  address =     "Hampton, VA",
  year =        "1993",
  pages =       "31--41",
  }
@article{DBraess_1981a,
  author =      "D. Braess",
  title =       "The contraction number of a multigrid method for solving 
                 the {P}oisson equation",
  journal =     "Numer. Math.",
  volume =      "37",
  year =        "1981",
  pages =       "387--404"
  }
@inproceedings{DBraess_1982a,
  author =      "D. Braess",
  title =       "The convergence rate of a multigrid method with 
                 {G}auss--{S}eidel relaxation for the {P}oisson equation",
  booktitle =   "Multigrid Methods",
  editor =      "W. Hackbusch and U. Trottenberg",
  series =      "Lecture Notes in Mathematics",
  volume =      "960",
  publisher =   "Springer-Verlag",
  address =     "Berlin",
  year =        "1982",
  pages =       "368--386"
  }
@article{DBraess_1984a,
  author =      "D. Braess",
  title =       "The convergence rate of a multigrid method with 
                 {G}auss--{S}eidel relaxation for the {P}oisson equation 
                 (revised)",
  journal =     "Math. Comp.",
  volume =      "42",
  year =        "1984",
  pages =       "505--519"
  }
@inproceedings{DBraess_1986a,
  author =      "D. Braess",
  title =       "On the combination of the multigrid method and 
                 conjugate gradients",
  booktitle =   "Multigrid Methods II",
  editor =      "W. Hackbusch and U. Trottenberg",
  publisher =   "Springer--Verlag",
  address =     "Berlin",
  year =        "1986",
  pages =       "52--64"
  }
@article{DBraess_1988a,
  author =      "D. Braess",
  title =       "A multigrid method for the membrane problem",
  journal =     "Comput. Mech.",
  volume =      "3",
  year =        "1988",
  pages =       "321--329",
  }
@article{DBraess_1995a,
  author =      "D. Braess",
  title =       "Towards algebraic multigrid for elliptic problems of second
                 order",
  journal =     "Computing",
  volume =      "55",
  year =        "1995",
  pages =       "379--393",
  }
@book{DBraess_1997a,
  author =      "D. Braess",
  title =       "Finite Elements. Theory, Fast Solvers and Applications in
                 Solid Mechanics",
  publisher =   "Cambridge University Press",
  address =     "Cambridge",
  year =        "1997",
  }
@article{DBraess_MBiebighauser_PGrassberger_RLeuverink_1993a,
  author =      "D. Braess and M. Biebigh{\"a}user and P. Grassberger and
                 R. Leuverink",
  title =       "Multi-grid methods for steady state diffusion in random
                 media",
  journal =     "J. Comput. Phys.",
  volume =      "107",
  year =        "1993",
  pages =       "118--123",
  }
@article{DBraess_CBlomer_1990a,
  author =      "D. Braess and C. Bl{\"o}mer",
  title =       "A multigrid method for a parameter dependent problem in solid
                 mechanics",
  journal =     "Numer. Math.",
  volume =      "57",
  year =        "1990",
  pages =       "747--761"
  }
@article{DBraess_WDahmen_1999a,
  author =      "D. Braess and W. Dahmen",
  title =       "A cascadic multigrid algorithm for the {S}tokes equation",
  journal =     "Numer. Math.",
  volume =      "82",
  year =        "1999",
  pages =       "179--191",
  }
@article{DBraess_MDryja_WHackbusch_1999a,
  author =      "D. Braess and M. Dryja and W. Hackbusch",
  title =       "A multigrid method for nonconforming {FE}-discretisations
                 with application to nonmatching grids",
  journal =     "Computing",
  volume =      "63",
  year =        "1999",
  pages =       "1--25",
  }
@article{DBraess_WHackbusch_1983a,
  author =      "D. Braess and W. Hackbusch",
  title =       "A New Convergence Proof for the Multigrid Method Including
                 the {V} Cycle",
  journal =     "SIAM J. Numer. Anal.",
  volume =      "20",
  year =        "1983",
  pages =       "967--975"
  }
@book{DBraess_WHackbusch_UTrottenberg_1984a,
  author =      "D. Braess and W. Hackbusch and U. Trottenberg",
  title =       "Advances in Multi--Grid Methods",
  series =      "Notes on Numerical Fluid Mechanics",
  volume =      "11",
  publisher =   "Vieweg",
  address =     "Braunschweig",
  year =        "1984",
  }
@article{DBraess_PPeisker_1987a,
  author =      "D. Braess and P. Peisker",
  title =       "A conjugate gradient method and a multigrid algorithm for
                 Morley's finite element approximation of the biharmonic
                 equation",
  journal =     "Numer. Math.",
  volume =      "50",
  year =        "1987",
  pages =       "567--586",
  }
@article{DBraess_RSarazin_1997a,
  author =      "D. Braess and R. Sarazin",
  title =       "An efficient smoother for the {S}tokes problem.",
  journal =     "Appl. Numer. Math.",
  volume =      "23",
  year =        "1997",
  pages =       "3--20",
  }
@article{DBraess_RVerfurth_1990a,
  author =      "D. Braess and R. Verf{\"u}rth",
  title =       "Multi--grid methods for non--conforming finite element 
                 methods",
  journal =     "SIAM J. Numer. Anal.",
  volume =      "27",
  year =        "1990",
  pages =       "979--986",
  }
@inproceedings{EBrakkee_ASegal_1994a,
  author =      "E. Brakkee and A. Segal",
  title =       "A parallel domain decomposition algorithm for the
                 incompressible {N}avier {S}tokes equations",
  booktitle =   "Proceedings of Massively Parallel Processing Applications and
                 Development, Delft, The Netherlands, June 21-23, 1994",
  editors =     "",
  publisher =   "Elsevier",
  address =     "Amsterdam",
  year =        "1994",
  pages =       "743--752",
  }
@article{EBrakkee_ASegal_CGMKassels_1995a,
  author =      "E. Brakkee and A. Segal and C. G. M. Kassels",
  title =       "Parallel domain decomposition algorithm for the
                 incompressible {N}avier--{S}tokes equations",
  journal =     "Simul. Pract. Theory",
  volume =      "3",
  year =        "1995",
  pages =       "185--205",
  }
@incollection{EBrakkee_CVuik_PWesseling_1997a,
  author =      "E. Brakkee and C. Vuik and P. Wesseling",
  title =       "Domain decomposition for the incompressible {N}avier--
                 {S}tokes equations: solving subdomain problems accurately
                 and inaccurately",
  booktitle =   "Domain Decomposition Methods in Sciences and Engineering",
  editors =     "R. Glowinski and J. P{\'e}riaux and Z.--C. Shi and O. Widlund",
  series =      "8th International Conference, Beijing, P. R. China",
  volume =      "",
  publisher =   "John Wiley \& Sons",
  address =     "Chichester, New York, Weinheim, Brisbane, Singapore, Toronto",
  year =        "1997",
  pages =       "443--451",
  }
@inproceedings{ABrambilla_CCarlenzoli_GGazzaniga_PGervasio_GSacchi_1994a,
  author =      "A. Brambilla and C. Carlenzoli and G. Gazzaniga and
                 P. Gervasio and G. Sacchi",
  title =       "Implementation of domain decomposition techniques on
                 n{CUBE}2 parallel machine",
  booktitle =   "Domain Decomposition Methods in Science and Engineering:
                 The Sixth International Conference on Domain Decomposition",
  editors =     "A. Quarteroni and J. P{\'e}riaux and Yu. A. Kuznetsov and
                 O. B. Widlund",
  series =      "Contemporary Mathematics",
  volume =      "157",
  publisher =   "American Mathematical Society",
  address =     "Providence, Rhode Island",
  year =        "1994",
  pages =       "345--351",
  }
@article{JHBramble_1966a,
  author =      "J. H. Bramble",
  title =       "A second order finite difference analogue of the first 
                 biharmonic boundary value",
  journal =     "Numer. Math.",
  volume =      "9",
  year =        "1966",
  pages =       "236--249",
  }
@book{JHBramble_1993a,
  author =      "J. H. Bramble",
  title =       "Multigrid Methods",
  series =      "Pitman Research Notes in Mathematical Sciences",
  volume =      "294",
  publisher =   "Longman Scientific \& Technical",
  address =     "Essex, England",
  year =        "1993",
  }
@inproceedings{JHBramble_REEwing_RRParashkevov_JEPasciak_1991a,
  author =      "J. H. Bramble and R. E. Ewing and R. R. Parashkevov and 
                 J. E. Pasciak",
  title =       "Domain decomposition methods for problems with uniform local 
                 refinement in two dimensions",
  booktitle =   "Fourth International Symposium on Domain Decomposition 
                 Methods for Partial Differential Equations",
  editor =      "R. Glowinski and Yu. A. Kuznetsov and G. A. Meurant and 
                 J. P{\'e}riaux and O. B. Widlund",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1991",
  pages =       "91--100",
  }
@article{JHBramble_REEwing_RRParashkevov_JEPasciak_1992a,
  author =      "J. H. Bramble and R. E. Ewing and R. R. Parashkevov 
                 and J. E. Pasciak",
  title =       "Domain decomposition methods for problems with partial 
                 refinement",
  journal =     "SIAM J. Sci. Stat. Comput.",
  volume =      "13",
  year =        "1992",
  pages =       "397--410"
  }
@article{JHBramble_REEwing_JEPasciak_AHSchatz_1988a,
  author =      "J. H. Bramble and R. E. Ewing and J. E. Pasciak and 
                 A. H. Schatz",
  title =       "A preconditioning technique for the efficient solution 
                 of problems with local grid refinement",
  journal =     "Comp. Meth. Appl. Mech. Engng.",
  volume =      "67",
  year =        "1988",
  pages =       "149--159"
  }
@inproceedings{JHBramble_DYKwak_JEPasciak_1993a,
  author =      "J. H. Bramble and D. Y. Kwak and J. E. Pasciak",
  title =       "Uniform convergence of multigrid {V}--cycle iterations
                 for indefinite and nonsymmetric problems",
  booktitle =   "Sixth Copper Mountain Conference on Multigrid Methods",
  volume =      "CP 3224",
  editor =      "N. D. Melson and T. A. Manteuffel and S. F. McCormick",
  publisher =   "NASA",
  address =     "Hampton, VA",
  year =        "1993",
  pages =       "43--59",
  }
@article{JHBramble_DYKwak_JEPasciak_1994a,
  author =      "J. H. Bramble and D. Y. Kwak and J. E. Pasciak",
  title =       "Uniform convergence of multigrid {V}--cycle 
                 iterations for indefinite and nonsymmetric problems",
  journal =     "SIAM J. Numer. Anal.",
  volume =      "31",
  year =        "1994",
  pages =       "1746--1763",
  }
@article{JHBramble_JEPasciak_1987a,
  author =      "J. H. Bramble and J. E. Pasciak",
  title =       "New convergence estimates for multigrid algorithms",
  journal =     "Math. Comp.",
  volume =      "49",
  year =        "1987",
  pages =       "311--329"
  }
@inproceedings{JHBramble_JEPasciak_1991a,
  author =      "J. H. Bramble and J. E. Pasciak",
  title =       "The analysis of smoothers for multigrid algorithms",
  booktitle =   "Preliminary Proceedings of the Fifth Copper Mountain
                 Conference on Multigrid Methods",
  volume =      "1",
  editor =      "T. A. Manteuffel and S. F. McCormick",
  publisher =   "University of Colorado",
  address =     "Denver",
  year =        "1991",
  pages =       "153--175",
  }
@article{JHBramble_JEPasciak_1992a,
  author =      "J. H. Bramble and J. E. Pasciak",
  title =       "The analysis of smoothers for multigrid algorithms",
  journal =     "Math. Comp.",
  volume =      "58",
  year =        "1992",
  pages =       "467--488"
  }
@article{JHBramble_JEPasciak_1993a,
  author =      "J. H. Bramble and J. E. Pasciak",
  title =       "New estimates for multigrid algorithms including the
                 {V}--cycle",
  journal =     "Math. Comp.",
  volume =      "60",
  year =        "1993",
  pages =       "447--471",
  }
@inproceedings{JHBramble_JEPasciak_1994a,
  author =      "J. H. Bramble and J. E. Pasciak",
  title =       "Uniform convergence estimates for multigrid {V}--cycle
                 algorithms with less than full elliptic regularity",
  booktitle =   "Domain Decomposition Methods in Science and Engineering:
                 The Sixth International Conference on Domain Decomposition",
  editors =     "A. Quarteroni and J. P{\'e}riaux and Yu. A. Kuznetsov and
                 O. B. Widlund",
  series =      "Contemporary Mathematics",
  volume =      "157",
  publisher =   "American Mathematical Society",
  address =     "Providence, Rhode Island",
  year =        "1994",
  pages =       "17--26",
  }
@article{JHBramble_JEPasciak_AHSchatz_1986a,
  author =      "J. H. Bramble and J. E. Pasciak and A. H. Schatz",
  title =       "An iterative method for elliptic problems on regions 
                 partitioned into substructures",
  journal =     "Math. Comp.",
  volume =      "46",
  year =        "1986",
  pages =       "361--369",
  }
@article{JHBramble_JEPasciak_AHSchatz_1986b,
  author =      "J. H. Bramble and J. E. Pasciak and A. H. Schatz",
  title =       "The construction of preconditioners for elliptic problems 
                 by substructuring, {I}",
  journal =     "Math. Comp.",
  volume =      "47",
  year =        "1986",
  pages =       "103--134",
  }
@article{JHBramble_JEPasciak_AHSchatz_1987b,
  author =      "J. H. Bramble and J. E. Pasciak and A. H. Schatz",
  title =       "The construction of preconditioners for elliptic problems 
                 by substructuring, {II}",
  journal =     "Math. Comp.",
  volume =      "49",
  year =        "1987",
  pages =       "1--16",
  }
@article{JHBramble_JEPasciak_AHSchatz_1988a,
  author =      "J. H. Bramble and J. E. Pasciak and A. H. Schatz",
  title =       "The construction of preconditioners for elliptic problems 
                 by substructuring, {III}",
  journal =     "Math. Comp.",
  volume =      "51",
  year =        "1988",
  pages =       "415--430",
  }
@article{JHBramble_JEPasciak_AHSchatz_1989a,
  author =      "J. H. Bramble and J. E. Pasciak and A. H. Schatz",
  title =       "The construction of preconditioners for elliptic problems 
                 by substructuring, {IV}",
  journal =     "Math. Comp.",
  volume =      "53",
  year =        "1989",
  pages =       "1--24",
  }
@article{JHBramble_JEPasciak_JWang_JXu_1991a,
  author =      "J. H. Bramble and J. E. Pasciak and J. Wang and J. Xu",
  title =       "Convergence estimates for product iterative methods with
                 applications to domain decomposition",
  journal =     "Math. Comp.",
  volume =      "57",
  year =        "1991",
  pages =       "1--21"
  }
@article{JHBramble_JEPasciak_JWang_JXu_1991b,
  author =      "J. H. Bramble and J. E. Pasciak and J. Wang and J. Xu",
  title =       "Convergence estimates for multigrid algorithms without
                 regularity assumptions",
  journal =     "Math. Comp.",
  volume =      "57",
  year =        "1991",
  pages =       "23--45"
  }
@article{JHBramble_JEPasciak_JXu_1988a,
  author =      "J. H. Bramble and J. E. Pasciak and J. Xu",
  title =       "The analysis of multigrid algorithms for nonsymmetric 
                 and indefinite elliptic problems",
  journal =     "Math. Comp.",
  volume =      "51",
  year =        "1988",
  pages =       "389--414"
  }
@article{JHBramble_JEPasciak_JXu_1990a,
  author =      "J. H. Bramble and J. E. Pasciak and J. Xu",
  title =       "Parallel multilevel preconditioners",
  journal =     "Math. Comp.",
  volume =      "55",
  year =        "1990",
  pages =       "1--22"
  }
@inproceedings{JHBramble_JEPasciak_JXu_1990b,
  author =      "J. H. Bramble and J. E. Pasciak and J. Xu",
  title =       "Parallel multilevel preconditioners",
  booktitle =   "Third International Symposium on Domain Decomposition 
                 Methods for Partial Differential Equations",
  editor =      "T. F. Chan and R. Glowinski and J. P{\'e}riaux and
                 O. B. Widlund",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1990",
  pages =       "341--357",
  }
@article{JHBramble_JEPasciak_JXu_1991a,                           
  author =      "J. H. Bramble and J. E. Pasciak and J. Xu",
  title =       "The analysis of multigrid algorithms with nonnested spaces
                 or noninherited quadratic forms",
  journal =     "Math. Comp.",
  volume =      "56",
  year =        "1991",
  pages =       "1--34"
  }
@inproceedings{JHBramble_JEPasciak_JXu_1992a,
  author =      "J. H. Bramble and J. E. Pasciak and J. Xu",
  title =       "A multilevel preconditioner for domain decomposition
                 boundary systems",
  booktitle =   "Proceedings of the Tenth International Conference on
                 Computer Methods in Applied Science and Engineering",
  publisher =   "Nova Sciences",
  address =     "New York",
  year =        "1992",
  }
@article{JHBramble_JXu_1989a,
  author =      "J. H. Bramble and J. Xu",
  title =       "A local post--processing technique for improvising the
                 accuracy in mixed finite element approximations",
  journal =     "SIAM J. Numer. Anal.",
  volume =      "24",
  year =        "1989",
  pages =       "1267--1275",
  }
@article{JHBramble_JXu_1991a,
  author =      "J. H. Bramble and J. Xu",
  title =       "Some estimates for a weighted $L^2$ projection",
  journal =     "Math. Comp.",
  volume =      "56",
  year =        "1991",
  pages =       "463--476"
  }
@inproceedings{JBramble_JEPasciak_AVassilev_1997a,
  author =      "J. Bramble and J. E. Pasciak and A. Vassilev",
  title =       "Non-overlapping domain decomposition preconditioners with
                 inexact solves",
  booktitle =   "Ninth International Conference on Domain Decomposition
                 Methods",
  editors =     "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
  publisher =   "DDM.org",
  address =     "Bergen",
  year =        "1997",
  pages =       "40--52",
  }
@phdthesis{RBBramley_1989a,
  author =      "R. B. Bramley",
  title =       "Row Projection Methods for Linear Systems",
  school =      "University of Illinois",
  Month =       "May",
  year =        "1989",
  }
@inproceedings{KBrand_1982a,
  author =      "K. Brand",
  title =       "Multigrid bibliography",
  booktitle =   "Multigrid Methods",
  editor =      "W. Hackbusch and U. Trottenberg",
  series =      "Lecture Notes in Mathematics",
  volume =      "960",
  publisher =   "Springer-Verlag",
  address =     "Berlin",
  year =        "1982",
  pages =       "631--650"
  }
@inproceedings{ABrandt_1973a,
  author =      "A. Brandt",
  title =       "Multi--level adaptive technique ({MLAT}) for fast numerical 
                 solution to boundary value problems",
  booktitle =   "Proceedings of the Third International Conference on
                 Numerical Methods in Fluid Mechanics",
  editor =      "H. Cabannes and R. Teman",
  series =      "Lecture Notes in Physics",
  volume =      "18",
  publisher =   "Springer--Verlag",
  address =     "Berlin",
  year =        "1973",
  pages =       "82--89",
  }
@incollection{ABrandt_1977a,
  author =      "A. Brandt",
  title =       "Multi--level adaptive techniques ({MLAT}) for partial 
                 differential equations:  ideas and software",
  booktitle =   "Mathematical Software III",
  editor =      "J. R. Rice",
  publisher =   "Academic Press",
  address =     "New York",
  year =        "1977",
  pages =       "277--318",
  }
@article{ABrandt_1977b,
  author =      "A. Brandt",
  title =       "Multi--level adaptive solutions to boundary--value problems",
  journal =     "Math. Comp.",
  volume =      "31",
  year =        "1977",
  pages =       "333--390",
  }
@incollection{ABrandt_1979a,
  author =      "A. Brandt",
  title =       "Multi--level adaptive finite--element methods. 
                 {I}. {V}ariational problems",
  booktitle =   "Special Topics of Applied Mathematics",
  editor =      "J. Frehse and D. Pallaschke and U. Trotenberg",
  publisher =   "North--Holland",
  address =     "Amsterdam",
  year =        "1979",
  pages =       "91--128",
  }
@incollection{ABrandt_1979b,
  author =      "A. Brandt",
  title =       "Multi--level adaptive techniques ({MLAT}) for 
                 singular--perturbation problems",
  booktitle =   "Numerical Analysis of Singular Perturbation Problems",
  editor =      "P. W. Hemker and J. J. H. Miller",
  publisher =   "Academic Press",
  address =     "New York",
  year =        "1979",
  pages =       "53--142",
  }
@incollection{ABrandt_1980a,
  author =      "A. Brandt",
  title =       "Numerical stability and fast solutions to boundary value 
                 problems",
  booktitle =   "Boundary and Interior Layers---Computational and Asymptotic 
                 Methods",
  editor =      "J. J. H. Miller",
  publisher =   "Boole Press",
  address =     "Dublin",
  year =        "1980",
  pages =       "29--49",
  }
@article{ABrandt_1980b,
  author =      "A. Brandt",
  title =       "Multi--level adaptive computations in fluid dynamics",
  journal =     "AIAA J.",
  volume =      "18",
  year =        "1980",
  pages =       "1165--1172",
  }
@incollection{ABrandt_1980c,
  author =      "A. Brandt",
  title =       "Stages in developing multigrid solutions",
  booktitle =   "Numerical Methods for Engineering I",
  editor =      "E. Absi and R. Glowinski and P. Lascaux and H. Veysseyre",
  publisher =   "Dunod",
  address =     "Paris",
  year =        "1980",
  pages =       "23--45",
  }
@incollection{ABrandt_1981b,
  author =      "A. Brandt",
  title =       "Multigrid solvers on parallel computers",
  booktitle =   "Elliptic Problem Solvers",
  publisher =   "Academic Press",
  editor =      "M. H. Schultz",
  address =     "New York",
  year =        "1981",
  pages =       "39--83"
  }
@incollection{ABrandt_1982a,
  author =      "A. Brandt",
  title =       "Guide to multigrid development",
  booktitle =   "Multigrid Methods",
  editor =      "W. Hackbusch and U. Trottenberg",
  series =      "Lecture Notes in Mathematics",
  volume =      "960",
  publisher =   "Springer-Verlag",
  address =     "Berlin",
  year =        "1982",
  pages =       "220--312"
  }
@inproceedings{ABrandt_1982b,
  author =      "A. Brandt",
  title =       "Introductory remarks on multigrid methods",
  booktitle =   "Numerical Methods in Fluid Dynamics",
  editor =      "K. W. Morton and M. J. Baines",
  publisher =   "",
  address =     "",
  year =        "1982",
  pages =       "",
  }
@incollection{ABrandt_1982c,
  author =      "A. Brandt",
  title =       "Stages in developing multigrid solutions",
  booktitle =   "Numerical Methods for Engineers (Proc. 2nd Int. Congr.)",
  publisher =   "Dunod",
  editor =      "E. Absi and R. Glowinski and P. Lascaux and H. Veysseyre",
  address =     "Paris",
  year =        "1982",
  pages =       "23--43"
  }
@inproceedings{ABrandt_1982d,
  author =      "A. Brandt",
  title =       "Multigrid solutions to steady--state compressible 
                 {N}avier--{S}tokes equations. {I}.",
  booktitle =   "Computing Methods in Applied Sciences and Engineering V",
  editor =      "R. Glowinski and J.--L. Lions",
  publisher =   "",
  address =     "",
  year =        "1982",
  pages =       "407--423",
  }
@inproceedings{ABrandt_1984a,
  author =      "A. Brandt",
  title =       "Local and multi--level parallel processing mill",
  booktitle =   "Rechnerarchitekturen f{\"u}r die numerische {S}imulation 
                 auf der {B}asis superschneller {L}{\"o}sunsverfahren I",
  editor =      "U. Trottenberg and P. Wypior",
  series =      "GMD--Studien Nr. 88",
  publisher =   "Gesellschaft f{\"u}r {M}athematik und {D}atenverarbeitung",
  address =     "St. Augustin",
  year =        "1984",
  pages =       "31--40",
  }
@book{ABrandt_1984b,
  author =      "A. Brandt",
  title =       "Multigrid techniques:  1984 guide with applications to 
                 fluid dynamics",
  series =      "GMD--Studien Nr. 85",
  publisher =   "Gesellschaft f{\"u}r {M}athematik und {D}atenverarbeitung",
  address =     "St. Augustin",
  year =        "1984",
  pages =       "31--40",
  }
@inproceedings{ABrandt_1985a,
  author =      "A. Brandt",
  title =       "Introduction---levels and scales",
  booktitle =   "Multigrid Methods for Integral and Differential Equations",
  editor =      "D. J. Paddon and H. Holstein",
  series =      "3",
  publisher =   "Claredon Press",
  address =     "Oxford",
  year =        "1985",
  pages =       "1--10",
  }
@article{ABrandt_1986a,
  author =      "A. Brandt",
  title =       "Algebraic multigrid theory:  {T}he symmetric case",
  journal =     "Appl. Math. Comput.",
  volume =      "19",
  year =        "1986",
  pages =       "23--56",
  }
@incollection{ABrandt_1988a,
  author =      "A. Brandt",
  title =       "Multilevel computations: {R}eview and recent developments",
  editor =      "S. F. McCormick",
  booktitle =   "Multigrid Methods: Theory, Applications, and Supercomputing",
  series =      "Lecture Notes in Pure and Applied Mathematics",
  volume =      "110",
  publisher =   "Marcel Dekker",
  address =     "New York",
  year =        "1988",
  pages =       "35--62",
  }
@inproceedings{ABrandt_1989a,
  author =      "A. Brandt",
  title =       "The {W}eizmann {I}nstitute research in multilevel 
                 computation: 1988 report",
  booktitle =   "Proceedings of the Fourth Copper Mountain Conference on 
                 Multigrid Methods",
  editor =      "J. Mandel and S. F. McCormick and J. E. Dendy and C. Farhat
                 and G. Lonsdale and S. V. Parter and J. W. Ruge and 
                 K. St{\"u}ben",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1989",
  pages =       "13--53",
  }
@inproceedings{ABrandt_1989b,
  author =      "A. Brandt",
  title =       "Multi--level algorithms for partial differential equations
                 and large grid problems",
  booktitle =   "Preliminary Proc. of the 4th Copper Mountain Conference on
                 Multigrid Methods",
  volume =      "1",
  editor =      "J. Mandel and S. F. McCormick",
  publisher =   "Computational Mathematics Group, Univ. of Colorado",
  address =     "Denver",
  year =        "1989",
  pages =       "21--54",
  }
@inproceedings{ABrandt_1989c,
  author =      "A. Brandt",
  title =       "Rigorous local mode analysis of multigrid",
  booktitle =   "Preliminary Proc. of the 4th Copper Mountain Conference on
                 Multigrid Methods",
  volume =      "1",
  editor =      "J. Mandel and S. F. McCormick",
  publisher =   "Computational Mathematics Group, Univ. of Colorado",
  address =     "Denver",
  year =        "1989",
  pages =       "55--133",
  }
@article{ABrandt_1991a,
  author =      "A. Brandt",
  title =       "Multilevel computations of integral transforms and particle
                 interaction with oscillatory kernels",
  journal =     "Comput. Phys. Commun.",
  volume =      "65",
  year =        "1991",
  pages =       "24--38",
  }
@incollection{ABrandt_1991b,
  author =      "A. Brandt",
  title =       "Multi--level adaptive finite--element methods {I}:  
                 {V}ariational problems",
  booktitle =   "Special Topics of Applied Mathematics",
  editors =     "J. Frehse and D. Pallaschke and U. Trottenberg",
  publisher =   "North--Holland",
  address =     "Amsterdam",
  year =        "1991",
  pages =       "91--128",
  }
@article{ABrandt_1992a,
  author =      "A. Brandt",
  title =       "Multigrid methods in lattice field computations",
  journal =     "Nucl. Phys. B, Proc. Suppl.",
  volume =      "26B",
  year =        "1992",
  pages =       "137--180"
  }
@article{ABrandt_1994a,
  author =      "A. Brandt",
  title =       "Rigorous quantitative analysis of multigrid, {I}: 
                 {C}onstant coefficients two--level cycle with 
                 {$L_2$}--norm",
  journal =     "SIAM J. Numer. Anal.",
  volume =      "31",
  year =        "1994",
  pages =       "1695--1730",
  }
@article{ABrandt_1997a,
  author =      "A. Brandt",
  title =       "The {G}auss {C}enter research in multiscale scientific
                 computation",
  journal =     "Elect. Trans. Numer. Anal.",
  volume =      "6",
  year =        "1997",
  pages =       "1--34",
  }
@article{ABrandt_2000a,
  author =      "A. Brandt",
  title =       "General highly accurate algebraic coarsening",
  journal =     "Elect. Trans. Numer. Anal.",
  volume =      "10",
  year =        "2000",
  pages =       "1--20",
  }
@article{ABrandt_CWCryer_1983a,
  author =      "A. Brandt and C. W. Cryer",
  title =       "Multigrid algorithms for the solution of linear 
                 complementarity problems arising from free boundary problems",
  journal =     "SIAM J. Sci. Stat. Comput.",
  volume =      "4",
  year =        "1983",
  pages =       "655--684"
  }
@article{ABrandt_JEDendy_HMRuppel_1980a,
  author =      "A. Brandt and J. E. Dendy and H. M. Ruppel",
  title =       "The multigrid method for semi--implicit hydrodynamics codes",
  journal =     "J. Comput. Phys.",
  volume =      "34",
  year =        "1980",
  pages =       "348--370"
  }
@incollection{ABrandt_NDinar_1979a,
  author =      "A. Brandt and N. Dinar",
  title =       "Multigrid solutions to elliptic flow problems",
  booktitle =   "Numerical Methods for Partial Differential Equations",
  publisher =   "Academic Press",
  editor =      "S. Parter",
  address =     "New York",
  year =        "1979",
  pages =       "53--147"
  }
@inproceedings{ABrandt_BDiskin_1994a,
  author =      "A. Brandt and B. Diskin",
  title =       "Multigrid solvers on decomposed domains",
  booktitle =   "Domain Decomposition Methods in Science and Engineering:
                 The Sixth International Conference on Domain Decomposition",
  editors =     "A. Quarteroni and J. P{\'e}riaux and Yu. A. Kuznetsov and
                 O. B. Widlund",
  series =      "Contemporary Mathematics",
  volume =      "157",
  publisher =   "American Mathematical Society",
  address =     "Providence, Rhode Island",
  year =        "1994",
  pages =       "135--155",
  }
@inproceedings{ABrandt_JDym_1996a,
  author =      "A. Brandt and J. Dym",
  title =       "Effective boundary treatment for the biharmonic {D}irichlet
                 problem",
  booktitle =   "Seventh Copper Mountain Conference on Multigrid Methods",
  volume =      "CP 3339",
  editor =      "N. D. Melson and T. A. Manteuffel and S. F. McCormick and
                 C. C. Douglas",
  publisher =   "NASA",
  address =     "Hampton, VA",
  year =        "1996",
  pages =       "97--107",
  }
@article{ABrandt_SRFulton_GDTaylor_1985a,
  author =      "A. Brandt and S. R. Fulton and G. D. Taylor",
  title =       "Improved spectral multigrid methods for periodic elliptic
                 problems",
  journal =     "J. Comput. Phys.",
  volume =      "58",
  year =        "1985",
  pages =       "96--112"
  }
@article{ABrandt_MGalun_DRon_1994a,
  author =      "A. Brandt and M. Galun and D. Ron",
  title =       "Optimal multigrid algorithms for calculating thermodynamic limits",
  journal =     "J. Stat. Phys.",
  volume =      "74",
  year =        "1994",
  pages =       "313--348",
  }
@book{ABrandt_JGreenwald_1991a,
  author =      "A. Brandt and J. Greenwald",
  title =       "Parabolic Multigrid Revisited",
  series =      "International Series of Numerical Mathematics",
  publisher =   "Birkh{\"a}user",
  address =     "Basel",
  year =        "1991",
  }
@book{ABrandt_WJoppich_JLinden_GLonsdale_ASchuller_1992a,
  author =      "A. Brandt and W. Joppich and J. Linden and G. Lonsdale
                 and A. Schuller",
  title =       "Multigrid Course",
  series =      "GMD--690",
  publisher =   "Gesellschaft f{\"u}r {M}athematik und {D}atenverarbeitung",
  address =     "St. Augustin",
  year =        "1992",
  }
@article{ABrandt_ALanza_1987a,
  author =      "A. Brandt and A. Lanza",
  title =       "Multigrid in general relativity {I}:  {S}chwarzschid space
                 time",
  journal =     "Class. Quantum Gravity",
  volume =      "5",
  year =        "1988",
  pages =       "713--732",
  }
@article{ABrandt_ILivshits_1997a,
  author =      "A. Brandt and I. Livshits",
  title =       "Wave-{R}ay multigrid method for standing wave equations",
  journal =     "Elect. Trans. Numer. Anal.",
  volume =      "6",
  year =        "1997",
  pages =       "162--181",
  }
@article{ABrandt_AALubrecht_1990a,
  author =      "A. Brandt and A. A. Lubrecht",
  title =       "Multilevel matrix multiplication and fast solution of 
                 integral equations",
  journal =     "J. Comp. Phys.",
  volume =      "90",
  year =        "1990",
  pages =       "348--370",
  }
@article{ABrandt_SFMcCormick_JWRuge_1983a,
  author =      "A. Brandt and S. F. McCormick and J. W. Ruge",
  title =       "Multigrid methods for differential eigenproblems",
  journal =     "SIAM J. Sci. Stat. Comput.",
  volume =      "4",
  year =        "1983",
  pages =       "244--260"
  }
@incollection{ABrandt_SFMcCormick_JWRuge_1984a,
  author =      "A. Brandt and S. F. McCormick and J. W. Ruge",
  title =       "Algebraic multigrid ({AMG}) for sparse matrix equations",
  booktitle =   "Sparsity and Its Applications",
  editor =      "D. J. Evans",
  publisher =   "Cambridge University Press",
  address =     "Cambridge",
  year =        "1984",
  pages =       "",
  }
@inproceedings{ABrandt_SFMcCormick_GWade_1991a,
  author =      "A. Brandt and S. F. McCormick and G. Wade",
  title =       "Multilevel parameter estimation",
  booktitle =   "Preliminary Proceedings of the Fifth Copper Mountain
                 Conference on Multigrid Methods",
  volume =      "2",
  editor =      "T. A. Manteuffel and S. F. McCormick",
  publisher =   "University of Colorado",
  address =     "Denver",
  year =        "1991",
  pages =       "283--296",
  }
@article{ABrandt_VMikulinsky_1995a,
  author =      "A. Brandt and V. Mikulinsky",
  title =       "On recombining iterants in multigrid algorithms and 
                 problems with small islands",
  journal =     "SIAM J. Sci. Comput.",
  volume =      "16",
  year =        "1995",
  pages =       "20--28",
  }
@inproceedings{ABrandt_DOphir_1983a,
  author =      "A. Brandt and D. Ophir",
  title =       "Gridpack:  {T}oward unification of general grid programming",
  booktitle =   "IFIP Conference on PDE software",
  editor =      "B. Enquist and T. Smedsaas",
  publisher =   "North--Holland",
  address =     "Amsterdam",
  year =        "1983",
  pages =       "",
  }
@incollection{ABrandt_STaasan_1985a,
  author =      "A. Brandt and S. Ta'asan",
  title =       "Multigrid solutions to quasi--elliptic schemes",
  booktitle =   "Progress and Supercomputing in Computational Fluid Dynamics",
  editor =      "E. M. Murmann and S. S. Abarbanely",
  publisher =   "Birkh{\"a}user Verlag",
  address =     "Boston",
  year =        "1985",
  pages =       "235--255",
  }
@inproceedings{ABrandt_STaasan_1986a,
  author =      "A. Brandt and S. Ta'asan",
  title=        "Multigrid methods for nearly singular and slightly 
                 indefinite problems",
  booktitle =   "Multigrid Methods II",
  editor =      "W. Hackbusch and U. Trottenberg",
  publisher =   "Springer--Verlag",
  address =     "Berlin",
  year =        "1986",
  pages =       "99--121"
  }
@inproceedings{ABrandt_CHVenner_1998a,
  author =      "A. Brandt and C. H. Venner",
  title =       "Multilevel evaluation of integral transforms on adaptive
                 grids",
  booktitle =   "Multigrid Methods V",
  editors =     "W. Hackbusch and G. Wittum",
  series =      "Lecture Notes in Computational Science and Engineering",
  volume =      "3",
  publisher =   "Springer",
  address =     "Berlin",
  year =        "1998",
  pages =       "21--44",
  }
@article{ABrandt_IYavneh_1991a,
  author =      "A. Brandt and I. Yavneh",
  title =       "Inadequacy of first-order upwind difference schemes for some
                 recirculating flows",
  journal =     "J. Comput. Phys.",
  volume =      "93",
  year =        "1991",
  pages =       "128--143"
  }
@inproceedings{ABrandt_IYavneh_1991b,
  author =      "A. Brandt and I. Yavneh",
  title =       "Improved coarse--grid correction for high--{R}eynolds flows",
  booktitle =   "Preliminary Proceedings of the Fifth Copper Mountain
                 Conference on Multigrid Methods",
  volume =      "1",
  editor =      "T. A. Manteuffel and S. F. McCormick",
  publisher =   "University of Colorado",
  address =     "Denver",
  year =        "1991",
  pages =       "127--149" ,
  }
@article{ABrandt_IYavneh_1992a,
  author =      "A. Brandt and I. Yavneh",
  title =       "On multigrid solution of high-{R}eynolds incompressible
                 entering flows",
  journal =     "J. Comput. Phys.",
  volume =      "101",
  year =        "1992",
  pages =       "151--164"
  }
@article{ABrandt_IYavneh_1993a,
  author =      "A. Brandt and I. Yavneh",
  title =       "Accelerating multigrid convergence and high-{R}eynolds
                 recirculating flows",
  journal =     "SIAM J. Sci. Comput.",
  volume =      "14",
  year =        "1993",
  pages =       "607--626"
  }
@inproceedings{ABrandt_LYZaslavsky_1996a,
  author =      "A. Brandt and L. Yu. Zaslavsky",
  title =       "Multilevel algorithm for atmospheric assimilation",
  booktitle =   "Seventh Copper Mountain Conference on Multigrid Methods",
  volume =      "CP 3339",
  editor =      "N. D. Melson and T. A. Manteuffel and S. F. McCormick and
                 C. C. Douglas",
  publisher =   "NASA",
  address =     "Hampton, VA",
  year =        "1996",
  pages =       "87--96",
  }
@inproceedings{MBredif_1983a,
  author =      "M. Bredif",
  title =       "Une m{\'e}thode d'{\'e}l{\'e}ments finis multigrille pour
                 le calcul d'{\'e}coulements potentiels transsoniques",
  booktitle =   "Proceedings of the Third International Symposium on
                 Numerical Methods in Engineering",
  editor =      "P. Lascaux",
  volume =      "1",
  publisher =   "Pluralis",
  address =     "Paris",
  year =        "1983",
  pages =       "247--254",
  }
@phdthesis{SCBrenner_1988a,
  author =      "S. C. Brenner",
  title =       "Multigrid Methods for Nonconforming Finite Elements",
  school =      "University of Michigan",
  address =     "Ann Arbor, MI",
  year =        "1988",
  }
@article{SCBrenner_1989a,
  author =      "S. C. Brenner",
  title =       "An optimal order multigrid for {P}1 nonconforming finite
                 elements",
  journal =     "Math. Comp.",
  volume =      "52",
  year =        "1989",
  pages =       "1--15"
  }
@article{SCBrenner_1989b,
  author =      "S. C. Brenner",
  title =       "An optimal order nonconforming multigrid method for the
                 biharmonic equation",
  journal =     "SIAM J. Numer. Anal.",
  volume =      "26",
  year =        "1989",
  pages =       "1124--1138"
  }
@inproceedings{SCBrenner_1989c,
  author =      "S. C. Brenner",
  title =       "Multigrid methods for nonconforming finite elements",
  booktitle =   "Proceedings of the Fourth Copper Mountain Conference on 
                 Multigrid Methods",
  editor =      "J. Mandel and S. F. McCormick and J. E. Dendy and C. Farhat
                 and G. Lonsdale and S. V. Parter and J. W. Ruge and 
                 K. St{\"u}ben",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1989",
  pages =       "54--65",
  }
@inproceedings{SCBrenner_1989d,
  author =      "S. C. Brenner",
  title =       "Multigrid methods for nonconforming finite elements",
  booktitle =   "Preliminary Proc. of the 4th Copper Mountain Conference on
                 Multigrid Methods",
  volume =      "1",
  editor =      "J. Mandel and S. F. McCormick",
  publisher =   "Computational Mathematics Group, Univ. of Colorado",
  address =     "Denver",
  year =        "1989",
  pages =       "135--149",
  }
@article{SCBrenner_1990a,
  author =      "S. C. Brenner",
  title =       "A nonconforming multigrid method for the stationary {S}tokes
                 equations",
  journal =     "Math. Comp.",
  volume =      "55",
  year =        "1990",
  pages =       "411--437"
  }
@article{SCBrenner_1992a,
  author =      "S. C. Brenner",
  title =       "Multigrid algorithm for the lowest-order {R}aviart-{T}homas
                 mixed triangular finite element method",
  journal =     "SIAM J. Numer. Anal.",
  volume =      "29",
  year =        "1992",
  pages =       "647--678"
  }
@article{SCBrenner_1993a,
  author =      "S. C. Brenner",
  title =       "A nonconforming mixed multigrid method for the pure
                 displacement problem in planar linear elasticity",
  journal =     "SIAM J. Numer. Anal.",
  volume =      "30",
  year =        "1993",
  pages =       "116--135"
  }
@article{SCBrenner_1994a,
  author =      "S. C. Brenner",
  title =       "A nonconforming mixed multigrid method for the pure
                 traction problem in planar linear elasticity",
  journal =     "Math. Comp.",
  volume =      "63",
  year =        "1994",
  pages =       "435--460 and S1--S5",
  }
@inproceedings{SCBrenner_1994b,
  author =      "S. C. Brenner",
  title =       "Two--level additive {S}chwarz preconditioners for 
                 nonconforming finite elements",
  booktitle =   "Domain Decomposition Methods in Scientific and Engineering
                 Computing:  Proceedings of the Seventh International
                 Conference on Domain Decomposition",
  editors =     "D. E. Keyes and J. Xu",
  series =      "Contemporary Mathematics",
  volume =      "180",
  publisher =   "American Mathematical Society",
  address =     "Providence, Rhode Island",
  year =        "1994",
  pages =       "9--14",
  }
@article{SCBrenner_1995a,
  author =      "S. C. Brenner",
  title =       "A two-level additive Schwarz preconditioner for the stationary
                 {S}tokes equations",
  journal =     "Adv. Comput. Math.",
  volume =      "4",
  year =        "1995",
  pages =       "111--126",
  }
@article{SCBrenner_1996a,
  author =      "S. C. Brenner",
  title =       "A two-level additive {S}chwarz preconditioner
                 for nonconforming plate elements",
  journal =     "Numer. Math.",
  volume =      "72",
  year =        "1996",
  pages =       "419--447",
  }
@article{SCBrenner_1996b,
  author =      "S. C. Brenner",
  title =       "Multigrid methods for parameter dependent problems",
  journal =     "Mod{\'e}l. Math. Anal. Num{\'e}r.",
  volume =      "30",
  year =        "1996",
  pages =       "265--297",
  }
@article{SCBrenner_1996c,
  author =      "S. C. Brenner",
  title =       "Two-level additive {S}chwarz preconditioners for
                 nonconforming finite element methods",
  journal =     "Math. Comp.",
  volume =      "65",
  year =        "1996",
  pages =       "897--921",
  }
@article{SCBrenner_1996d,
  author =      "S. C. Brenner",
  title =       "Preconditioning complicated finite elements by
                 simple finite elements",
  journal =     "SIAM J. Sci. Comput.",
  volume =      "17",
  year =        "1996",
  pages =       "1269--1274",
  }
@article{SCBrenner_1996e,
  author =      "S. C. Brenner",
  title =       "Two-level additive {S}chwarz preconditioners for plate
                 elements",
  journal =     "Wuhan U. J. Nat. Sci.",
  volume =      "1",
  year =        "1996",
  pages =       "658--667",
  }
@book{SCBrenner_LRScott_1994a,
  author =      "S. C. Brenner and L. R. Scott",
  title =       "The Mathematical Theory of Finite Element Methods",
  series =      "Texts in Applied Mathematics",
  vol =         "15",
  publisher =   "Springer--Verlag",
  address =     "New York",
  year =        "1994",
  }
@article{SCBrenner_LYSung_1992a,
  author =      "S. C. Brenner and L. Y. Sung",
  title =       "Linear finite element methods for planar linear elasticity",
  journal =     "Math. Comp.",
  volume =      "59",
  year =        "1992",
  pages =       "321--338"
  }
@article{SCBrenner_LYSung_1997a,
  author =      "S. C. Brenner and L. Y. Sung",
  title =       "Multigrid methods for the computation of singular solutions
                 and stress intensity factors {II}. {C}rack singularities",
  journal =     "BIT",
  volume =      "37",
  year =        "1997",
  pages =       "623--643",
  }
@article{MBreuer_DHanel_1993a,
  author =      "M. Breuer and D. Hanel",
  title =       "A dual time stepping method for 3--{D}, viscous, 
                 incompressible vortex flows",
  journal =     "Comput. Fluids",
  volume =      "22",
  year =        "1993",
  pages =       "467--484",
  }
@article{CBrezinski_MRedivoZaglia_1995a,
  author =      "C. Brezinski and M. Rediv{o~Z}aglia",
  title =       "Look-ahead in {Bi-CGSTAB} and other product-type methods for
                 linear systems",
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@book{WLBriggs_1987a,
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  editors =     "R. Glowinski and J. P{\'e}riaux and Z.--C. Shi and O. Widlund",
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  booktitle =   "Domain Decomposition Methods in Sciences and Engineering",
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  year =        "1986",
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  author =      "L. Brochard",
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  author =      "H.--J. Bungartz",
  title =       "D{\"u}nne {G}itter und deren {A}nwendung bei der adaptiven
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  year =        "1992",
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  title =       "A proof of convergence for the combination technique for the
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  author =      "H.--J. Bungartz and M. Griebel and D. R{\"o}schke and
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  booktitle =   "Domain Decomposition Methods in Scientific and Engineering
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  address =     "Providence, Rhode Island",
  year =        "1994",
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  author =      "H.--J. Bungartz and M. Griebel and D. R{\"o}schke and
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  title =       "A proof of convergence for the combination technique for the
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                 parallel computers",
  booktitle =   "Collection of Technical Papers - Proceedings of the
                 AIAA/ASME/ASCE/AHS/ASC Structures, Structural 
                 Dynamics, and Materials Conference",
  volume =      "3",
  publisher =    "AIAA",
  address =     "New York, NY",
  year =        "1994",
  pages =       "1356--1365",
  }
@inproceedings{JCahouet_1988a,
  author =      "J. Cahouet",
  title =       "On some difficulties occurring in the simulation of 
                 incompressible fluid flows by domain decomposition methods",
  booktitle =   "First International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations",
  editor =      "R. Glowinski and G. H. Golub and G. A. Meurant and
                 J. P{\'e}riaux",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1988",
  pages =       "313--332",
  }
@incollection{JCahouet_JPChabard_1986a,
  author =      "J. Cahouet and J. P. Chabard",
  title =       "Multi--domains and multi--solvers finite element approach 
                 for the {S}tokes problem",
  booktitle =   "Innovative Numerical Methods in Engineering",
  editor =      "R. P. Shaw and J. Periaux and A. Chaudoet and J. Wu and 
                 C. Marino and C. A. Brebbia",
  publisher =   "Springer--Verlag",
  address =     "Berlin",
  year =        "1986",
  pages =       "317--322",
  }
@inproceedings{WCai_1994a,
  author =      "W. Cai",
  title =       "Domain decomposition and computation of two dimensional 
                 detonation waves",
  booktitle =   "Domain Decomposition Methods in Scientific and Engineering
                 Computing:  Proceedings of the Seventh International
                 Conference on Domain Decomposition",
  editors =     "D. E. Keyes and J. Xu",
  series =      "Contemporary Mathematics",
  volume =      "180",
  publisher =   "American Mathematical Society",
  address =     "Providence, Rhode Island",
  year =        "1994",
  pages =       "459--464",
  }
@book{WCai_ZCShi_CWShu_JXu_1996a,
  author =      "W. Cai and Z.--C. Shi and C.--W. Shu and J. Xu",
  title =       "Numerical Methods in Applied Sciences",
  publisher =   "Science Press New York, Ltd.",
  address =     "New York",
  year =        "1996",
  }
@phdthesis{XCCai_1989a,
  author =      "X.--C. Cai",
  title =       "Some Domain Decomposition Algorithms for Nonselfadjoint 
                 Elliptic and Parabloic Partial Differential Equations",
  school =      "Courant Institute of Mathematical Sciences",
  month =       "September",
  year =        "1989",
  }
@article{XCCai_1989b,
  author =      "X.--C. Cai",
  title =       "An optimal two--level overlapping domain decomposition
                 method for elliptic problems in two and three dimensions",
  journal =     "SIAM J. Sci. Stat. Comput.",
  volume =      "14",
  year =        "1989",
  pages =       "239--247",
  }
@inproceedings{XCCai_1990a,
  author =      "X.--C. Cai",
  title =       "An additive {S}chwarz algorithm for nonselfadjoint elliptic 
                 equations",
  booktitle =   "Third International Symposium on Domain Decomposition 
                 Methods for Partial Differential Equations",
  editor =      "T. F. Chan and R. Glowinski and J. P{\'e}riaux and 
                 O. B. Widlund",
  year =        "1990",
  pages =       "232--244",
  }
@article{XCCai_1991a,
  author =      "X.--C. Cai",
  title =       "Additive {S}chwarz algorithms for parabolic
                 convection-diffusion equations",
  journal =     "Numer. Math.",
  volume =      "60",
  year =        "1991",
  pages =       "41--61",
  }
@inproceedings{XCCai_MDryja_1994a,
  author =      "X.--C. Cai and M. Dryja",
  title =       "Domain decomposition methods for monotone nonlinear elliptic 
                 problems",
  booktitle =   "Domain Decomposition Methods in Scientific and Engineering
                 Computing:  Proceedings of the Seventh International
                 Conference on Domain Decomposition",
  editors =     "D. E. Keyes and J. Xu",
  series =      "Contemporary Mathematics",
  volume =      "180",
  publisher =   "American Mathematical Society",
  address =     "Providence, Rhode Island",
  year =        "1994",
  pages =       "21--27",
  }
@incollection{XCCai_CFarhat_MSarkis_1997a,
  author =      "X.--C. Cai and C. Farhat and M. Sarkis",
  title =       "Schwarz methods for the unsteady compressible {N}avier--
                 {S}tokes equations on unstructured meshes",
  booktitle =   "Domain Decomposition Methods in Sciences and Engineering",
  editors =     "R. Glowinski and J. P{\'e}riaux and Z.--C. Shi and O. Widlund",
  series =      "8th International Conference, Beijing, P. R. China",
  volume =      "",
  publisher =   "John Wiley \& Sons",
  address =     "Chichester, New York, Weinheim, Brisbane, Singapore, Toronto",
  year =        "1997",
  pages =       "453--460",
  }
@inproceedings{XCCai_CFarhat_MSarkis_1997b,
  author =      "X.-C. Cai and C. Farhat and M. Sarkis",
  title =       "Variable-degree {S}chwarz methods for unsteady
                 compressible flows",
  booktitle =   "Ninth International Conference on Domain Decomposition
                 Methods",
  editors =     "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
  publisher =   "DDM.org",
  address =     "Bergen",
  year =        "1997",
  pages =       "682--689",
  }
@inproceedings{XCCai_WDGropp_DEKeyes_1992a,
  author =      "X.--C. Cai and W. D. Gropp and D. E. Keyes",
  title =       "A comparison of some domain decomposition algorithms for
                 nonsymmetric elliptic problems",
  booktitle =   "Fifth International Symposium on Domain Decomposition 
                 Methods for Partial Differential Equations",
  editor =      "D. E. Keyes and T. F. Chan and G. A. Meurant and J. S. Scroggs 
                 and R. G. Voigt",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1992",
  pages =       "224--235",
  }
@article{XCCai_WDGropp_DEKeyes_1992b,
  author =      "X.--C. Cai and W. D. Gropp and D. E. Keyes",
  title =       "Convergence rate estimate for a domain decomposition method",
  journal =     "Numer. Math.",
  volume =      "61",
  year =        "1992",
  pages =       "153--169",
  }
@inproceedings{XCCai_WDGropp_DEKeyes_MDTidriri_1994a,
  author =      "X.--C. Cai and W. D. Gropp and D. E. Keyes and M. D. Tidriri",
  title =       "Parallel implicit methods for aerodynamics",
  booktitle =   "Domain Decomposition Methods in Scientific and Engineering
                 Computing:  Proceedings of the Seventh International
                 Conference on Domain Decomposition",
  editors =     "D. E. Keyes and J. Xu",
  series =      "Contemporary Mathematics",
  volume =      "180",
  publisher =   "American Mathematical Society",
  address =     "Providence, Rhode Island",
  year =        "1994",
  pages =       "465--470",
  }
@incollection{XCCai_DEKeyes_VVekatakrishnan_1997a,
  author =      "X.--C. Cai and D. E. Keyes and V. Vekatakrishnan",
  title =       "Newton--{K}ryov--{S}chwarz: an implicit solver for {CFD}",
  booktitle =   "Domain Decomposition Methods in Sciences and Engineering",
  editors =     "R. Glowinski and J. P{\'e}riaux and Z.--C. Shi and O. Widlund",
  series =      "8th International Conference, Beijing, P. R. China",
  volume =      "",
  publisher =   "John Wiley \& Sons",
  address =     "Chichester, New York, Weinheim, Brisbane, Singapore, Toronto",
  year =        "1997",
  pages =       "387--402",
  }
@inproceedings{ZCai_RRParashkevov_TFRussell_XYe_1997a,
  author =      "Z. Cai and R. R. Parashkevov and T. F. Russell and X. Ye",
  title =       "Overlapping domain decomposition for a mixed finite
                 element method in three dimensions",
  booktitle =   "Ninth International Conference on Domain Decomposition
                 Methods",
  editors =     "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
  publisher =   "DDM.org",
  address =     "Bergen",
  year =        "1997",
  pages =       "188--196",
  }
@article{XCCai_OBWidlund_1992a,
  author =      "X.--C. Cai and O. B. Widlund",
  title =       "Domain decomposition algorithms for indefinite elliptic
                 problems",
  journal =     "SIAM J. Sci. Stat. Comput.",
  volume =      "13",
  year =        "1992",
  pages =       "",
  }
@article{XCCai_OBWidlund_1993a,
  author =      "X.--C. Cai and O. B. Widlund",
  title =       "Multiplicative {S}chwarz algorithms for some nonsymmetric and
                 indefinite problems",
  journal =     "SIAM J. Numer. Anal.",
  volume =      "30",
  year =        "1993",
  pages =       "936--952",
  }
@article{XCCai_OBWidlund_1993b,
  author =      "X.--C. Cai and O. B. Widlund",
  title =       "Multiplicative {S}chwarz algorithms for some nonsymmetric
                 and indefinite problems",
  journal =     "SIAM J. Numer. Anal.",
  volume =      "30",
  year =        "1993",
  pages =       "936--952",
  }
@article{XCCai_JXu_1992a,
  author =      "X.--C. Cai and J. Xu",
  title =       "A preconditioned {GMRES} method for nonsymmetric or
                 indefinite problems",
  journal =     "Math. Comp.",
  volume =      "59",
  pages =       "311--319",
  year =        "1992",
  }
@inproceedings{YCai_IMNavon_1994a,
  author =      "Y. Cai and I. M. Navon",
  title =       "Parallel domain--decomposed preconditioners in finite 
                 element shallow water flow modeling",
  booktitle =   "Domain Decomposition Methods in Scientific and Engineering
                 Computing:  Proceedings of the Seventh International
                 Conference on Domain Decomposition",
  editors =     "D. E. Keyes and J. Xu",
  series =      "Contemporary Mathematics",
  volume =      "180",
  publisher =   "American Mathematical Society",
  address =     "Providence, Rhode Island",
  year =        "1994",
  pages =       "471--476",
  }
@inproceedings{ZCai_CIGoldstein_JEPasciak_1991a,
  author =      "Z. Cai and C. I. Goldstein and J. E. Pasciak",
  title =       "Multilevel iteration for mixed finite element systems with
                 penalty",
  booktitle =   "Preliminary Proceedings of the Fifth Copper Mountain
                 Conference on Multigrid Methods",
  volume =      "1",
  editor =      "T. A. Manteuffel and S. F. McCormick",
  publisher =   "University of Colorado",
  address =     "Denver",
  year =        "1991",
  pages =       "177--195",
  }
@article{ZCai_CIGoldstein_JEPasciak_1993a,
  author =      "Z. Cai and C. I. Goldstein and J. E. Pasciak",
  title =       "Multilevel iteration for mixed finite element systems with 
                 penalty",
  journal =     "SIAM J. Sci. Comput.",
  volume =      "14",
  year =        "1993",
  pages =       "1072--1088",
  }
@article{ZCai_RDLazarow_TAManteuffel_SFMcCormick_1994a,
  author =      "Z. Cai and R. D. Lazarow and T. A. Manteuffel
                 and S. F. McCormick",
  title =       "First-order system least squares for second-order partial
                 differential equations: Part I",
  journal =     "SIAM J. Numer. Anal.",
  year =        "1994",
  volume =      "31",
  pages =       "1785--1802",
}
@article{ZCai_JMandel_SFMcCormick_1991a,
  author =      "Z. Cai and J. Mandel and S. F. McCormick",
  title =       "The finite volume element method for diffusion equations on
                 general triangulations",
  journal =     "SIAM J. Numer. Anal.",
  volume =      "28",
  year =        "1991",
  pages =       "392--402"
  }
@article{ZCai_TAManteuffel_SFMcCormick_1995a,
  author =      "Z. Cai and T. A. Manteuffel and S. F. McCormick",
  title =       "First-order system least squares for
                 velocity-vorticity-pressure form of the {S}tokes equations",
  journal =     "Elect. Trans. Numer. Anal.",
  volume =      "3",
  year =        "1995",
  pages =       "150--159",
  }
@inproceedings{ZCai_TAManteuffel_SFMcCormick_1996a,
  author =      "Z. Cai and T. A. Manteuffel and S. F. McCormick",
  title =       "First-order system least squares for
                 velocity-vorticity-pressure form of the {S}tokes equations,
                 with applications to linear elasticity",
  booktitle =   "Seventh Copper Mountain Conference on Multigrid Methods",
  volume =      "CP 3339",
  editor =      "N. D. Melson and T. A. Manteuffel and S. F. McCormick and
                 C. C. Douglas",
  publisher =   "NASA",
  address =     "Hampton, VA",
  year =        "1996",
  pages =       "123--132",
  }
@inproceedings{ZCai_TAManteuffel_SFMcCormick_1996b,
  author =      "Z. Cai and T. A. Manteuffel and S. F. McCormick",
  title =       "First-order system least squares for the {S}tokes equations,
                 with applications to linear elasticity",
  booktitle =   "Seventh Copper Mountain Conference on Multigrid Methods",
  volume =      "CP 3339",
  editor =      "N. D. Melson and T. A. Manteuffel and S. F. McCormick and
                 C. C. Douglas",
  publisher =   "NASA",
  address =     "Hampton, VA",
  year =        "1996",
  pages =       "133--145",
  }
@article{ZCai_SFMcCormick_1989a,
  author =      "Z. Cai and S. F. McCormick",
  title =       "Computational complexity of the Schwarz alternating
                     procedure",
  journal =     "Int. J. High Speed Comput.",
  year =        "1989",
  volume =      "1",
  pages =       "1--28",
}
@article{ZCai_SFMcCormick_1990a,
  author =      "Z. Cai and S. F. McCormick",
  title =       "On the accuracy of the finite volume element method for
                 diffusion equations on composite grids",
  journal =     "SIAM J. Numer. Anal.",
  year =        "1990",
  volume =      "27",
  pages =       "636--655",
}
@article{JPCaltagirone_KKhadra_PAngot_1995a,      
  author =      "J. P. Caltagirone and K. Khadra abd P. Angot",
  title =       "On a local multigrid mesh refinement method for 
                 solving {N}avier {S}tokes equations",
  journal =     "C.R. Acad. Sci. II, Mec. Phys. Chim. Astron.",
  volume =      "320",
  year =        "1995",
  pages =       "295--302",
  }
@article{RCamarero_MReggio_1983a,
  author =      "R. Camarero and M. Reggio",
  title =       "Multigrid scheme for three--dimensional body--fitted 
                 coordinates in turbomachine applications",
  journal =     "J. Fluids Engng. Trans. ASME",
  volume =      "105",
  year =        "83",
  pages =       "76--82",
  }
@article{RCamarero_MYuonis_1980a,
  author =      "R. Camarero and M. Younis",
  title =       "Efficient generation of body--fitted coordinates 
                 for cascades using multigrid",
  journal =     "AIAA J.",
  volume =      "18",
  year =        "1980",
  pages =       "487--488",
  }
@incollection{LCambier_WGhazzi_JPVeuillot_HViviand_1982a,
  author =      "L. Cambier and W. Ghazzi and J. P. Veuillot and H. Viviand",
  title =       "Une approche par domaines pour le calcul d'ecoulements
                 compressibles",
  booktitle =   "Computer Methods in Applied Sciences and Engineering V",
  editor =      "R. Glowinski and J.--L. Lions",
  publisher =   "North--Holland",
  address =     "Amsterdam",
  year =        "1982",
  pages =       "423--446",
  }
@incollection{LCambier_WGhazzi_JPVeuillot_HViviand_1984a,
  author =      "L. Cambier and W. Ghazzi and J. P. Veuillot and H. Viviand",
  title =       "A multi--domain approach for the computation of viscous",
  booktitle =   "Recent Advances in Numerical Methods in Fluids",
  volume =      "3",
  publisher =   "Pineridge",
  address =     "Swansea",
  year =        "1984",
  pages =      "",
  }
@inproceedings{FCamilli_MFalcone_PLanucara_ASeghini_1994a,
  author =      "F. Camilli and M. Falcone and P. Lanucara and A. Seghini",
  title =       "A domain decomposition method for {B}ellman equations",
  booktitle =   "Domain Decomposition Methods in Scientific and Engineering
                 Computing:  Proceedings of the Seventh International
                 Conference on Domain Decomposition",
  editors =     "D. E. Keyes and J. Xu",
  series =      "Contemporary Mathematics",
  volume =      "180",
  publisher =   "American Mathematical Society",
  address =     "Providence, Rhode Island",
  year =        "1994",
  pages =       "477--483",
  }
@inproceedings{WJCamp_SJPlimpton_1993a,
  author =      "W. J. Camp and S. J. Plimpton",
  title =       "MIMD massively parallel methods for engineering and science 
                 problems",
  booktitle =   "High Performance Computing Symposium 1993. Grand Challenges 
                 in Computer Simulation. Proceedings of the 1993 Simulation 
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                 1993",
  volume =      "",
  editor =      "",
  publisher =   "",
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  year =        "1993",
  pages =       "127--142",
  }
@article{SLCampbell_ICFIpsen_CTKelley_CDMeyer_1996a,
  author =      "S. L. Campbell and I. C. F. Ipsen and C. T. Kelley and
                 C. D. Meyer",
  title =       "{GMRES} and the minimizing polynomial",
  journal =     "BIT",
  volume =      "36",
  year =        "1996",
  pages =       "664--675",
  }
@inproceedings{DCanright_VEHenson_1996a,
  author =      "D. Canright and V. E. Henson",
  title =       "Towards an {FVE-FAC} method for determining
                 thermocapillary effects on weld pool shape",
  booktitle =   "Seventh Copper Mountain Conference on Multigrid Methods",
  volume =      "CP 3339",
  editor =      "N. D. Melson and T. A. Manteuffel and S. F. McCormick and
                 C. C. Douglas",
  publisher =   "NASA",
  address =     "Hampton, VA",
  year =        "1996",
  pages =       "147--166",
  }
@inproceedings{JCanu_HRitzdorf_1994a,
  author =      "J. Canu and H. Ritzdorf",
  title =       "Adaptive, block--structured multigrid on local memory
                 machines",
  booktitle =   "Adaptive Methods -- Algorithms, Theory and Applications",
  editors =     "W. Hackbusch and G. Wittum",
  series =      "Notes on Numerical Fluid Mechanics",
  volume =      "46",
  publisher =   "Vieweg",
  address =     "Braunschweig",
  year =        "1994",
  pages =       "84--98",
  }
@article{CCanuto_DFunaro_1988a,
  author =      "C. Canuto and D. Funaro",
  title =       "The {S}chwarz algorithm for spectral methods",
  journal =     "SIAM J. Numer. Anal.",
  volume =      "25",
  year =        "1988",
  pages =       "24--40",
  }
@book{CCanuto_MYHussaini_AQuarteroni_TAZang_1987a,
  author =      "C. Canuto and M. Y. Hussaini and A. Quarteroni and 
                 T. A. Zang",
  title =       "Spectral Methods in Fluid Dynamics",
  publisher =   "Springer--Verlag",
  address =     "New York",
  year =        "1987",
  }
@inproceedings{CCanuto_ARusso_1994a,
  author =      "C. Canuto and A. Russo",
  title =       "Self--adaptive coupling of mathematical models and/or
                 numerical methods",
  booktitle =   "Domain Decomposition Methods in Science and Engineering:
                 The Sixth International Conference on Domain Decomposition",
  editors =     "A. Quarteroni and J. P{\'e}riaux and Yu. A. Kuznetsov and
                 O. B. Widlund",
  series =      "Contemporary Mathematics",
  volume =      "157",
  publisher =   "American Mathematical Society",
  address =     "Providence, Rhode Island",
  year =        "1994",
  pages =       "35--44",
  }
@article{SSCapizzano_CTPossio_2000a,
  author =      "S. S. Capizzano and C. T. Possio",
  title =       "High-order Finite Difference schemes and {T}oeplitz based
                 preconditioners for elliptic problems",
  journal =     "Elect. Trans. Numer. Anal.",
  volume =      "11",
  year =        "2000",
  pages =       "55-84",
  }
@article{GFCarey_1986a,
  author =      "G. F. Carey",
  title =       "Parallelism in finite element modelling",
  journal =     "CANM",
  volume =      "2",
  year =        "1986",
  pages =       "281--287",
  }
@incollection{GFCarey_BJiang_1984a,
  author =      "G. F. Carey and B. Jiang",
  title =       "Element--by--element preconditioned conjugate gradient 
                 algorithm for compressible flow",
  booktitle =   "Innovative Methods for Nonlinear Problems",
  editor =      "W. K. Liu and T. Belytschko and K. C. Park",
  publisher =   "Pineridge Press",
  address =     "Swansea, UK",
  year =        "1984",
  pages =       "41--49",
  }
@inproceedings{GFCarey_HKohli_1991a,
  author =      "G. F. Carey and H. Kohli",
  title =       "Shape optimization using adaptive grids and multigrid
                 solution",
  booktitle =   "Preliminary Proceedings of the Fifth Copper Mountain
                 Conference on Multigrid Methods",
  volume =      "1",
  editor =      "T. A. Manteuffel and S. F. McCormick",
  publisher =   "University of Colorado",
  address =     "Denver",
  year =        "1991",
  pages =       "91--100",
  }
@article{GFCarey_RMcLay_MSharma_EBaraggy_1988a,
  author =      "G. F. Carey and R. McLay and M. Sharma and E. Baraggy",
  title =       "Element--by--element vector and parallel computation",
  journal =     "CANM",
  volume =      "4",
  year =        "1988",
  pages =       "299--307",
  }
@inproceedings{GFCarey_APardhanani_1989a,
  author =      "G. F. Carey and A. Pardhanani",
  title =       "Multigrid solution of convection--diffusion problems",
  booktitle =   "Preliminary Proc. of the 4th Copper Mountain Conference on
                 Multigrid Methods",
  volume =      "1",
  editor =      "J. Mandel and S. F. McCormick",
  publisher =   "Computational Mathematics Group, Univ. of Colorado",
  address =     "Denver",
  year =        "1989",
  pages =       "151--163",
  }
@inproceedings{CCarlenzoli_AQuarteroni_AValli_1992a,
  author =      "C. Carlenzoli and A. Quarteroni and A. Valli",
  title =       "Spectral domain decomposition methods for compressible
                 {N}avier--{S}tokes equations",
  booktitle =   "Fifth International Symposium on Domain Decomposition 
                 Methods for Partial Differential Equations",
  editor =      "D. E. Keyes and T. F. Chan and G. A. Meurant and J. S. Scroggs 
                 and R. G. Voigt",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1992",
  pages =       "441--450",
  }
@article{BCarpentieri_ISDuff_LGiraud_2000a,
  author =      "B. Carpentieri and I. S. Duff and L. Giraud",
  title =       "Sparse pattern selection strategies for robust {F}robenius
                 norm minimization preconditioners in electromagnetism",
  journal =     "Numer. Lin. Alg. Appl.",
  volume =      "7",
  year =        "2000",
  pages =       "667-685",
  }
@inproceedings{GCarre_GCarte_HGuillard_SLanteri_2000a,
  author =      "G. Carr{\'e} and G. Carte and H. Guillard and S. Lanteri",
  title =       "Multigrid strateegies for {CFD} problems on non--structured
                 meshes",
  booktitle =   "Multigrid Methods VI",
  editors =     "E. Dick and K. Riemslagh and J. Vierendeels",
  series =      "Lecture Notes in Computational Science and Engineering",
  volume =      "14",
  publisher =   "Springer--Verlag",
  address =     "Berlin",
  year =        "2000",
  pages =       "1--10",
  }
@phdthesis{PMCarter_1993a,
  author =      "P. M. Carter",
  title =       "Computational Methods for the Shape from Shading Problem",
  school =      "University of British Columbia",
  address =     "Vancouver, B.C. Canada",
  year =        "1993",
  }
@inproceedings{LMCarvalho_LGiraud_1997a,
  author =      "L. M. Carvalho and L. Giraud",
  title =       "Additive {S}chwarz for the {S}chur complement method",
  booktitle =   "Ninth International Conference on Domain Decomposition
                 Methods",
  editors =     "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
  publisher =   "DDM.org",
  address =     "Bergen",
  year =        "1997",
  pages =       "304--310",
  }
@article{LMCarvalho_LGiraud_GAMeurant_2001a,
  author =      "L. M. Carvalho and L. Giraud and G. A. Meurant",
  title =       "Local preconditioners for two-level non-overlapping domain
                 decomposition methods",
  journal =     "Numer. Lin. Alg. Appl.",
  volume =      "8",
  year =        "2001",
  pages =       "207--227",
  }
@inproceedings{MCasarin_1996a,
  author =      "M. Casarin",
  title =       "Quasi-optimal {S}chwarz methods for the conforming spectral
                 element discretization",
  booktitle =   "Seventh Copper Mountain Conference on Multigrid Methods",
  volume =      "CP 3339",
  editor =      "N. D. Melson and T. A. Manteuffel and S. F. McCormick and
                 C. C. Douglas",
  publisher =   "NASA",
  address =     "Hampton, VA",
  year =        "1996",
  pages =       "167--182",
  }
@inproceedings{MACasarin_1997a,
  author =      "M. A. Casarin",
  title =       "Schwarz preconditioners for the spectral element {S}tokes
                 and {N}avier--{S}tokes Discretizations",
  booktitle =   "Ninth International Conference on Domain Decomposition
                 Methods",
  editors =     "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
  publisher =   "DDM.org",
  address =     "Bergen",
  year =        "1997",
  pages =       "72--79",
  }
@article{MACasarin_OBWidlund_1996a,
  author =      "M. A. Casarin and O. B. Widlund",
  title =       "A preconditioner for the mortar finite element method",
  journal =     "Elect. Trans. Numer. Anal.",
  volume =      "4",
  year =        "1996",
  pages =       "75--88",
  }
@incollection{LACatalano_PDePalma_MNapolitano_1992a,
  author =      "L. A. Catalano and P. De Palma and M. Napolitano",
  title =       "Explicit multigrid smoothing for multidimensional upwinding
                 of the {E}uler equations",
  booktitle =   "Notes on Numerical Fluid Mechanics",
  volume =      "35",
  publisher =   "Vieweg",
  address =     "Braunschweig",
  year =        "1992",
  pages =       "69--78",
  }
@inproceedings{LACatalano_PDePalma_MNapolitano_GPascazio_1994a,
  author =      "L. A. Catalano and P. De{~P}alma and M. Napolitano and 
                 G. Pascazio",
  title =       "A multidimensional upwind solution adaptive multigrid
                 solver forinviscid cascades",
  booktitle =   "Multigrid Methods IV, Proceedings of the Fourth European
                 Multigrid Conference, Amsterdam, July 6-9, 1993",
  editors =     "P. W. Hemker and P. Wesseling",
  series =      "ISNM",
  volume =      "116",
  publisher =   "Birkh{\"a}user",
  address =     "Basel",
  year =        "1994",
  pages =       "151--162",
  }
@article{LACatalano_MNapolitano_HDeconinck_1992a,
  author =      "L. A. Catalano and M. Napolitano and H. Deconinck",
  title =       "Optimal multistage schemes for multigrid smoothing of
                 two-dimensional advection operators",
  journal =     "Comm. Appl. Num. Methods",
  volume =      "8",
  year =        "1992",
  pages =       "785--795"
  }
@article{DACaughey_1983a,
  author =      "D. A. Caughey",
  title =       "Multi--grid calculation of three--dimensional transonic 
                 potential flows",
  journal =     "Appl. Math. Comput.",
  volume =      "13",
  year =        "1983",
  pages =       "241--260",
  }
@article{DACaughey_1993a,
  author =      "D. A. Caughey",
  title =       "Implicit multigrid techniques for compressible flows",
  journal =     "Comput. Fluids",
  volume =      "22",
  year =        "1993",
  pages =       "117--124",
  }
@article{DACaughey_RKIyer_1988a,
  author =      "D. A. Caughey and R. K. Iyer",
  title =       "Diagonal implicit multigrid calculation of inlet flowfields",
  journal =     "AIAA J.",
  volume =      "27",
  year =        "1988",
  pages =       "110--112",
  }
@inproceedings{KJCavanaugh_VEHenson_1993a,
  author =      "K. J. Cavanaugh and V. E. Henson",
  title =       "A multilevel cost--space approach to solving the balance
                 long transportation problem",
  booktitle =   "Sixth Copper Mountain Conference on Multigrid Methods",
  volume =      "CP 3224",
  editor =      "N. D. Melson and T. A. Manteuffel and S. F. McCormick",
  publisher =   "NASA",
  address =     "Hampton, VA",
  year =        "1993",
  pages =       "61--75",
  }
@article{JCCavendish_1974a,
  author =      "J. C. Cavendish",
  title =       "Automatic triangulation of arbitrary planar domains for
                 the finite element method",
  journal =     "Int. J. Numer. Meth. Engng.",
  volume =      "8",
  year =        "1974",
  pages =       "679--696",
  }
@inproceedings{LChampaney_JYCognard_DDureisseix_PLadeveze_1995a,
  author =      "L. Champaney and J.--Y. Cognard and D. Dureisseix and
                 P. Ladev{\`e}ze",
  title =       "3{D} structures assembly analysis with a modular
                 approach suited to parallel computations",
  booktitle =   "28th International Symposium on Automotive Technology
                 and Automation",
  address =     "Stuttgart",
  year =        "1995",
  pages =       "285--292",
  }
@article{LChampaney_JYCognard_DDureisseix_PLadeveze_1996a,
  author =      "L. Champaney and J.-Y. Cognard and D. Dureisseix and P.
                 Ladeveze",
  title =       "Numerical experimentations of parallel strategies in
                 structural non-linear analysis",
  journal =     "Calculateurs Parall{\`e}les",
  volume =      "8",
  year =        "1996",
  pages =       "245--249",
  }
@article{LChampaney_JYCognard_DDureisseix_PLadeveze_1997a,
  author =      "L. Champaney and J.-Y. Cognard and D. Dureisseix and P.
                 Ladeveze",
  title =       "Large scale applications on parallel computers of a
                 mixed domain decomposition method",
  journal =     "Computational Mechanics",
  volume =      "19",
  year =        "1997",
  pages =       "253--263",
  }
@article{TFChan_1987a,
  author =      "T. F. Chan",
  title =       "Analysis of preconditioners for domain decomposition",
  journal =     "SIAM J. Numer. Anal.",
  volume =      "24",
  year =        "1987",
  pages =       "382--390",
  }
@incollection{TFChan_1989a,
  author =      "T. F. Chan",
  title =       "Boundary probe domain decomposition preconditioners for 
                 fourth order problems",
  booktitle =   "Domain Decomposition Methods",
  editor =      "T. F. Chan and R. Glowinski and J. P{\'e}riaux and 
                 O. B. Widlund",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1989",
  pages =       "160--167",
  }
@inproceedings{TFChan_1989b,
  author =      "T. F. Chan",
  title =       "Analysis of a parallel multigrid algorithm",
  booktitle =   "Preliminary Proc. of the 4th Copper Mountain Conference on
                 Multigrid Methods",
  volume =      "1",
  editor =      "J. Mandel and S. F. McCormick",
  publisher =   "Computational Mathematics Group, Univ. of Colorado",
  address =     "Denver",
  year =        "1989",
  pages =       "165--180",
  }
@incollection{TFChan_1989c,
  author =      "T. F. Chan",
  title =       "Domain decomposition algorithms and computational fluid
                 dynamics",
  booktitle =   "Vector and Parallel Computing:  issues in applied research
                 and development",
  editors =     "J. J. Dongarra and I. S. Duff and P. Gaffney and S. McKee",
  publisher =   "Ellis Horwood Ltd. (John Wiley \& Sons)",
  address =     "Chichester",
  year =        "1989",
  pages =       "65--82",
  }
@inproceedings{TFChan_1990a,
  author =      "T. F. Chan",  
  title =       "Hierarchical algorithms and architectures for parallel
                 scientific computing",  
  booktitle =   "Proceedings of the ACM International Conference on
                 Supercomputing, Amsterdam, The Netherlands",  
  publisher =   "ACM",
  address =     "New York",
  year =        "1990",  
  pages =       "318--329",  
}
@article{TFChan_1991a,
  author =      "T. F. Chan",  
  title =       "Fourier analysis of relaxed incomplete factorization
                 preconditioners",  
  journal =     "SIAM J. Sci. Stat. Comp.",  
  volume =      "12",  
  year =        "1991",  
  pages =       "668--680",  
}
@article{TFChan_EGallopoulos_VSimoncini_TSzeto_CTong_1993a,
  author =      "T. F. Chan and E. Gallopoulos and V. Simoncini and T. Szeto
                 and C. Tong",
  title =       "{QMRCGSTAB}: A quasi-minimal residual variant of the
                 {Bi-CGSTAB} algorithm for nonsymmetric systems",
  journal =     "SIAM J. Sci. Comput.",
  volume =      "15",
  year =        "1993",
  pages =       "338--347",
  }
@book{TFChan_RGlowinski_JPeriaux_OBWidlund_1989a,
  author =      "T. F. Chan and R. Glowinski and
                 J. P{\'e}riaux and  O. B. Widlund",
  title =       "Domain Decomposition Methods",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1989",
  }
@book{TFChan_RGlowinski_JPeriaux_OBWidlund_1990a,
  author =      "T. F. Chan and R. Glowinski and J. P{\'e}riaux and
                 O. B. Widlund",
  title =       "Third International Symposium on Domain Decomposition 
                 Methods for Partial Differential Equations",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1990",
  }
@incollection{TFChan_SGo_JZou_1997a,
  author =      "T. F. Chan and S. Go and J. Zou",
  title =       "Multilevel domain decomposition and multigrid methods for
                 unstructured meshes: algorithms and theory",
  booktitle =   "Domain Decomposition Methods in Sciences and Engineering",
  editors =     "R. Glowinski and J. P{\'e}riaux and Z.--C. Shi and O. Widlund",
  series =      "8th International Conference, Beijing, P. R. China",
  volume =      "",
  publisher =   "John Wiley \& Sons",
  address =     "Chichester, New York, Weinheim, Brisbane, Singapore, Toronto",
  year =        "1997",
  pages =       "159--176",
  }
@article{TFChan_DGoovaerts_1990a,
  author =      "T. F. Chan and D. Goovaerts",  
  title =       "A note on the efficiency of domain decomposed incomplete
                 factorizations",  
  journal =     "SIAM J. Sci. Stat. Comp.",  
  volume =      "11",  
  year =        "1990",  
  pages =       "794--803",  
}
@article{TFChan_DGoovaerts_1992a,
  author =      "T. F. Chan and D. Goovaerts",  
  title =       "On the relationship between overlapping and nonoverlapping
                 domain decomposition methods",
  journal =     "SIAM J. Matrix Anal. Appl.",
  volume =      "13",
  year =        "1992",
  pages =       "663--670",
  }
@article{TFChan_THou_PLLions_1991a,
  author =      "T. F. Chan and T. Hou and P. L. Lions",
  title =       "Geometry-independent convergence results for domain
                 decomposition algorithms",
  journal =     "SIAM J. Numer. Anal.",
  volume =      "28",
  year =        "1991",
  pages =       "378--391",
  }
@article{TFChan_KRJackson_1986a,
  author =      "T. F. Chan and K. R. Jackson",
  title =       "The use of iterative linear equation solvers in codes for
                 systems of stiff {IVP}s for {ODE}s",
  journal =     "SIAM J. Sci. Stat. Comput.",
  volume =      "7",
  year =        "1986",
  pages =       "378--417",
  }
@article{TFChan_HBKeller_1982a,
  author =      "T. F. Chan and H. B. Keller",
  title =       "Arc--length continuation and multi--grid techniques 
                 for nonlinear elliptic eigenvalue problems",
  journal =     "SIAM J. Sci. Stat. Comput.",
  volume =      "3",
  year =        "1982",
  pages =       "173--194",
  }
@inproceedings{TFChan_DEKeyes_1990a,
  author =      "T. F. Chan and D. E. Keyes",
  title =       "Interface preconditionings for domain--decomposed 
                 convection--diffusion operators",
  booktitle =   "Third International Symposium on Domain Decomposition 
                 Methods for Partial Differential Equations",
  editor =      "T. F. Chan and R. Glowinski and J. P{\'e}riaux and
                 O. B. Widlund",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1990",
  pages =       "245--262",
  }
@article{TFChan_CCJKuo_CTong_1989a, 
  author =      "T. F. Chan and C. C. J. Kuo and C. Tong", 
  title =       "Parallel elliptic preconditioners: {F}ourier analysis and 
                 performance on the {C}onnection {M}achine", 
  journal =     "Comput. Phys. Commun.", 
  volume =      "53", 
  year =        "1989",
  pages =       "237--252", 
  }
@inproceedings{TFChan_TPMathew_1991a,
  author =      "T. F. Chan and T. P. Mathew",
  title =       "An application of the probing technique to the vertex space 
                 method in domain decomposition",
  booktitle =   "Fourth International Symposium on Domain Decomposition 
                 Methods for Partial Differential Equations",
  editor =      "R. Glowinski and Yu. A. Kuznetsov and G. A. Meurant and 
                 J. P{\'e}riaux and O. B. Widlund",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1991",
  pages =       "101--111",
  }
@article{TFChan_TPMathew_1992a,
  author =      "T. F. Chan and T. P. Mathew",
  title =       "The interface probing technique in domain decomposition",  
  journal =     "SIAM J. Matrix Anal. Applic.",  
  volume =      "13",  
  year =        "1992",  
  pages =       "212--238",  
  }
@inbook{TFChan_TPMathew_1994a,
  author =      "T. F. Chan and T. P. Mathew",
  title =       "Domain Decomposition Algorithms",
  series =      "Acta Numerica",
  volume =      "3",
  publisher =   "Cambridge University Press",
  address =     "Cambridge",
  year =        "1994",
  pages =       "61--143",
  }
@inproceedings{TFChan_TPMathew_1994b,
  author =      "T. F. Chan and T. P. Mathew",
  title =       "Domain decomposition preconditioners for convection
                 diffusion problems",
  booktitle =   "Domain Decomposition Methods in Science and Engineering:
                 The Sixth International Conference on Domain Decomposition",
  editors =     "A. Quarteroni and J. P{\'e}riaux and Yu. A. Kuznetsov and
                 O. B. Widlund",
  series =      "Contemporary Mathematics",
  volume =      "157",
  publisher =   "American Mathematical Society",
  address =     "Providence, Rhode Island",
  year =        "1994",
  pages =       "157--175",
  }
@inproceedings{TFChan_TPMathew_JPShao_1992a,
  author =      "T. F. Chan and T. P. Mathew and J.--P. Shao",
  title =       "Fourier and probe variants of the vertex space domain
                 decomposition algorithm",
  booktitle =   "Fifth International Symposium on Domain Decomposition 
                 Methods for Partial Differential Equations",
  editor =      "D. E. Keyes and T. F. Chan and G. A. Meurant and J. S. Scroggs 
                 and R. G. Voigt",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1992",
  pages =       "236--249",
  }
@inproceedings{TFChan_DCResasco_1986a,
  author =      "T. F. Chan and D. C. Resasco",
  title =       "Hypercube implementation of domain decomposed fast {P}oisson 
                 solvers",
  booktitle =   "Proceedings of the Second Conference on Hypercube 
                 Multiprocessors",
  editor =      "M. Heath",
  publisher =   "SIAM Books",
  address =     "Philadelphia",
  year =        "1987",
  pages =       "",
  }
@inproceedings{TFChan_DCResasco_1987a,
  author =      "T. F. Chan and D. C. Resasco",
  title =       "Analysis of domain decomposition preconditioners on irregular 
                 regions",
  booktitle =   "Proceedings of the Sixth IMACS Int'l Symp. on Computer 
                 Methods for Partial Differential Equations",
  editor =      "R. Vichnevetski and R. Stepleman",
  publisher =   "IMACS",
  address =     "New York",
  year =        "1987",
  pages =       "",
  }
@article{TFChan_DCResasco_1987b,
  author =      "T. F. Chan and D. C. Resasco",
  title =       "A domain--decomposed fast {P}oisson solver on a rectangle",
  journal =     "SIAM J. Sci. Stat. Comput.",
  volume =      "8",
  year =        "1987",
  pages =       "14--26",
  }
@inproceedings{TFChan_DCResasco_1988a,
  author =      "T. F. Chan and D. C. Resasco",
  title =       "A framework for the analysis and construction of domain 
                 decomposition preconditioners",
  booktitle =   "First International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations",
  editor =      "R. Glowinski and G. H. Golub and G. A. Meurant and
                 J. P{\'e}riaux",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1988",
  pages =       "217--230",
  }
@article{TFChan_YSaad_1986a,
  author =      "T. F. Chan and Y. Saad",
  title =       "Multigrid algorithms on the hypercube multiprocessor",
  journal =     "IEEE Trans. Comput.",
  volume =      "C--35",
  year =        "1986",
  pages =       "969--977",
  }
@article{TFChan_RSchreiber_1985a,
  author =      "T. F. Chan and R. Schreiber",
  title =       "Parallel networks for multi--grid algorithms:  architecture 
                 and complexity",
  journal =     "SIAM J. Sci. Stat. Comput.",
  volume =      "6",
  year =        "1985",
  pages =       "698--711",
  }
@article{TFChan_JPShao_1995a,
  author =      "T. F. Chan and J. P. Shao",
  title =       "Parallel complexity of domain decomposition methods and
                 optimal coarse grid size",
  journal =     "Parallel Comput.",
  volume =      "21",
  year =        "1995",
  pages =       "1033--1049",
  }
@inproceedings{TFChan_ISharapov_1997a,
  author =      "T. F. Chan and I. Sharapov",
  title =       "Subspace correction multilevel methods for elliptic
                 eigenvalue problems",
  booktitle =   "Ninth International Conference on Domain Decomposition
                 Methods",
  editors =     "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
  publisher =   "DDM.org",
  address =     "Bergen",
  year =        "1997",
  pages =       "311--317",
  }
@inproceedings{TFChan_BFSmith_1994a,
  author =      "T. F. Chan and B. F. Smith",
  title =       "Domain decomposition and multigrid algorithms for elliptic
                 problems on unstructured meshes",
  booktitle =   "Domain Decomposition Methods in Scientific and Engineering
                 Computing:  Proceedings of the Seventh International
                 Conference on Domain Decomposition",
  editors =     "D. E. Keyes and J. Xu",
  series =      "Contemporary Mathematics",
  volume =      "180",
  publisher =   "American Mathematical Society",
  address =     "Providence, Rhode Island",
  year =        "1994",
  pages =       "175--189",
  }
@article{TFChan_BFSmith_1994b,
  author =      "T. F. Chan and B. F. Smith",
  title =       "Domain decomposition and multigrid algorithms for elliptic
                 problems on unstructured meshes",
  journal =     "Elect. Trans. Numer. Anal.",
  volume =      "2",
  year =        "1994",
  pages =       "171--182",
  }
@article{TFChan_WPTang_WLWan_1997a,
  author =      "T. F. Chan and W. P. Tang and W. L. Wan",
  title =       "Wavelet sparse approximate inverse preconditioners",
  journal =     "BIT",
  volume =      "37",
  year =        "1997",
  pages =       "644--660",
  }
@inproceedings{TFChan_RSTuminaro_1987a,
  author =      "T. F. Chan and R. S. Tuminaro",
  title =       "A survey of parallel multigrid algorithms",
  booktitle =   "Proceedings of the Symposium on Parallel Computations and 
                 their Impact on Mechanics",
  editor =      "",
  publisher =   "ASME",
  address =     "New York",
  year =        "1987",
  pages =       "",
  }
@inproceedings{TFChan_RSTuminaro_1987b,
  author =      "T. F. Chan and R. S. Tuminaro",
  title =       "Design and implementation of parallel multigrid algorithms",
  booktitle =   "Proceedings of the Third Copper Mountain Conference on
                 Multigrid Methods",
  editor =      "S. F. McCormick",
  publisher =   "Marcel Dekker",
  address =     "New York",
  year =        "1987",
  pages =       "101--115",
  }
@inproceedings{TFChan_RSTuminaro_1987c,
  author =      "T. F. Chan and R. S. Tuminaro",
  title =       "Multigrid algorithms on hypercube processors",
  booktitle =   "Proceedings of the Second Conference on
                 Hypercube Multiprocessors",
  editor =      "M. Heath",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1987",
  pages =       "730--737",
  }
@inproceedings{TFChan_RSTuminaro_1989a,
  author =      "T. F. Chan and R. S. Tuminaro",
  title =       "Analysis of a parallel multigrid algorithm",
  booktitle =   "Proceedings of the Fourth Copper Mountain Conference on 
                 Multigrid Methods",
  editor =      "J. Mandel and S. F. McCormick and J. E. Dendy and C. Farhat
                 and G. Lonsdale and S. V. Parter and J. W. Ruge and 
                 K. St{\"u}ben",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1989",
  pages =       "66--86",
  }
@inproceedings{TFChan_PVanek_2000a,
  author =      "T. F. Chan and P. Vanek",
  title =       "Detection of strong coupling in algebraic multigrid solvers",
  booktitle =   "Multigrid Methods VI",
  editors =     "E. Dick and K. Riemslagh and J. Vierendeels",
  series =      "Lecture Notes in Computational Science and Engineering",
  volume =      "14",
  publisher =   "Springer--Verlag",
  address =     "Berlin",
  year =        "2000",
  pages =       "11--23",
  }
@incollection{DChang_1997a,
  author =      "D. Chang",
  title =       "On convergence of the parallel {S}chwarz algorithm with
                 pseudo--boundary and the parallel multisplitting
                 interactive method",
  booktitle =   "Domain Decomposition Methods in Sciences and Engineering",
  editors =     "R. Glowinski and J. P{\'e}riaux and Z.--C. Shi and O. Widlund",
  series =      "8th International Conference, Beijing, P. R. China",
  volume =      "",
  publisher =   "John Wiley \& Sons",
  address =     "Chichester, New York, Weinheim, Brisbane, Singapore, Toronto",
  year =        "1997",
  pages =       "251--258",
  }
@book{KWChang_FAHowes_1984a,
  author =      "K. W. Chang and F. A. Howes",
  title =       "Nonlinear Singular Perturbation Phenomena: Theory and 
                 Applications",
  publisher =   "Springer--Verlag",
  address =     "New York",
  year =        "1984",
  }
@article{LChang_TFVonry_CCusano_1989a,
  author =      "L. Chang and T. F. Vonry and C. Cusano",
  title =       "An efficient, robust, multi--level computational algorithm
                 for elastohydrodynamic lubrication",
  journal =     "J. Tribol.",
  volume =      "111",
  year =        "1989",
  pages =       "193--199",
  }
@article{QChang_1988a,
  author =      "Q.--S. Chang",
  title =       "Using a predictor-corrector scheme to computer
                 {N}avier--{S}tokes equations in three-dimensional spherical
                 coordinates",
  journal =     "J. Comput. Math.",
  volume =      "6",
  year =        "1988",
  pages =       "307--317",
  }
@inproceedings{ICharpentier_FDeVuyst_YMaday_1997a,
  author =      "I. Charpentier and F. De Vuyst and Y. Maday",
  title =       "The overlapping component mode synthesis method:  the
                 shifted eigenmodes strategy and the case of selfadjoint
                 operators with discontinuous coefficients",
  booktitle =   "Ninth International Conference on Domain Decomposition
                 Methods",
  editors =     "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
  publisher =   "DDM.org",
  address =     "Bergen",
  year =        "1997",
  pages =       "583--596",
  }
@incollection{PCharrier_JRoman_PVezolle_1995a,
  author =      "P. Charrier and J. Roman and P. Vezolle",
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@article{HCChen_AHSameh_1989a,
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                 K. St{\"u}ben",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1989",
  pages =       "117--129",
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  author =      "E. Dick",
  title =       "A multigrid method for steady {E}uler equations based on
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  booktitle =   "Proceedings of the 11th International Conference on 
                 Numerical Methods in Fluid Dynamics",
  editor =      "D. L. Dwoyer and M. Y. Jussaini and R. G. Voigt",
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  volume =      "323",
  publisher =   "Springer--Verlag",
  address =     "New York",
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@article{EDick_1989c,
  author =      "E. Dick",
  title =       "A multigrid method for steady incompressible {N}avier--
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  year =        "1989",
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  author =      "E. Dick",
  title =       "A multigrid flux--difference splitting method for steady
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  booktitle =   "Preliminary Proc. of the 4th Copper Mountain Conference on
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  volume =      "2",
  editor =      "J. Mandel and S. F. McCormick",
  publisher =   "Computational Mathematics Group, Univ. of Colorado",
  address =     "Denver",
  year =        "1989",
  pages =       "1--13",
  }
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  author =      "E. Dick",
  title =       "A multigrid method for the steady {E}uler equations, based
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  booktitle =   "Robust Multi--Grid Methods",
  editor =      "W. Hackbusch",
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  address =     "Braunschweig",
  year =        "1989",
  pages =       "69--85",
  }
@article{EDick_1990a,
  author =      "E. Dick",
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  volume =      "91",
  year =        "1990",
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  }
@article{EDick_1991a,
  author =      "E. Dick",
  title =       "Second order formulation of a multigrid method for steady
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  volume =      "35",
  year =        "1991",
  pages =       "159--168"
  }
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  author =      "E. Dick",
  title =       "Multigrid solution of steady {E}uler equations based on
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  journal =     "Int. J. Numer. Meth. Heat Fluid Flow",
  volume =      "1",
  year =        "1991",
  pages =       "51--62",
  }
@article{EDick_JLinden_1992a,
  author =      "E. Dick and J. Linden",
  title =       "A multigrid method for steady incompressible {N}avier
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  journal =     "Int. J. Numer. Meth. Fluids",
  volume =      "14",
  year =        "1992",
  pages =       "1311--1323"
  }
@article{EDick_KRiemslagh_1994a,
  author =      "E. Dick and K. Riemslagh",
  title =       "Multi staging of {J}acobi relaxation to improve smoothing
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  volume =      "50",
  year =        "1994",
  pages =       "241--254",
  }
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  author =      "E. Dick and K. Riemslagh",
  title =       "Multigrid methods for steady {E}uler equations based on
                 multi--stage {J}acobi relaxation",
  booktitle =   "Multigrid Methods IV, Proceedings of the Fourth European
                 Multigrid Conference, Amsterdam, July 6-9, 1993",
  editors =     "P. W. Hemker and P. Wesseling",
  series =      "ISNM",
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  publisher =   "Birkh{\"a}user",
  address =     "Basel",
  year =        "1994",
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  }
@book{EDick_KRiemslagh_JVierendeels_2000a,
  author =      "E. Dick and K. Riemslagh and J. Vierendeels",
  title =       "Multigrid Methods VI",
  series =      "Lecture Notes in Computational Science and Engineering",
  volume =      "14",
  publisher =   "Springer--Verlag",
  address =     "Berlin",
  year =        "2000",
  }
@inproceedings{ADickinson_PBurton_JParker_RBaxter_1995a,
  author =      "A. Dickinson and P. Burton and J. Parker and R. Baxter",
  title =       "Implementation and initial results from a parallel version of
                 the meteorological office atmosphere prediction model",
  booktitle =   "Proceedings of the Sixth ECMWF Workshop on the Use of Parallel
                 Processors in Meteorology, Reading, UK, Nov. 21-25, 1994",
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  year =        "1995",
  pages =       "177--194",
  }
@article{LDieci_GBader_1994a,
  author =      "L. Dieci and G. Bader",
  title =       "Solution of the systems associated with invariant tori
                 approximation.  {II}.  {M}ultigrid methods",
  journal =     "SIAM J. Sci. Comput.",
  volume =      "15",
  year =        "1994",
  pages =       "1375--1400",
  }
@inproceedings{WEDietz_JLJacocks_JHFox_1990a,
  author =      "W. E. Dietz and J. L. Jacocks and J. H. Fox",
  title =       "Application of domain decomposition to the analysis of 
                 complex aerodynamic configurations",
  booktitle =   "Third International Symposium on Domain Decomposition 
                 Methods for Partial Differential Equations",
  editor =      "T. F. Chan and R. Glowinski and J. P{\'e}riaux and
                 O. B. Widlund",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1990",
  pages =       "428--450",
  }
@phdthesis{NDinar_1979a,
  author =      "N. Dinar",
  title =       "Fast Methods for the Numerical Solution of Boundary Value
                 Problems",
  school =      "Weizmann Institute of Science",
  address =     "Rehovot, Isreal",
  year =        "1979"
  }
@phdthesis{QVDinh_1982a,
  author =      "Q. V. Dinh",
  title =       "Simulation num{\'e}rique en {\'e}l{\'e}ments finis 
                 d'{\'e}coulements de fluides visqueux incompressibles par 
                 une m{\'e}thode de d{\'e}composition de domaines sur 
                 processeurs vectoriels",
  school =      "Univ. P. et M. Curie, Paris",
  year =        "1982",
  }
@inproceedings{QVDinh_TFanion_1997a,
  author =      "Q. V. Dinh and T. Fanion",
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                 problems in computational fluid dynamics and computational
                 electro-magnetics",
  booktitle =   "Ninth International Conference on Domain Decomposition
                 Methods",
  editors =     "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
  publisher =   "DDM.org",
  address =     "Bergen",
  year =        "1997",
  pages =       "708--718",
  }
@incollection{QVDinh_AFischler_RGlowinski_JPeriaux_1985a,
  author =      "Q. V. Dinh and A. Fischler and R. Glowinski and 
                 J. P{\'e}riaux",
  title =       "Domain decomposition methods for the {S}tokes problem.  
                 {A}pplication to the {N}avier--{S}tokes equations",
  booktitle =   "Numera",
  volume =      "85",
  address =     "Swansea",
  year =        "1985",
  }
@inproceedings{QVDinh_RGlowinski_JHe_VKwock_TWPan_JPeriaux_1992a,
  author =      "Q. V. Dinh and R. Glowinski and J. He and V. Kwock and
                 T. W. Pan and J. P{\'e}riaux",
  title =       "Lagrange multiplier approach to fictitious domain methods:
                 application to fluid dynamics and electro--magnetics",
  booktitle =   "Fifth International Symposium on Domain Decomposition 
                 Methods for Partial Differential Equations",
  editor =      "D. E. Keyes and T. F. Chan and G. A. Meurant and J. S. Scroggs 
                 and R. G. Voigt",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1992",
  pages =       "151--194",
  }
@inproceedings{QVDinh_RGlowinski_BMantel_JPeriaux_PPerrier_1981a,
  author =      "Q. V. Dinh and R. Glowinski and B. Mantel and J. P{\'e}riaux
                 and P. Perrier",
  title =       "Subdomain solutions of nonlinear problems in fluid dynamics 
                 on parallel processors",
  booktitle =   "5th International Symposium on Computational Methods in 
                 Applied Sciences and Engineering, Versailles",
  editor =      "",
  publisher =   "North--Holland",
  address =     "Amsterdam",
  year =        "1981",
  pages =      "",
  }
@article{QVDinh_RGlowinski_JPeriaux_1980a,
  author =      "Q. V. Dinh and R. Glowinski and J. P{\'e}riaux",
  title =       "Application of domain decomposition technique to the 
                 numerical solution of the {N}avier--{S}tokes equations",
  journal =     "Numer. Meth. for Engng.",
  volume =      "1",
  year =        "1980",
  pages =       "383--404",
  }
@incollection{QVDinh_RGlowinski_JPeriaux_1982a,
  author =      "Q. V. Dinh and R. Glowinski and J. P{\'e}riaux",
  title =       "Solving problems by decomposition methods with applications",
  booktitle =   "Elliptic Problem Solvers II",
  editor =      "G. Birkhoff and A. Schoenstadt",
  publisher =   "Academic Press",
  address =     "New York",
  year =        "1982",
  pages =       "395--426",
  }
@article{QVDinh_RGlowinski_JPeriaux_1983a,
  author =      "Q. V. Dinh and R. Glowinski and J. P{\'e}riaux",
  title =       "Domain decomposition methods for nonlinear problems in fluid 
                 dynamics",
  journal =     "Comp. Meth. Appl. Mech. Engng.",
  volume =      "40",
  year =        "1983",
  pages =       "27--109",
  }
@incollection{QVDinh_RGlowinski_JPeriaux_1984a,
  author =      "Q. V. Dinh and R. Glowinski and J. P{\'e}riaux",
  title =       "Solving elliptic problems by domain decomposition methods
                 with applications",
  booktitle =   "Elliptic Problem Solvers II",
  editor =      "G. Birkhoff and A. Schoenstadt",
  publisher =   "Academic Press",
  year =        "1984",
  pages =       "",
  }
@inproceedings{QVDinh_RGlowinski_JPeriaux_GTerrasson_1988a,
  author =      "Q. V. Dinh and R. Glowinski and J. P{\'e}riaux and 
                 G. Terrasson",
  title =       "On the coupling of viscous and inviscid models for 
                 incompressible fluid flows via domain decomposition",
  booktitle =   "First International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations",
  editor =      "R. Glowinski and G. H. Golub and G. A. Meurant and
                 J. P{\'e}riaux",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1988",
  pages =       "350--369",
  }
@incollection{QVDinh_JPeriaux_GTerrasson_RGlowinski_1986a,
  author =      "Q. V. Dinh and J. P{\'e}riaux and G. Terrasson and 
                 R. Glowinski",
  title =       "On the coupling of incompressible viscous flows and 
                 incompressible potential flows via domain decomposition",
  booktitle =   "International Conference on Numerical Methods for Fluid
                 Dynamics",
  address =     "Beijing",
  year =        "1986",
  pages =      "",
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@article{BDiskin_1997a,
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  booktitle =   "Preliminary Proc. of the 4th Copper Mountain Conference on
                 Multigrid Methods",
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  editor =      "J. Mandel and S. F. McCormick",
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  year =        "1989",
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                 K. St{\"u}ben",
  publisher =   "SIAM",
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  year =        "1989",
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  booktitle =   "Ninth International Conference on Domain Decomposition
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  editors =     "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
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  year =        "1997",
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  year =        "1981",
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@article{IStDoltsinis_SNolting_1991a,
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  title =       "Iterative methods for scalar and coupled systems 
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  school =      "Department of Mathematics, UCLA",
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  year =        "1991",  
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  author =      "T. F. Doniere and A. P. Dhawan",
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                 tomography",
  booktitle =   "Proceedings of the 16th Annual International Conference of the
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  publisher =   "IEEE",
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  year =        "1994",
  pages =       "630--631",
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@phdthesis{MDonovang_1981a,
  author =      "M. Donovang",
  title =       "Defektkorrekturen nach {S}tetter und {P}ereyra und 
                 {MG}--{E}xtrapolation nach {B}randt:  {B}eziehungen und 
                 {A}nwendung auf elliptische {R}andwertaufgaben",
  school =      "Institut f{\"u}r Angewandte Mathematik, Universit{\"a}t Bonn",
  year =        "1981",
  }
@inproceedings{JHDorfer_1989d,
  author =      "J. H. D{\"o}rfer",
  title =       "Treatment of singular perturbation problems with multigrid
                 methods",
  booktitle =   "Robust Multi--Grid Methods",
  editor =      "W. Hackbusch",
  series =      "Notes on Numerical Fluid Mechanics",
  volume =      "23",
  publisher =   "Vieweg",
  address =     "Braunschweig",
  year =        "1989",
  pages =       "86--95",
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@article{WDorfler_1995a,
  author =      "W. D{\"o}rfler",
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  journal =     "Computing",
  volume =      "55",
  year =        "1995",
  pages =       "289--304",
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@inproceedings{MDormanns_HUHeiss_1995a,
  author =      "M. Dormanns and H. U. Heiss",
  title =       "Partitioning and mapping of large {FEM} graphs by 
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  booktitle =   "Proceedings Euromicro Workshop on Parallel and 
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  publisher =   "IEEE Comput. Soc. Press",
  address =     "Los Alamitos, CA",
  year =        "1995", 
  pages =       "227--235",
  }
@article{TDornseifer_CPflaum_1996a,
  author =      "Th. Dornseifer and C. Pflaum",
  title =       "Discretization of elliptic differential equations on
                 curvilinear bounded domains with sparse grids",
  journal =     "Computing",
  volume =      "56",
  year =        "1996",
  pages =       "197--213",
  }
@article{MRDorr_1984a,
  author =      "M. R. Dorr",
  title =       "The approximation theory for the p--version of the finite
                 element method",
  journal =     "SIAM J. Numer. Anal.",
  volume =      "21",
  year =        "1984",
  pages =       "1180--1207",
  }
@article{MRDorr_1986a,
  author =      "M. R. Dorr",
  title =       "The approximation of solutions of elliptic boundary--value
                 problems via the p--version of the finite element method",
  journal =     "SIAM J. Numer. Anal.",
  volume =      "23",
  year =        "1986",
  pages =       "58--77",
  }
@incollection{MRDorr_1989a,
  author =      "M. R. Dorr",
  title =       "On the discretization of interdomain coupling in 
                 elliptic boundary--value problems",
  booktitle =   "Domain Decomposition Methods",
  editor =      "T. F. Chan and R. Glowinski and J. P{\'e}riaux and
                 O. B. Widlund",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1989",
  pages =       "17--37",
  }
@inproceedings{SEDorward_LRMatheson_RETarjan_1994a,
  author =      "S. E. Dorward and L. R. Matheson and R. E. Tarjan",
  title =       "Unstructured multigrid strategies on massively parallel 
                 computers: a case for integrated design",
  booktitle =   "Proceedings of the Twenty Seventh Hawaii International
                 Conference on System Sciences. Vol.II: Software Technology",
  volume =      "",
  editor =      "",
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  address =     "",
  year =        "1994",
  pages =       "169--178",
  }
@article{ZDostal_1990a,
  author =      "Z. Dost{\`a}l",
  title =       "Projector preconditioning and domain decomposition methods",
  journal =     "Appl. Math. Comput.",
  volume =      "37",
  year =        "1990",
  pages =       "75--81",
  }
@inproceedings{ZDostal_1992a,
  author =      "Z. Dost{\`a}l",
  title =       "Domain decomposition and {PDE} with periodic boundary 
                 conditions",
  booktitle =   "Fifth International Symposium on Domain Decomposition 
                 Methods for Partial Differential Equations",
  editor =      "D. E. Keyes and T. F. Chan and G. A. Meurant and J. S. Scroggs 
                 and R. G. Voigt",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1992",
  pages =       "258--261",
  }
@inproceedings{ZDostal_1994a,
  author =      "Z. Dost{\'a}l",
  title =       "The {S}chur complement algorithm for the solution of contact 
                 problems",
  booktitle =   "Domain Decomposition Methods in Science and Engineering:
                 The Sixth International Conference on Domain Decomposition",
  editors =     "A. Quarteroni and J. P{\'e}riaux and Yu. A. Kuznetsov and
                 O. B. Widlund",
  series =      "Contemporary Mathematics",
  volume =      "157",
  publisher =   "American Mathematical Society",
  address =     "Providence, Rhode Island",
  year =        "1994",
  pages =       "441--446",
  }
@phdthesis{CCDouglas_1982a,
  author =      "C. C. Douglas",
  title =       "Multi--grid algorithms for elliptic boundary--value problems",
  school =      "Yale University",
  month =       "May",
  year =        "1982",
  }
@article{CCDouglas_1984a,
  author =      "C. C. Douglas",
  title =       "Multi--grid algorithms with applications to elliptic
                 boundary--value problems",
  journal =     "SIAM J. Numer. Anal.",
  volume =      "21",
  year =        "1984",
  pages =       "236--254"
  }
@inproceedings{CCDouglas_1984b,
  author =      "C. C. Douglas",
  title =       "A multigrid optimal order solver for elliptic boundary value
                 problems: the finite difference case",
  booktitle =   "Advances in Computer Methods for Partial Differential
                 Equations -- V",
  publisher =   "IMACS",
  editor =      "R. Vichnevetsky and R. S. Stepleman",
  address =     "New Brunswick, NJ",
  year =        "1984",
  pages =       "369--374"
  }
@incollection{CCDouglas_1984c,
  author =      "C. C. Douglas",
  title =       "Abstract multi--grid with applications to elliptic
                 boundary--value problems",
  booktitle =   "Elliptic Problem Solvers {II}",
  editor =      "G. Birkhoff and A. Schoenstadt",
  publisher =   "Academic Press",
  address =     "New York",
  year =        "1984",
  pages =       "453--466"
  }
@misc{CCDouglas_1985a,
  author =      "C. C. Douglas",
  title =       "A multilevel solver for boundary value problems",
  howpublished ="appeared in a special joint issue on numerical simulation
                 of VLSI devices of {\em IEEE Trans. on Electrons},
                 32 (1985), pp.~1987--1991, and {\em IEEE Trans. on
                 Comp. Aided Design}, 4 (1985), pp.~431--435"
  }
@inproceedings{CCDouglas_1989a,
  author =      "C. C. Douglas",
  title =       "The domain reduction method in three dimensions",
  booktitle =   "Preliminary Proc. of the 4th Copper Mountain Conference on
                 Multigrid Methods",
  volume =      "2",
  editor =      "J. Mandel and S. F. McCormick",
  publisher =   "Computational Mathematics Group, Univ. of Colorado",
  address =     "Denver",
  year =        "1989",
  pages =       "31--35",
  }
@incollection{CCDouglas_1990b,
  author =      "C. C. Douglas",
  title =       "A variation of the {S}chwarz alternating method:
                 the domain decomposition reduction method",
  editor =      "T. F. Chan and R. Glowinski and J. P{\'e}riaux and
                 O. B. Widlund",
  booktitle=    "Third International Symposium on Domain Decomposition 
                 Methods for Partial Differential Equations",
  publisher=    "SIAM",
  address =     "Philadelphia",
  year =        "1990",
  pages =       "191--201"
  }
@article{CCDouglas_1991a,
  author =      "C. C. Douglas",
  title =       "A tupleware approach to domain decomposition methods",
  journal =     "Appl. Numer. Math.",
  volume =      "8",
  year =        "1991",
  pages =       "353--373"
  }
@inproceedings{CCDouglas_1992a,
  author =      "C. C. Douglas",
  title =       "The effect of interpolation on the rate of convergence in
                 two level algorithms for elliptic partial differential
                 equations",
  editor =      "T. Manteuffel",
  booktitle =   "Preliminary version of the Proceedings of the Copper
                 Mountain Conference on Iterative Methods",
  address =     "Computational Mathematics Group, University of Colorado at
                 Denver, Denver, Colorado",
  year =        "1992"
  }
@article{CCDouglas_1992b,
  author =      "C. C. Douglas",
  title =       "Parallel multilevel and multigrid methods",
  journal =     "SIAM News",
  volume =      "25",
  year =        "1992",
  pages =       "14--15"
  }
@article{CCDouglas_1992c,
  author =      "C. C. Douglas",
  title =       "{MGNet}: a multigrid and domain decomposition network",
  journal =     "ACM SIGNUM Newsletter",
  volume =      "27",
  year =        "1992",
  pages =       "2--8"
  }
@inproceedings{CCDouglas_1993a,
  author =      "C. C. Douglas",
  title =       "Implementing abstract multigrid or multilevel methods",
  booktitle =   "Sixth Copper Mountain Conference on Multigrid Methods",
  volume =      "CP 3224",
  editor =      "N. D. Melson and T. A. Manteuffel and S. F. McCormick",
  publisher =   "NASA",
  address =     "Hampton, VA",
  year =        "1993",
  pages =       "127--141",
  }
@article{CCDouglas_1994a,
  author =      "C. C. Douglas",
  title =       "Some remarks on completely vectorizing point {G}auss--{S}eidel
                 while using the natural ordering",
  journal =     "Advances Comput. Math.",
  volume =      "2",
  year =        "1994",
  pages =       "215--222",
  }
@inproceedings{CCDouglas_1994b,
  author =      "C. C. Douglas",
  title =       "A generalized multigrid theory in the style of standard
                 iterative methods",
  booktitle =   "Multigrid Methods IV, Proceedings of the Fourth European
                 Multigrid Conference, Amsterdam, July 6-9, 1993",
  editors =     "P. W. Hemker and P. Wesseling",
  series =      "ISNM",
  volume =      "116",
  publisher =   "Birkh{\"a}user",
  address =     "Basel",
  year =        "1994",
  pages =       "19--34",
  }
@article{CCDouglas_1995a,
  author =      "C. C. Douglas",
  title =       "Madpack: A family of abstract multigrid or multilevel
                 solvers",
  journal =     "Comput. Appl. Math.",
  volume =      "14",
  year =        "1995",
  pages =       "3--20",
  }
@article{CCDouglas_1996a,
  author =      "C. C. Douglas",
  title =       "Caching in with multigrid algorithms: problems in two
                 dimensions",
  journal =     "Paral. Alg. Appl.",
  volume =      "9",
  year =        "1996",
  pages =       "195--204",
  }
@article{CCDouglas_1996b,
  author =      "C. C. Douglas",
  title =       "A sparse matrix approach to abstract multilevel solvers on
                 serial and parallel computers",
  journal =     "ZAMM",
  volume =      "76",
  year =        "1996",
  pages =       "139--142",
  }
@incollection{CCDouglas_1996c,
  author =      "C. C. Douglas",
  title =       "A review of numerous parallel multigrid methods",
  booktitle =   "Applications on Advanced Architecture Computers",
  editor =      "G. Astfalk",
  publisher=    "SIAM",
  address =     "Philadelphia",
  year =        "1996",
  pages =       "187--202",
  }
@article{CCDouglas_1997a,
  author =      "C. C. Douglas",
  title =       "Multigrid methods in science and engineering",
  journal =     "IEEE Comput. Sci. Eng.",
  volume =      "3",
  year =        "1997",
  pages =       "55--68",
  }
@inproceedings{CCDouglas_JDouglas_1991a,
  author =      "C. C. Douglas and J. Douglas",
  title =       "Towards a general convergence theory under few assumptions
                 for abstract multilevel algorithms",
  booktitle =   "Preliminary Proceedings of the Fifth Copper Mountain
                 Conference on Multigrid Methods",
  volume =      "1",
  editor =      "T. A. Manteuffel and S. F. McCormick",
  publisher =   "University of Colorado",
  address =     "Denver",
  year =        "1991",
  pages =       "197--218",
  }
@incollection{CCDouglas_JDouglas_1992a,
  author =      "C. C. Douglas and J. Douglas",
  title =       "A Greatly Simplified Theory for Parallel Multigrid or
                 Projection Methods",
  booktitle =   "Proceedings of the Fifth SIAM Conference on
                 Parallel Processing for Scientific Computing",
  editor =      "D. Sorensen and J. J. Dongarra and K. Kennedy and
                 P. Messina and R. Voigt",
  publisher=    "SIAM",
  address =     "Philadelphia",
  year =        "1992",
  pages =       "105--110"
  }
@article{CCDouglas_JDouglas_1993a,
  author =      "C. C. Douglas and J. Douglas",
  title =       "A unified convergence theory for abstract multigrid or
                 multilevel algorithms, serial and parallel",
  journal =     "SIAM J. Numer. Anal.",
  volume =      "30",
  year =        "1993",
  pages =       "136--158"
  }
@article{CCDouglas_JDouglas_DEFyfe_1994a,
  author =      "C. C. Douglas and J. Douglas and D. E. Fyfe",
  title =       "A multigrid unified theory for non-nested grids and/or
                 quadrature",
  journal =     "E. W. J. Numer. Math.",
  volume =      "2",
  year =        "1994",
  pages =       "285--294",
  }
@inproceedings{CCDouglas_JDouglas_DEFyfe_1996a,
  author =      "C. C. Douglas and J. Douglas and D. E. Fyfe",
  title =       "A note on multigrid theory for non-nested grids and/or
                 quadrature",
  booktitle =   "Seventh Copper Mountain Conference on Multigrid Methods",
  volume =      "CP 3339",
  editor =      "N. D. Melson and T. A. Manteuffel and S. F. McCormick and
                 C. C. Douglas",
  publisher =   "NASA",
  address =     "Hampton, VA",
  year =        "1996",
  pages =       "255--264",
  }
@inproceedings{CCDouglas_AErn_1993a,
  author =      "C. C. Douglas and A. Ern",
  title =       "Numerical solution of flame sheet problems with and without
                 multigrid methods",
  booktitle =   "Sixth Copper Mountain Conference on Multigrid Methods",
  volume =      "CP 3224",
  editor =      "N. D. Melson and T. A. Manteuffel and S. F. McCormick",
  publisher =   "NASA",
  address =     "Hampton, VA",
  year =        "1993",
  pages =       "143--157",
  }
@article{CCDouglas_AErn_MDSmooke_1994a,
  author =      "C. C. Douglas and A. Ern and M. D. Smooke", 
  title =       "Numerical simulation of laminar diffusion flames",
  journal =     "SIAM News",
  volume =      "27",
  number =      "9",
  year =        "1994",
  pages =       "1, 12--13, 17",
  }
@article{CCDouglas_AErn_MDSmooke_1996a,
  author =      "C. C. Douglas and A. Ern and M. D. Smooke", 
  title =       "High performance computing and numerical simulation of
                 flames",
  journal =     "ZAMM",
  volume =      "76",
  year =        "1996",
  pages =       "49--52",
  }
@incollection{CCDouglas_AErn_MDSmooke_1996b,
  author =      "C. C. Douglas and A. Ern and M. D. Smooke", 
  title =       "Numerical simulation of laminar diffusion flames",
  booktitle =   "Applications on Advanced Architecture Computers",
  editor =      "G. Astfalk",
  publisher=    "SIAM",
  address =     "Philadelphia",
  year =        "1996",
  pages =       "243--254",
  }
@article{CCDouglas_AErn_MDSmooke_1997a,
  author =      "C. C. Douglas and A. Ern and M. D. Smooke", 
  title =       "Multigrid solution of flame sheet problems on serial and
                 parallel computers",
  journal =     "Paral. Alg. Appl.",
  volume =      "10",
  year =        "1997",
  pages =       "225--236",
  }
@article{CCDouglas_GHaase_JHu_MKowarschik_URude_CWeiss_2000a,
  author =      "C. C. Douglas and G. Haase and J. Hu and M. Kowarschik and
                 U. R{\"u}de and C. Weiss",
  title =       "Portable memory hierarchy techniques for PDE solvers,
                 Part I",
  journal =     "SIAM News",
  volume =      "33",
  number =      "5",
  year =        "2000",
  pages =       "1, 8--9",
  }
@article{CCDouglas_GHaase_JHu_MKowarschik_URude_CWeiss_2000b,
  author =      "C. C. Douglas and G. Haase and J. Hu and M. Kowarschik and
                 U. R{\"u}de and C. Weiss",
  title =       "Portable memory hierarchy techniques for PDE solvers,
                 Part II",
  journal =     "SIAM News",
  volume =      "33",
  number =      "6",
  year =        "2000",
  pages =       "1, 10--11, 16",
  }
@inproceedings{CCDouglas_JHu_MIskandarani_2000a,
  author =      "C. C. Douglas and J. Hu and M. Iskandarani",
  title =       "Preprocessing costs of cache based multigrid",
  booktitle =   "Proceeding of ENUMATH99: Third European Conference on
                 Numerical Methods for Advanced Applications",
  editors =     "P. Neittaanm{\"a}ki and T. Tiihonen and P. Tarvainen",
  publisher =   "World Scientific",
  address =     "Singapore",
  year =        "2000",
  pages =       "362--370",
  }
@incollection{CCDouglas_JHu_MIskandarani_MKowarschik_URude_CWeiss_2000a,
  author =      "C. C. Douglas and J. Hu and M. Iskandarani and M. Kowarschik
                 and U. R{\"u}de and C. Weiss",
  title =       "Maximizing cache memory usage for multigrid algorithms",
  booktitle =   "Multiphase Flows and Transport in Porous Media: State of the Art",
  editors =     "Z. Chen and R. E. Ewing and Z.-C. Shi",
  publisher =   "Springer",
  address =     "Berlin",
  year =        "2000",
  pages =       "124--137",
  }
@inproceedings{CCDouglas_JHu_WKarl_MKowarschik_URude_CWeiss_2000a,
  author =      "C. C. Douglas and J. Hu and W. Karl and M. Kowarschik and
                 U. R{\"u}de and C. Weiss",
  title =       "Fixed and adaptive cache aware algorithms for multigrid
                 methods",
  booktitle =   "Multigrid Methods VI",
  editors =     "E. Dick and K. Riemslagh and J. Vierendeels",
  series =      "Lecture Notes in Computational Science and Engineering",
  volume =      "14",
  publisher =   "Springer--Verlag",
  address =     "Berlin",
  year =        "2000",
  pages =       "87--93",
  }
@article{CCDouglas_JHu_MKowarschik_URude_CWeiss_2000a,
  author =      "C. C. Douglas and J. Hu and M. Kowarschik and U. R{\"u}de and
                 C. Weiss",
  title =       "Cache optimization for structured and unstructured grid
                 multigrid",
  journal =     "Elect. Trans. Numer. Anal.",
  volume =      "10",
  year =        "2000",
  pages =       "21--40",
  }
@incollection{CCDouglas_JHu_JRay_DTThorne_RSTuminaro_2001a,
  author =      "C. C. Douglas and J. Hu and J. Ray and D. T. Thorne and
                 R. S. Tuminaro",
  title =       "Fast, adaptively refined computational elements in 3{D}",
  booktitle =   "Computational Science -- ICCS 2002",
  editors =     "P. M. A. Sllot and C. J. K. Tan and J. J. Dongarra and
                 A. G. Hoekstra",
  volume =      "3",
  publisher =   "Springer--Verlag",
  address =     "Berlin",
  year =        "2002",
  pages =       "774--783",
  }
@incollection{CCDouglas_SCMa_WLMiranker_1987a,
  author =      "C. C. Douglas and S. C. Ma and W. L. Miranker",
  title =       "Generating parallel algorithms through multigrid and
                 aggregation/disaggregation techniques",
  booktitle =   "Computational Acoustics:  Algorithms and Applications",
  editor =      "D. Lee and R. L. Sternberg and M. H. Schultz",
  publisher =   "Elsevier, North--Holland",
  address =     "New York",
  year =        "1987",
  pages =       "133--147"
  }
@article{CCDouglas_SMalhotra_MHSchultz_1997a,
  author =      "C. C. Douglas and S. Malhotra and M. H. Schultz",
  title =       "A characterization of mapping unstructured grids onto
                 structured grids and using multigrid as a preconditioner",
  journal =     "BIT",
  volume =      "37",
  year =        "1997",
  pages =       "661--677",
  }
@incollection{CCDouglas_SMalhotra_MHSchultz_1998a,
  author =      "C. C. Douglas and S. Malhotra and M. H. Schultz",
  title =       "Parallel multigrid with {ADI}-like smoothers in two
                 dimernsions",
  booktitle =   "5th European Multigrid Conference Special Topics and
                 Applications",
  editors =     "W. Hackbusch and G. Wittum",
  publisher =   "University of Stuttgart",
  address =     "Stuttgart",
  year =        "1998",
  pages =       "47--57",
  }
@incollection{CCDouglas_JMandel_1989a,
  author =      "C. C. Douglas and J. Mandel",
  title =       "The domain reduction method:  high way reduction in three
                 dimensions and convergence with inexact solvers",
  booktitle =   "Fourth {C}opper {M}ountain Conference on Multigrid Methods",
  editor =      "J. Mandel and S. F. McCormick and J. E. Dendy and
                 C. Farhat and G. Lonsdale and S. V. Parter and J. W. Ruge
                 and K. St{\"u}ben",
  publisher=    "SIAM",
  address =     "Philadelphia",
  year =        "1989",
  pages =       "149--160"
  }
@article{CCDouglas_JMandel_1992a,
  author =      "C. C. Douglas and J. Mandel",
  title =       "A group theoretic approach to the domain reduction method",
  journal =     "Computing",
  volume =      "48",
  year =        "1992",
  pages =       "73--96"
  }
@article{CCDouglas_JMandel_WLMiranker_1990a,
  author =      "C. C. Douglas and J. Mandel and W. L. Miranker",
  title =       "Fast hybrid solution of algrebraic systems",
  journal =     "SIAM J. Sci. Stat. Comput.",
  volume =      "11",
  year =        "1990",
  pages =       "1073--1086"
  }
@article{CCDouglas_WLMiranker_1988a,
  author =      "C. C. Douglas and W. L. Miranker",
  title =       "Constructive interference in parallel algorithms",
  journal =     "SIAM J. Numer. Anal.",
  volume =      "25",
  year =        "1988",
  pages =       "376--398"
  }
@incollection{CCDouglas_WLMiranker_1988b,
  author =      "C. C. Douglas and W. L. Miranker",
  title =       "Some nontelescoping parallel algorithms based on serial
                 multi\-grid/aggre\-ga\-tion/dis\-aggre\-ga\-tion techniques",
  booktitle=    "Multigrid Methods: Theory, Applications, and Supercomputing",
  editor =      "S. F. McCormick",
  series =      "Lecture Notes in Pure and Applied Mathematics",
  volume =      "110",
  publisher=    "Marcel Dekker",
  address =     "New York",
  year =        "1988",
  pages =       "167--176"
  }
@article{CCDouglas_BFSmith_1989a,
  author =      "C. C. Douglas and B. F. Smith",
  title =       "Using symmetries and antisymmetries to analyze a parallel
                 multigrid algorithm",
  journal =     "SIAM J. Numer. Anal.",
  volume =      "26",
  year =        "1989",
  pages =       "1439--1461"
  }
@article{JDouglas_REEwing_MFWheeler_1983a,
  author =      "J. Douglas and R. E. Ewing and M. F. Wheeler",
  title =       "The approximation of the pressure by a mixed method in the 
                 simulation of miscible displacement",
  journal =     "RAIRO Anal. Numer.",
  volume =      "17",
  year =        "1983",
  pages =       "17--33",
  }
@article{JDouglas_FFurtado_FPereira_1996a,
  author =      "J. Douglas and F. Furtado and F. Pereira",
  title =       "Parallel methods for immiscible displacement in porous media",
  journal =     "Wuhan U. J. Nat. Sci.",
  volume =      "1",
  year =        "1996",
  pages =       "502--507",
  }
@article{JDouglas_CSHuang_1997a,
  author =      "J. Douglas and C.--S. Huang",
  title =       "An accelerated domain decomposition procedure based on {R}obin
                 transmission conditions",
  journal =     "BIT",
  volume =      "37",
  year =        "1997",
  pages =       "678--686",
  }
@inproceedings{JDouglas_DBMeade_1997a,
  author =      "J. Douglas and D. B. Meade",
  title =       "Second-order transmission conditions for the {H}elmholtz
                 equation",
  booktitle =   "Ninth International Conference on Domain Decomposition
                 Methods",
  editors =     "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
  publisher =   "DDM.org",
  address =     "Bergen",
  year =        "1997",
  pages =       "434--440",
  }
@inproceedings{JBDrake_REFlanery_DWWalker_PHWorley_ITFoster_JGMichalakes_RLStevens_JJHack_DLWilliamson_1993a,
  author =      "J. B. Drake and R. E. Flanery and D. W. Walker and 
                 P. M. Worley and I. T. Foster and J. G. Michalakes and
                 R. L. Stevens and J. J. Hack and D. L. Williamson",
  title =       "The message passing version of the parallel community 
                 climate model",
  booktitle =   "Proceedings of the Fifth ECMWF Workshop on the Use of 
                 Parallel Processors in Meteorology. Parallel Supercomputing 
                 in Atmospheric Science",
  volume =      "",
  editor =      "G. R. Hoffman and T. Kauranne",
  publisher =   "World Scientific",
  address =     "Singapore",
  year =        "1993",
  pages =       "500--513",
  }
@incollection{JBDrake_LJGray_1989a,
  author =      "J. B. Drake and L. J. Gray",
  title =       "Parallel implementation of the boundary element method",
  booktitle =   "Vector and Parallel Computing:  issues in applied research
                 and development",
  editors =     "J. J. Dongarra and I. S. Duff and P. Gaffney and S. McKee",
  publisher =   "Ellis Horwood Ltd. (John Wiley \& Sons)",
  address =     "Chichester",
  year =        "1989",
  pages =       "83--92",
  }
@incollection{DDrikakis_ESchreck_1993a,
  author =      "D. Drikakis and E. Schreck",
  title =       "Parallel multi--level calculations for viscous compressible 
                 flows",
  booktitle =   "CFD Algorithms and Applications for Parallel Processors
                 American Society of Mechanical Engineers, Fluids Engineering 
                 Division (Publication) FED",
  volume =      "156",
  publisher =   "ASME",
  address =     "New York, NY",
  year =        "1993",
  pages =       "9--23",
  }
@inproceedings{DDrikakis_OIliev_DVassileva_2000a,
  author =      "D. Drikakis and O. Iliev and V. Vassileva",
  title =       "An adaptive--smoothing multigrid method for the
                 {N}avier--{S}tokes equations",
  booktitle =   "Multigrid Methods VI",
  editors =     "E. Dick and K. Riemslagh and J. Vierendeels",
  series =      "Lecture Notes in Computational Science and Engineering",
  volume =      "14",
  publisher =   "Springer--Verlag",
  address =     "Berlin",
  year =        "2000",
  pages =       "94--100",
  }
@article{JDrkosova_AGreenbaum_MRozloznik_ZStrakos_1995a,
  author =      "J. Drko{\v s}ov{\'a} and A. Greenbaum and
                 M. Rozlo{\v z}nik and Z. Strako{\v s}",
  title =       "Numerical stability of {GMRES}",
  journal =     "BIT",
  volume =      "35",
  year =        "1995",
  pages =       "309--330",
  }
@incollection{MDryja_1981a,
  author =      "M. Dryja",
  title =       "An algorithm with a capacitance matrix for a 
                 variational--difference scheme",
  booktitle =   "Variational--Difference Methods in Mathematical Physics",
  editor =      "G. I. Marchuk",
  publisher =   "USSR Academy of Sciences",
  address =     "Novosibirsk",
  year =        "1981",
  pages =       "63--73",
  }
@article{MDryja_1982a,
  author =      "M. Dryja",
  title =       "A capacitance matrix method for {D}irichlet problems on 
                 polygonal domains",
  journal =     "Numer. Math.",
  volume =      "39",
  year =        "1982",
  pages =       "51--64",
  }
@article{MDryja_1983a,
  author =      "M. Dryja",
  title =       "A finite element -- capacitance matrix method for the 
                 elliptic problem",
  journal =     "SIAM J. Numer. Anal.",
  volume =      "20",
  year =        "1983",
  pages =       "671--680",
  }
@article{MDryja_1984a,
  author =      "M. Dryja",
  title =       "A finite element--capacitance matrix method for elliptic 
                 problems in regions partitioned into subregions",
  journal =     "Numer. Math.",
  volume =      "44",
  year =        "1984",
  pages =       "153--168",
  }
@incollection{MDryja_1984b,
  author =      "M. Dryja",
  title =       "Domain decomposition method for solving variational 
                 difference systems for elliptic problems",
  booktitle =   "Variatsionnonaznostnye metody v matematicheskoi fizike",
  editor =      "N. S. Bakhvalov and Yu. A. Kuznetsov",
  publisher =   "Otdel Vishislitel'noi Matematiki Akad. Nauk SSSR",
  address =     "Moscow",
  year =        "1984",
  pages =       "",
  }
@inproceedings{MDryja_1988a,
  author =      "M. Dryja",
  title =       "A method of domain decomposition for 3--{D} finite element 
                 problems",
  booktitle =   "First International Symposium on Domain Decomposition 
                 Methods for Partial Differential Equations",
  editor =      "R. Glowinski and G. H. Golub and G. A. Meurant and 
                 J. P{\'e}riaux",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1988",
  pages =       "",
  }
@inproceedings{MDryja_1988b,
  author =      "M. Dryja",
  title =       "A method of domain decomposition for three--dimensional 
                 finite element elliptic problems",
  booktitle =   "First International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations",
  editor =      "R. Glowinski and G. H. Golub and G. A. Meurant and
                 J. P{\'e}riaux",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1988",
  pages =       "43--61",
  }
@incollection{MDryja_1989a,
  author =      "M. Dryja",
  title =       "An additive {S}chwartz algorithm for two--and three-- 
                 dimensional finite element elliptic problems",
  booktitle =   "Domain Decomposition Methods",
  editor =      "T. F. Chan and R. Glowinski and
                 J. P{\'e}riaux and O. B. Widlund",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1989",
  pages =       "168--172",
  }
@inproceedings{MDryja_1989b,
  author =      "M. Dryja",
  title =       "On the optimality of an additive iterative refinement method",
  booktitle =   "Multigrid Methods",
  editor =      "J. Mandel and S. McCormick and J. J. E. Dendy and C. Farhat 
                 and G. Lonsdale and S. V. Parter and J. W. Ruge and 
                 K. St{\"u}ben",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1989",
  pages =       "",
  }
@inproceedings{MDryja_1991a,
  author =      "M. Dryja",
  title =       "Substructuring methods for parabolic problems",
  booktitle =   "Fourth International Symposium on Domain Decomposition 
                 Methods for Partial Differential Equations",
  editor =      "R. Glowinski and Yu. A. Kuznetsov and G. A. Meurant and 
                 J. P{\'e}riaux and O. B. Widlund",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1991",
  pages =       "264--271",
  }
@inproceedings{MDryja_1994a,
  author =      "M. Dryja",
  title =       "Multilevel methods for elliptic problems with discontinuous 
                 coefficients in three dimensions",
  booktitle =   "Domain Decomposition Methods in Scientific and Engineering
                 Computing:  Proceedings of the Seventh International
                 Conference on Domain Decomposition",
  editors =     "D. E. Keyes and J. Xu",
  series =      "Contemporary Mathematics",
  volume =      "180",
  publisher =   "American Mathematical Society",
  address =     "Providence, Rhode Island",
  year =        "1994",
  pages =       "43--47",
  }
@inproceedings{MDryja_1997a,
  author =      "M. Dryja",
  title =       "An additive {S}chwarz method for elliptic mortar finite
                 element problems in three dimensions",
  booktitle =   "Ninth International Conference on Domain Decomposition
                 Methods",
  editors =     "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
  publisher =   "DDM.org",
  address =     "Bergen",
  year =        "1997",
  pages =       "88--96",
  }
@article{MDryja_WHackbusch_1997a,
  author =      "M. Dryja and W. Hackbusch",
  title =       "On the nonlinear domain decomposition method",
  journal =     "BIT",
  volume =      "37",
  year =        "1997",
  pages =       "296--311",
  }
@incollection{MDryja_WProskurowski_1984a,
  author =      "M. Dryja and W. Proskurowski",
  title =       "Fast elliptic solvers on rectangular regions subdivided 
                 into strips",
  booktitle =   "Advances in Computer Methods for Partial Differential 
                 Equations",
  editor =      "R. Vichnevetski and R. Stapleman",
  publisher =   "IMACS",
  address =     "New York",
  year =        "1984",
  pages =       "360--368",
  }
@article{MDryja_WProskurowski_1985a,
  author =      "M. Dryja and W. Proskurowski",
  title =       "A capacitance matrix method using strips with alternating 
                 {N}eumann and {D}irichlet boundary conditions",
  journal =     "Appl. Numer. Math.",
  volume =      "1",
  year =        "1985",
  pages =       "285--298",
  }
@incollection{MDryja_WProskurowski_OBWidlund_1986a,
  author =      "M. Dryja and W. Proskurowski and O. B. Widlund",
  title =       "A method of domain decomposition with cross points for 
                 elliptic finite element problems",
  booktitle =   "Optimal Algorithm",
  editor =      "Bl. Sendov",
  publisher =   "Publishing House of the Bulgarian Academy of Sciences",
  address =     "Sofia",
  year =        "1986",
  pages =       "97--111",
  }
@incollection{MDryja_WProskurowski_OBWidlund_1987a,
  author =      "M. Dryja and W. Proskurowski and O. B. Widlund",
  title =       "Numerical experiments and implementation of domain 
                 decomposition method with cross points",
  booktitle =   "Advances in Computer Methods for {PDE}'s--{VI}",
  editor =      "R. Vichnevetsky and R. Stepleman",
  publisher =   "IMACS",
  address =     "New Brunswick, NJ",
  year =        "1987",
  pages =       "23--27",
  }
@article{MDryja_BFSmith_OBWidlund_1994a,
  author =      "M. Dryja and B. F. Smith and O. B. Widlund",
  title =       "Schwarz analysis of iterative substructuring algorithms for 
                 elliptic problems in three dimensions",
  journal =     "SIAM J. Numer. Anal.",
  volume =      "31",
  year =        "1994",
  pages =       "",
  }
@inproceedings{MDryja_OBWidlund_1989a,
  author =      "M. Dryja and O. B. Widlund",
  title =       "On the optimality of an additive iterative refinement method",
  booktitle =   "Proceedings of the Fourth Copper Mountain Conference on 
                 Multigrid Methods",
  editor =      "J. Mandel and S. F. McCormick and J. E. Dendy and C. Farhat
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  author =      "B. G. Ersland and R. Teigland",
  title =       "Comparison of two cell--centered multigrid schemes for 
                 problems with discontinuous coefficients",
  journal =     "Numer. Meth. for PDE",
  volume =      "9",
  year =        "1993",
  pages =       "265--283",
  }
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  author =      "B. G. Ersland and M. S. Espedal",
  title =       "A domain decomposition method for heterogeneous resevoir
                 flow",
  booktitle =   "Domain Decomposition Methods in Sciences and Engineering",
  editors =     "R. Glowinski and J. P{\'e}riaux and Z.--C. Shi and O. Widlund",
  series =      "8th International Conference, Beijing, P. R. China",
  volume =      "",
  publisher =   "John Wiley \& Sons",
  address =     "Chichester, New York, Weinheim, Brisbane, Singapore, Toronto",
  year =        "1997",
  pages =       "477--484",
  }
@inproceedings{BGErsland_MSEspedal_1997b,
  author =      "B. G. Ersland and M. S. Espedal",
  title =       "On object oriented programming languages as a tool for a
                 domain decomposition method with local adaptive refinement",
  booktitle =   "Ninth International Conference on Domain Decomposition
                 Methods",
  editors =     "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
  publisher =   "DDM.org",
  address =     "Bergen",
  year =        "1997",
  pages =       "663--669",
  }
@article{YEscaig_GTouzot_MVayssade_1994a,
  author =      "Y. Escaig and G. Touzot and M. Vayssade",
  title =       "Parallelization of a multilevel domain decomposition 
                 method",
  journal =     "Comput. Syst. Eng.", 
  volume =      "5",                 
  year =        "1994", 
  pages =       "253--263",
  }
@article{MSEspedal_REEwing_1987a,
  author =      "M. S. Espedal and R. E. Ewing",
  title =       "Characteristic {P}etrov--{G}alerkin subdomain methods for 
                 two--phase immiscible flow",
  journal =     "Comp. Meth. Appl. Mech. Engng.",
  volume =      "64",
  year =        "1987",
  pages =       "113--135",
  }
@inproceedings{MSEspedal_XCTai_NYan_1997a,
  author =      "M. S. Espedal and X.-C. Tai and N. Yan",
  title =       "A hybrid domain decomposition method for
                 convection-dominated problems",
  booktitle =   "Ninth International Conference on Domain Decomposition
                 Methods",
  editors =     "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
  publisher =   "DDM.org",
  address =     "Bergen",
  year =        "1997",
  pages =       "230--236",
  }
@inproceedings{DVEssen_GKupers_HMes_1987a,
  author =      "D.{Van} Essen and G. Kupers and H. Mes",
  title =       "Thermal hydraulic modelling studies on heat exchanging
                 components",
  booktitle =   "Research in Numerical Fluid Mechanics",
  editor =      "P. Wesseling",
  series =      "Notes on Numerical Fluid Mechanics",
  volume =      "17",
  publisher =   "Vieweg",
  address =     "Braunschweig",
  year =        "1987",
  pages =       "30--44",
  }
@article{DJEvans_LKang_YChen_JPShao_1987a,
  author =      "D. J. Evans and L. Kang and Y. Chen and J. P. Shao",
  title =       "The convergence rate of the {S}chwarz alternating
                 procedure ({IV}) -- with pseudo boundary relaxation
                 factor",
  journal =     "Int. J. Comput. Math.",
  volume =      "21",
  year =        "1987",
  pages =       "185--203",
  }
@article{DJEvans_LKang_JPShao_YChen_1986a,
  author =      "D. J. Evans and L. Kang and J. P. Shao and Y. Chen",
  title =       "The convergence rate of the {S}chwarz alternating
                 procedure ({I}) --  for one dimensional problems",
  journal =     "Int. J. Comput. Math.",
  volume =      "20",
  year =        "1986",
  pages =       "157--170",
  }
@incollection{DJEvans_LKang_1989a,
  author =      "D. J. Evans and L. Kang",
  title =       "New domain decomposition strategies for elliptic partial
                 differential equations",
  booktitle =   "Domain Decomposition Methods",
  editor =      "T. F. Chan and R. Glowinski and J. P{\'e}riaux and
                 O. B. Widlund",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1989",
  pages =       "173--191",
  }
@article{DJEvans_GYLei_1995a,
  author =      "D. J. Evans and G.--Y. Lei",
  title =       "Approximate inverses of multidiagonal matrices and application
                 to the block {PCG} method",
  journal =     "BIT",
  volume =      "35",
  year =        "1995",
  pages =       "48--63",
  }
@article{DJEvans_JPShao_LKang_YChen_1986a,
  author =      "D. J. Evans and J. P. Shao and L. Kang and Y. Chen",
  title =       "The convergence rate of the {S}chwarz alternating
                 procedure ({II}) --  for 2 dimensional problems",
  journal =     "Int. J. Comput. Math.",
  volume =      "20",
  year =        "1986",
  pages =       "325--339",
  }
@incollection{REEwing_1986a,
  author =      "R. E. Ewing",
  title =       "Adaptive mesh refinement in large--scale fluid flow 
                 simulation",
  booktitle =   "Accuracy estimates and adaptivity for finte elements",
  editors =     "I. Bab{\v s}ska and O. Zienkiewicz and E. Oliveira",
  publisher =   "John Wiley \& Sons",
  address =     "New York",
  year =        "1986",
  pages =       "299--314",
  }
@article{REEwing_1986b,
  author =      "R. E. Ewing",
  title =       "Efficient adaptive procedures for fluid flow applications",
  journal =     "Comp. Meth. Appl. Mech. Engng.",
  volume =      "55",
  year =        "1986",
  pages =       "89--103",
  }
@incollection{REEwing_1988a,
  author =      "R. E. Ewing",
  title =       "Adaptive grid--refinement techniques for treating
                 singularities, heterogeneities, and dispersion",
  booktitle =   "Numerical Simulation in Oil Recovery",
  editor =      "M. F. Wheeler",
  series =      "IMA",
  volume =      "11",
  publisher =   "Springer--Verlag",
  address =     "New York",
  year =        "1988",
  pages =       "133--148",
  }
@incollection{REEwing_1989a,
  author =      "R. E. Ewing",
  title =       "Domain decomposition techniques for efficient adaptive
                 local grid refinement",
  booktitle =   "Domain Decomposition Methods",
  editor =      "T. F. Chan and R. Glowinski and J. P{\'e}riaux and
                 O. B. Widlund",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1989",
  pages =       "192--206",
  }
@incollection{REEwing_1989b,
  author =      "R. E. Ewing",
  title =       "Large scale computing in reservoir simulation",
  booktitle =   "Vector and Parallel Computing:  issues in applied research
                 and development",
  editors =     "J. J. Dongarra and I. S. Duff and P. Gaffney and S. McKee",
  publisher =   "Ellis Horwood Ltd. (John Wiley \& Sons)",
  address =     "Chichester",
  year =        "1989",
  pages =       "123--137",
  }
@article{REEwing_OPIliev_SDMargenov_PSVassilevski_1995a,
  author =      "R. E. Ewing and O. P. Iliev and S. D. Margenov and
                 P. S. Vassilevski",
  title =       "Numerical study of three multilevel preconditioners 
                 for solving 2{D} unsteady {N}avier--{S}tokes 
                 equations",
  journal =     "Comput. Meth. Appl. Mech. Engrg.", 
  volume =      "121",
  year =        "1995",
  pages =       "177--186",
  }
@inproceedings{REEwing_YAKuznetsov_RLazarov_SMaliassov_1994a,
  author =      "R. E. Ewing and Yu. A. Kuznetsov and R. Lazarov and 
                 S. Maliassov",
  title =       "Preconditioning of nonconforming finite element 
                 approximations of second order elliptic problems",
  booktitle =   "Proc. of the Third Int. Conf. on Advances in Numerical 
                 Methods and Applications",
  editors =     "I. T. Dimov, and Bl. Sendov and P. S. Vassilevski",
  address =     "Bulgaria",
  year =        "1994",
  pages =       "101--110",
  }
@incollection{REEwing_RDLazarov_TFRussell_PSVassilevski_1990a,
  author =      "R. E. Ewing and R. D. Lazarov and T. F. Russell and 
                 P. S. Vassilevski",
  title =       "Local refinement via domain decomposition techniques for 
                 mixed finite element methods with rectangular 
                 {R}aviar--{T}homas elements",
  booktitle =   "Domain Decomposition Methods for PDE's",
  editor =      "T. F. Chan and R. Glowinski and J. P{\'e}riaux and 
                 O. B. Widlund",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1990",
  pages =       "98--114",
  }
@inproceedings{REEwing_RDLazarov_PSVassilevski_1991a,
  author =      "R. E. Ewing and R. D. Lazarov and P. S. Vassilevski",
  title =       "Mixed finite element solutions of second order elliptic 
                 problems on grids with regular local refinement",
  booktitle =   "Fourth International Symposium on Domain Decomposition 
                 Methods for Partial Differential Equations",
  editor =      "R. Glowinski and Yu. A. Kuznetsov and G. A. Meurant and 
                 J. P{\'e}riaux and O. B. Widlund",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1991",
  pages =       "206--212",
  }
@article{REEwing_RDLazarov_PSVassilevski_1991b,
  author =      "R. E. Ewing and R. D. Lazarov and P. S. Vassilevski",
  title =       "Local refinement techniques for elliptic problems on
                 cell--centered grids.  {I}:  {E}rror analysis",
  journal =     "Math. Comp.",
  volume =      "56",
  year =        "1991",
  pages =       "437--461",
  }
@inproceedings{REEwing_SMaliassov_1996a,
  author =      "R. E. Ewing and S. Maliassov",
  title =       "Preconditioning techniques for mixed and nonconforming finite
                 element methods",
  booktitle =   "AMLI'96:  Proceedings of the Conference on Algebraic
                 Multilevel Iteration Methods with Applications",
  editors =     "O. Axelsson and B. Polman",
  volume =      "1",
  publisher =   "University of Nijmegan",
  address =     "Nijmegan, The Netherlands",
  year =        "1996",
  pages =       "7--22",
  }
@inproceedings{REEwing_SMaliassov_YAKuznetsov_RLazarov_1995a,
  author =      "R. E. Ewing and S. Maliassov and Yu. A. Kuznetsov and
                 R. Lazarov",
  title =       "Substructure preconditioning for porous flow problems",
  booktitle =   "Finite Element Modeling of Environmental Problems",
  editor =      "G. Garey",
  publisher =   "John Wiley \& Sons",
  address =     "New York",
  year =        "1995",
  pages =       "303--332",
  }
@inproceedings{REEwing_SFMcCormick_JWThomas_1984a,
  author =      "R. E. Ewing and S. F. McCormick and J. W. Thomas",
  title =       "The fast adaptive composite grid method for solving 
                 differential boundary value problems",
  booktitle =   "Proc. Fifth ASCE--EMD Speciality Conference",
  publisher =   "",
  address =     "",
  year =        "1984",
  pages =       "1453--1456",
  }
@article{REEwing_TFRussell_MFWheeler_1984a,
  author =      "R. E. Ewing and T. F. Russell and M. F. Wheeler",
  title =       "Convergence analysis of an approximation of miscible 
                 displacement in porous media by mixed finite elements and 
                 a modified method of characteristics",
  journal =     "Comp. Meth. Appl. Mech. Engng.",
  volume =      "47",
  year =        "1984",
  pages =       "73--92",
  }
@inproceedings{REEwing_JShen_1993a,
  author =      "R. E. Ewing and J. Shen",
  title =       "A multigrid algorithm nfor the cell--centered finite
                 difference scheme",
  booktitle =   "Sixth Copper Mountain Conference on Multigrid Methods",
  volume =      "CP 3224",
  editor =      "N. D. Melson and T. A. Manteuffel and S. F. McCormick",
  publisher =   "NASA",
  address =     "Hampton, VA",
  year =        "1993",
  pages =       "583--592",
  }
@inproceedings{REEwing_PSVassilevski_1992a,
  author =      "R. E. Ewing and P. S. Vassilevski",
  title =       "Two--level iterative refinement preconditioners",
  booktitle =   "Fifth International Symposium on Domain Decomposition 
                 Methods for Partial Differential Equations",
  editor =      "D. E. Keyes and T. F. Chan and G. A. Meurant and J. S. Scroggs 
                 and R. G. Voigt",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1992",
  pages =       "262--270",
  }
@inproceedings{REEwing_JWang_1992a,
  author =      "R. E. Ewing and J. Wang",
  title =       "The {S}chwarz algorithm and multilevel decomposition iterative
                 techniques for mixed finite element methods",
  booktitle =   "Fifth International Symposium on Domain Decomposition 
                 Methods for Partial Differential Equations",
  editor =      "D. E. Keyes and T. F. Chan and G. A. Meurant and J. S. Scroggs 
                 and R. G. Voigt",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1992",
  pages =       "48--55",
  }
@incollection{REEwing_MFWheeler_1983a,
  author =      "R. E. Ewing and M. F. Wheeler",
  title =       "Computational aspects of mixed finite element methods",
  booktitle =   "Numerical Methods for Scientific Computing",
  editor =      "R. S. Stepleman",
  publisher =   "North--Holland",
  address =     "Amsterdam",
  year =        "1983",
  pages =       "163--172",
  }
@inproceedings{EFaccioli_AQuarteroni_ATagliani_1994a,
  author =      "E. Faccioli and A. Quarteroni and A. Tagliani",
  title =       "Spectral multidomain methods for the simulation of wave
                 propagation in heterogeneous media",
  booktitle =   "Domain Decomposition Methods in Science and Engineering:
                 The Sixth International Conference on Domain Decomposition",
  editors =     "A. Quarteroni and J. P{\'e}riaux and Yu. A. Kuznetsov and
                 O. B. Widlund",
  series =      "Contemporary Mathematics",
  volume =      "157",
  publisher =   "American Mathematical Society",
  address =     "Providence, Rhode Island",
  year =        "1994",
  pages =       "447--455",
  }
@inproceedings{RDFalgout_JEJones_2000a,
  author =      "R. D. Falgout and J. E. Jones",
  title =       "Multigrid on massively parallel architectures",
  booktitle =   "Multigrid Methods VI",
  editors =     "E. Dick and K. Riemslagh and J. Vierendeels",
  series =      "Lecture Notes in Computational Science and Engineering",
  volume =      "14",
  publisher =   "Springer--Verlag",
  address =     "Berlin",
  year =        "2000",
  pages =       "101--107",
  }
@article{RSFalk_JEOsborn_1980a,
  author =      "R. S. Falk and J. E. Osborn",
  title =       "Error estimates for mixed methods",
  journal =     "RAIRO Anal. Numer.",
  volume =      "14",
  year =        "1980",
  pages =       "249--277",
  }
@article{MAFallavollita_JDMcDonald_DBaganoff_1992a,
  author =      "M. A. Fallavollita and J. D. McDonald and D. Baganoff",
  title =       "Parallel implementation of a particle simulation for 
                 modeling rarefied gas dynamic flow",
  journal =     "Comput. Syst. Eng.",
  volume =      "3",
  year =        "1992",
  pages =       "283--289",
  }
@article{QFang_TYamamoto_2001a,
  author =      "Q. Fang and T. Yamamoto",
  title =       "Superconvergence of finite difference approximations for
                 convection-diffusion problems",
  journal =     "Numer. Lin. Alg. Appl.",
  volume =      "8",
  year =        "2001",
  pages =       "99--110",
  }
@article{SFarestam_RBSimpson_1995a,
  author =      "S. Farestam and R. B. Simpson",
  title =       "A framework for advancing front techniques of finite element
                 mesh generation",
  journal =     "BIT",
  volume =      "35",
  year =        "1995",
  pages =       "",
  }
@article{CFarhat_1988a,
  author =      "C. Farhat",
  title =       "A simple and efficient automatic {FEM} domain decomposer",
  journal =     "Comput. Struct.",
  volume =      "28",
  year =        "1988",
  pages =       "579--602",
  }
@article{CFarhat_1989a,
  author =      "C. Farhat",
  title =       "On the mapping of massively parallel processors onto finite 
                 element graphs",
  journal =     "Comput. Struct.",
  volume =      "32, no. 2",
  year =        "1989",
  pages =       "347--353",
  }
@inproceedings{CFarhat_1989b,
  author =      "C. Farhat",
  title =       "A multigrid--like semi--iterative algorithm for the 
                 massively parallel solution of large scale finite element 
                 systems",
  booktitle =   "Proceedings of the Fourth Copper Mountain Conference on 
                 Multigrid Methods",
  editor =      "J. Mandel and S. F. McCormick and J. E. Dendy and C. Farhat
                 and G. Lonsdale and S. V. Parter and J. W. Ruge and 
                 K. St{\"u}ben",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1989",
  pages =       "171--180",
  }
@inproceedings{CFarhat_1989c,
  author =      "C. Farhat",
  title =       "A multigrid--like algorithm for the massively parallel
                 solution of large systems of finite element equations",
  booktitle =   "Preliminary Proc. of the 4th Copper Mountain Conference on
                 Multigrid Methods",
  volume =      "2",
  editor =      "J. Mandel and S. F. McCormick",
  publisher =   "Computational Mathematics Group, Univ. of Colorado",
  address =     "Denver",
  year =        "1989",
  pages =       "47--59",
  }
@inproceedings{CFarhat_1992a,
  author =      "C. Farhat",
  title =       "A saddle--point principle domain decomposition method for
                 the solution of solid mechanics problems",
  booktitle =   "Fifth International Symposium on Domain Decomposition 
                 Methods for Partial Differential Equations",
  editor =      "D. E. Keyes and T. F. Chan and G. A. Meurant and J. S. Scroggs 
                 and R. G. Voigt",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1992",
  pages =       "271--292",
  }
@article{CFarhat_1993a,
  author =      "C. Farhat",
  title =       "Fast structural design and analysis via hybrid domain 
                 decomposition on massively parallel processors",
  journal =     "Comput. Syst. Eng.",
  volume =      "4",
  year =        "1993",
  pages =       "453--472",
  }
@inproceedings{CFarhat_PSChen_1994a,
  author =      "C. Farhat and P.--S. Chen",
  title =       "Tailoring domain decomposition methods for efficient 
                 parallel coarse grid solution and for systems with many 
                 right hand sides",
  booktitle =   "Domain Decomposition Methods in Scientific and Engineering
                 Computing:  Proceedings of the Seventh International
                 Conference on Domain Decomposition",
  editors =     "D. E. Keyes and J. Xu",
  series =      "Contemporary Mathematics",
  volume =      "180",
  publisher =   "American Mathematical Society",
  address =     "Providence, Rhode Island",
  year =        "1994",
  pages =       "401--406",
  }
@article{CFarhat_LCrivelli_FXRoux_1994a,
  author =      "C. Farhat and L. Crivelli and F.--X. Roux",
  title =       "Extending substructure based iterative solvers to multiple
                 load and repeated analyses",
  journal =     "Computer Meth. Appl. Mech. Engng.",
  volume =      "117",
  year =        "1994",
  pages =       "195--209",
  }
@article{CFarhat_LCrivelli_FXRoux_1994b,
  author =      "C. Farhat and L. Crivelli and F.--X. Roux",
  title =       "Transient {FETI} methodology for large-scale parallel
                 implicit computations in structural mechanics",
  journal =     "Int. J. Numer. Meth. Engng.",
  volume =      "37",
  year =        "1994",
  pages =       "1945--1975",
  }
@article{CFarhat_SLanteri_HDSimon_1995a,
  author =      "C. Farhat and S. Lanteri and H. D. Simon",
  title =       "{TOP/DOMDEC} a software tool for mesh partitioning and
                 parallel processing",
  journal =     "Comput. Syst. Eng.",
  volume =      "6",
  year =        "1995",
  pages =       "13--26",
  }
@article{CFarhat_MLesoinne_1993a,
  author =      "C. Farhat and M. Lesoinne",
  title =       "Automatic partitioning of unstructured meshes for the 
                 parallel solution of problems in computational mechanics",
  journal =     "J. Numer. Meth. Engrg.",
  volume =      "36",
  year =        "1993",
  pages =       "745--764",
  }
@article{CFarhat_MLesoinne_1993b,
  author =      "C. Farhat and M. Lesoinne",
  title =       "Mesh partitioning algorithms for the parallel solution of 
                 partial differential equations",
  journal =     "Appl. Numer. Math.",
  volume =      "12",
  year =        "1993",
  pages =       "443--457",
  }
@article{CFarhat_MLesoinne_KPierson_2000a,
  author =      "C. Farhat and M. Lesoinne and K. Pierson",
  title =       "A scalable dual-primal domain decomposition method",
  journal =     "Numer. Lin. Alg. Appl.",
  volume =      "7",
  year =        "2000",
  pages =       "687--714",
  }
@inproceedings{CFarhat_JMandel_1997a,
  author =      "C. Farhat and J. Mandel",
  title =       "Scalable substructuring by lagrange multipliers in theory
                 and practice",
  booktitle =   "Ninth International Conference on Domain Decomposition
                 Methods",
  editors =     "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
  publisher =   "DDM.org",
  address =     "Bergen",
  year =        "1997",
  pages =       "20--30",
  }
@inproceedings{CFarhat_DRixen_1996a,
  author =      "C. Farhat and D. Rixen",
  title =       "A new coarsening operator for the optimal preconditioning
                 of the dual and primal domain decomposition methods:
                 {A}pplication to problems with severe coefficient jumps",
  booktitle =   "Seventh Copper Mountain Conference on Multigrid Methods",
  volume =      "CP 3339",
  editor =      "N. D. Melson and T. A. Manteuffel and S. F. McCormick and
                 C. C. Douglas",
  publisher =   "NASA",
  address =     "Hampton, VA",
  year =        "1996",
  pages =       "301--316",
  }
@article{CFarhat_FXRoux_1991a,
  author =      "C. Farhat and F.--X. Roux",
  title =       "A method of finite element tearing and interconnecting and
                 its parallel solution algorithm",
  journal =     "Int. J. Numer. Meth. Engng.",
  volume =      "32",
  year =        "1991",
  pages =       "1205--1227",
  }
@article{CFarhat_FXRoux_1992a,
  author =      "C. Farhat and F.--X. Roux",
  title =       "An unconventional domain decomposition method for an 
                 efficient parallel solution of large--scale finite element 
                 systems",
  journal =     "SIAM J. Sci. Stat. Comput.",
  volume =      "13",
  year =        "1992",
  pages =       "379--396",
  }
@inproceedings{CFarhat_FXRoux_1994a,
  author =      "C. Farhat and F.--X. Roux",
  title =       "The dual {S}chur complement method with well--posed local
                 {N}eumann problems",
  booktitle =   "Domain Decomposition Methods in Science and Engineering:
                 The Sixth International Conference on Domain Decomposition",
  editors =     "A. Quarteroni and J. P{\'e}riaux and Yu. A. Kuznetsov and
                 O. B. Widlund",
  series =      "Contemporary Mathematics",
  volume =      "157",
  publisher =   "American Mathematical Society",
  address =     "Providence, Rhode Island",
  year =        "1994",
  pages =       "193--201",
  }
@article{CFarhat_FXRoux_1994b,
  author =      "C. Farhat and F.--X. Roux",
  title =       "Implicit parallel processing in structural mechanics",
  journal =     "Comput. Mech. Adv.",
  volume =      "2", 
  year =        "1994", 
  pages =       "1--124",
  }
@article{CFarhat_EWilson_1987a,
  author =      "C. Farhat and E. Wilson",
  title =       "A new finite element concurrent computer program 
                 architecture",
  journal =     "Int. J. Numer. Meth. Engng.",
  volume =      "24",
  year =        "1987",
  pages =       "1771--1792",
  }
@article{CFarhat_EWilson_1988a,
  author =      "C. Farhat and E. Wilson",
  title =       "A parallel active column equation solver",
  journal =     "Comput. Struct.",
  volume =      "28",
  year =        "1988",
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  }
@inproceedings{PAFarrell_ARuttan_RRZeller_1993a,
  author =      "P. A. Farrell and A. Ruttan and R. R. Zeller",
  title =       "Application of multigrid methods to the solution of liquid
                 crystal equations on a {SIMD} computer",
  booktitle =   "Sixth Copper Mountain Conference on Multigrid Methods",
  volume =      "CP 3224",
  editor =      "N. D. Melson and T. A. Manteuffel and S. F. McCormick",
  publisher =   "NASA",
  address =     "Hampton, VA",
  year =        "1993",
  pages =       "191--206",
  }
@inproceedings{JFassbender_2000a,
  author =      "J. Fassbender",
  title =       "Experiences with multigrid--prolongation for two--equation
                 turbulence models in flows with high {R}eynolds numbers",
  booktitle =   "Multigrid Methods VI",
  editors =     "E. Dick and K. Riemslagh and J. Vierendeels",
  series =      "Lecture Notes in Computational Science and Engineering",
  volume =      "14",
  publisher =   "Springer--Verlag",
  address =     "Berlin",
  year =        "2000",
  pages =       "108--114",
  }
@article{JLFattebert_1996a,
  author =      "J. L. Fattebert",
  title =       "An inverse iteration method using multigrid for quantum
                 chemistry",
  journal =     "BIT",
  volume =      "36",
  year =        "1996",
  pages =       "509--522",
  }
@article{JLFattebert_1999a,
  author =      "J.-L. Fattebert",
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  }
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  author =      "B. Favini and R. Broglia and A. D{i~M}ascio",
  title =       "Multigrid acceleration of second order {ENO} schemes from low
                 subsonic to high supersonic flows",
  journal =     "Int. J. Numer. Methods Fluids",
  volume =      "23",
  year =        "1996",
  pages =       "589--606",
  }
@incollection{BFavini_GGuj_1985a,
  author =      "B. Favini and G. Guj",
  title =       "{MG} techniques for staggered differences",
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  editor =      "D. J. Paddon and H. Holstein",
  series =      "The Institute of Mathematics and its Application Conference 
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  publisher =   "Clarendon Press",
  address =     "Oxford",
  year =        "1985",
  pages =       "253--262",
  }
@article{RPFedorenko_1961a,
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  volume =      "1",
  year =        "1961",
  pages =       "922--927",
  note =        "Also in U.S.S.R. Comput. Math. and Math. Phys., 1 (1962),
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  }
@article{RPFedorenko_1964a,
  author =      "R. P. Fedorenko",
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  journal =     "Z. Vycisl. Mat. i. Mat. Fiz.",
  volume =      "4",
  year =        "1964",
  pages =       "559--563",
  note =        "Also in U.S.S.R. Comput. Math. and Math. Phys., 4 (1964),
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  }
@article{GFenPaw_DRJOwen_1991a,
  author =      "G. Fen{~Paw} and D. R. J. Owen",
  title =       "Domain decomposition procedures for finite element analysis on
                 transputer based parallel computers",
  journal =     "Comput. Syst. Eng.",
  volume =      "2",
  year =        "1991",
  pages =       "451--460",
  }
@inproceedings{XFeng_1997a,
  author =      "X. Feng",
  title =       "A non-overlapping domain decomposition method for solving
                 elliptic problems by finite element methods",
  booktitle =   "Ninth International Conference on Domain Decomposition
                 Methods",
  editors =     "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
  publisher =   "DDM.org",
  address =     "Bergen",
  year =        "1997",
  pages =       "222--229",
  }
@phdthesis{RMFerencz_1989a,
  author =      "R. M. Ferencz",
  title =       "Element-by-Element Preconditioning Techniques for
                 Large-Scale, Vectorized Finite Element Analysis in
                 Nonlinear Solid and Structural Mechanics",
  school =      "Stanford University",
  address =     "Division of Applied Mechanics, Stanford, CA",
  year =        "1989",
  }
@inproceedings{RCFerguson_IGGraham_1997a,
  author =      "R. C. Ferguson and I. G. Graham",
  title =       "Multilevel adaptive methods for semilinear equations with
                 applications to device modelling",
  booktitle =   "Ninth International Conference on Domain Decomposition
                 Methods",
  editors =     "P. E. Bj{\/o}rstad and M. S. Espedal and D. E. Keyes",
  publisher =   "DDM.org",
  address =     "Bergen",
  year =        "1997",
  pages =       "745--752",
  }
@incollection{GFessler_1985a,
  author =      "G. Fessler",
  title =       "{\"U}berlegungen zu {M}ehrgitteralgorithmen auf {B}aumrechnern",
  booktitle =   "Rechnerarchitekturen f{\"u}r die numerische {S}imulation 
                 auf der {B}asis superschneller {L}{\"o}sungsverfahren {II}",
  editor =      "U. Trottenberg and P. Wypior",
  series =      "GMD--Studien Nr. 102",
  publisher =   "Gesellschaft f{\"u}r {M}athematik und {D}atenverarbeitung",
  address =     "St. Augustin",
  year =        "1985",
  pages =       "7--14",
  }
@article{DAField_YPressburger_1993a,
  author =      "D. A. Field and Y. Pressburger",
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  volume =      "36",
  year =        "1993",
  pages =       "893--908",
  }
@article{MRJFilho_NFFEbecken_1994a,
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  volume =      "5",
  year =        "1994",
  pages =       "369--374",
  }
@inproceedings{SJFink_SBBaden_1995a,
  author =      "S. J. Fink and S. B. Baden",
  title =       "Run time data distribution for block structured applications
                 on distributed memory computers",
  booktitle =   "Parallel Processing for Scientific Computing",
  editors =     "D. H. Bailey and P. E. Bj{\/o}rstad and J. R. Gilbert and
                 M. D. Mascagni and R. Schrieber and H. D. Simon and
                 V. J. Torczon and L. T. Watson",
  series =      "SIAM Proceedings",
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  year =        "1995",
  pages =       "762--767",
  }
@article{HFinnemann_JBrehm_EMichel_JVolkert_1988a,
  author =      "H. Finnemann and J. Brehm and E. Michel and J. Volkert",
  title =       "Multigrid solution of diffusion equations on distributed
                 memory multiprocessor systems",
  journal =     "Kerntechnik",
  volume =      "52",
  year =        "1988",
  pages =       "169--174",
  }
@article{HFinnemann_JBrehm_EMichel_JVolkert_1988b,
  author =      "H. Finnemann and J. Brehm and E. Michel and J. Volkert",
  title =       "Solution of the neutron diffusion equation through multigrid
                 methods implemented on a memory-coupled 25-processor system",
  journal =     "Parallel Comput.",
  volume =      "8",
  year =        "1988",
  pages =       "391--398",
  }
@article{SAFinogenov_YAKuznetsov_1988a,
  author =      "S. A. Finogenov and Yu. A. Kuznetsov",
  title =       "Two--stage fictitious component methods for solving the 
                 {D}irichlet boundary value problem",
  journal =     "Sov. J. Numer. Anal. Math. Modeling",
  volume =      "3",
  year =        "1988",
  pages =       "301--323",
  }
@article{GFiorentino_SSerra_1991a,
  author =      "G. Fiorentino and S. Serra",
  title =       "Multigrid methods for {T}oeplitz matrices",
  journal =     "Calcolo",
  volume =      "28",
  year =        "1991",
  pages =       "283--305"
  }
@inproceedings{GFiorentino_SSerra_1996a,
  author =      "G. Fiorentino and S. Serra",
  title =       "A $\tau$ algebra based multiiterative solver for (block)
                 {T}oeplitz systems",
  booktitle =   "AMLI'96:  Proceedings of the Conference on Algebraic
                 Multilevel Iteration Methods with Applications",
  editors =     "O. Axelsson and B. Polman",
  volume =      "1",
  publisher =   "University of Nijmegan",
  address =     "Nijmegan, The Netherlands",
  year =        "1996",
  pages =       "129--140",
  }
@article{GFiorentino_SSerra_1996b,
  author =      "G. Fiorentino and S. Serra",
  title =       "Multigrid methods for symmetric positive definite block
                 {T}oeplitz matrices with nonnegative generating functions",
  journal =     "SIAM J. Sci. Comput.",
  volume =      "17",
  year =        "1996",
  pages =       "1068--1081",
  }
@article{BFischer_FPeherstorfer_2001a,
  author =      "B. Fischer and F. Peherstorfer",
  title =       "Chebyshev approximation via polynomial mappings and the
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  volume =      "12",
  year =        "2001",
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                 Patera",
  title =       "Spectral element methods:  algorithms and architectures",
  booktitle =   "First International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations",
  editor =      "R. Glowinski and G. H. Golub and G. A. Meurant and
                 J. P{\'e}riaux",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1988",
  pages =       "173--197",
  }
@inproceedings{PFFischer_1994a,
  author =      "P. F. Fischer",
  title =       "Parallel domain decomposition for incompressible fluid
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  booktitle =   "Domain Decomposition Methods in Science and Engineering:
                 The Sixth International Conference on Domain Decomposition",
  editors =     "A. Quarteroni and J. P{\'e}riaux and Yu. A. Kuznetsov and
                 O. B. Widlund",
  series =      "Contemporary Mathematics",
  volume =      "157",
  publisher =   "American Mathematical Society",
  address =     "Providence, Rhode Island",
  year =        "1994",
  pages =       "313--322",
  }
@phdthesis{AFischler_1985a,
  author =      "A. Fischler",
  title =       "R{\'e}solution du probl{\`e}me de {S}tokes par une 
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                 {\`a} la simultation num{\'e}rique d'{\'e}coulements de 
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  school =      "Univ. P. et M. Curie, Paris",
  note =        "Th{\`e}se de 3e cycle",
  year =        "1985",
  }
@article{GJFix_MDGunzburger_1980a,
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@article{CAJFletcher_JGBain_1991a,
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  volume =      "19",
  year =        "1991",
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  }
@inproceedings{JFlores_1988a,
  author =      "J. Flores",
  title =       "Simulation of transonic viscous wing and wing--fuselage 
                 flows using zonal methods",
  booktitle =   "First International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations",
  editor =      "R. Glowinski and G. H. Golub and G. A. Meurant and
                 J. P{\'e}riaux",
  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1988",
  pages =       "381--416",
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@incollection{JFlower_SOtto_MSalana_1988a,
  author =      "J. Flower and S. Otto and M. Salana",
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                 parallel processors",
  booktitle =   "Parallel Computers and their Impact on Mechanics",
  editor =      "A. K. Noor",
  publisher =   "The American Society of Mech. Engineers",
  address =     "New York",
  volume =      "AMD vo. 86",
  year =        "1988",
  pages =       "239--250",
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@inproceedings{MFluck_RHerbin_1989a,
  author =      "M. Fl{\"u}ck and R. Herbin",
  title =       "Implementation of a parallel domain decomposition -- 
                 multigrid method for structured finite element problems",
  booktitle =   "Preliminary Proc. of the 4th Copper Mountain Conference on
                 Multigrid Methods",
  volume =      "2",
  editor =      "J. Mandel and S. F. McCormick",
  publisher =   "Computational Mathematics Group, Univ. of Colorado",
  address =     "Denver",
  year =        "1989",
  pages =       "61--67",
  }
@incollection{HFoerster_KStuben_UTrottenberg_1981a,
  author =      "H. Foerster and K. St{\"u}ben and U. Trottenberg",
  title =       "Non--standard multigrid techniques using checkered relaxation
                 and intermediate grids",
  booktitle =   "Elliptic Problem Solvers",
  publisher =   "Academic Press",
  editor =      "M. H. Schultz",
  address =     "New York",
  year =        "1981",
  pages =       "285--300"
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@inproceedings{HFoerster_KWitsch_1982a,
  author =      "H. Foerster and K. Witsch",
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                 on rectangular domains:  {MG}00 ({R}elease 1)",
  booktitle =   "Multigrid Methods",
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  volume =      "960",
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  address =     "Berlin",
  year =        "1982",
  pages =       "427--460"
  }
@article{HFoerster_KWitsch_1981b,
  author =      "H. Foerster and K. Witsch",
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                 on rectangular domains",
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  volume =      "XXIII",
  year =        "1981",
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@incollection{TWFogwell_FBrankhagen_1989a,
  author =      "T. W. Fogwell and F. Brankhagen",
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                 multiphase flow equations",
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  booktitle =   "Nonlinear Hyperbolic Equations -- Theory, Computation Methods,
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  series =      "Notes on Numer. Fluid Mech.",
  volume =      "24",
  publisher =   "Vieweg",
  address =     "Braunschweig",
  year =        "1989",
  pages =       "139--148",
  }
@incollection{CKForester_1982a,
  author =      "C. K. Forester",
  title =       "Advantages of multi--grid methods for certifying the 
                 accuracy of {PDE} modeling",
  booktitle =   "Multigrid Methods",
  editor =      "H. Lomax",
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  address =     "Moffet Field, CA",
  year =        "1982",
  pages =       "23--45",
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@inproceedings{SForesti_SHassanzadeh_VSonnad_1994a,
  author =      "S. Foresti and S. Hassanzadeh and V. Sonnad",
  title =       "A parallel element--by--element method for large--scale
                 computations with h -- p-- finite elements",
  booktitle =   "Domain Decomposition Methods in Science and Engineering:
                 The Sixth International Conference on Domain Decomposition",
  editors =     "A. Quarteroni and J. P{\'e}riaux and Yu. A. Kuznetsov and
                 O. B. Widlund",
  series =      "Contemporary Mathematics",
  volume =      "157",
  publisher =   "American Mathematical Society",
  address =     "Providence, Rhode Island",
  year =        "1994",
  pages =       "367--373",
  }
@book{BFornberg_1996a,
  author =      "B. Fornberg",
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  publisher =   "SIAM",
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  author =      "M. Fortin and R. Aboulaich",
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  booktitle =   "First International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations",
  editor =      "R. Glowinski and G. H. Golub and G. A. Meurant and
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  publisher =   "SIAM",
  address =     "Philadelphia",
  year =        "1988",
  pages =       "333--349",
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@book{MFortin_RGlowinski_1983a,
  author =      "M. Fortin and R. Glowinski",
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  booktitle =   "Multigrid Methods VI",
  editors =     "E. Dick and K. Riemslagh and J. Vierendeels",
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  publisher =   "Springer--Verlag",
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@inproceedings{GCFox_1986a,
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@book{GCFox_MAJohnson_GALyzenga_SWOtto_JKSalmon_DWWalker_1988a,
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  year =        "1988",
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@inproceedings{JMFrailong_JPakleza_1979a,
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@incollection{BFranke_HOLeilich_1985a,
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  year =        "1985",
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@book{AFrati_FPasquarelli_AQuarteroni_1990a,
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@inproceedings{POFrederickson_1996a,
  author =      "P. O. Frederickson",
  title =       "High performance parallel multigrid algorithms for
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  year =        "1996",
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  author =      "P. O. Frederickson and O. A. McBryan",
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  editor =      "S. F. McCormick",
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  publisher=    "Marcel Dekker",
  address =     "New York",
  year =        "1988",
  pages =       "195--210"
  }
@article{POFrederickson_OAMcBryan_1991a,
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  year =        "1991",
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