@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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