Send mail to: mgnet@cs.yale.edu for the digests mgnet-requests@cs.yale.edu for comments or help Anonymous ftp repository: casper.cs.yale.edu (128.36.12.1) ftp.cerfacs.fr (138.63.200.33) World Wide Web: http://na.cs.yale.edu/mgnet/www/mgnet.html or http://www.cerfacs.fr/~douglas/mgnet.html Today's editor: Craig Douglas (douglas-craig@cs.yale.edu) Volume 5, Number 7 (approximately July 31, 1995) Today's topics: Various conferences of interest Conference on Domain Decomposition Methods New Software Package for Sparse Linear Systems Available in WWW Some new entries for the bibliography (Vandewalle) Some of the new entries in the bibliography ------------------------------------------------------- Date: Mon, 31 Jul 1995 23:59:59 +0500 From: douglas-craig@CS.YALE.EDU (Craig Douglas) Subject: Various conferences of interest There will be a number of conferences of interest to this group in 1995/1996. Among those that are currently admitting to existence are the following: Oct. 10-12 Multigrid Tutorial Rehovot, Israel Oct. 15-19 Parallel Algorithms Wuhan, China May 13-17 Parallel Multigrid Methods near Salzburg, Austria June 3- 8 Domain Decomposition Bergen, Norway June 11-14 CERFACS Iterative Methods Workshop Toulouse, France * June 13-15 Algebraic Multilevel Iteration Methods Nijmegen, Netherlands * Full papers for the Axelsson's meeting in Nijmegen are due August 31, 1995 (LaTeX by e-mail to axelsson@sci.kun.nl and a hard copy by regular mail to Faculty of Mathematics and Informatica; Toernooiveld 1, NL-6525 ED Nijmegen; The Netherlands). ------------------------------------------------------- Date: Tue, 11 Jul 1995 15:14:56 +0200 From: Petter Bjorstad Subject: Conference on Domain Decomposition Methods 1st ANNOUNCEMENT and CALL for PAPERS NINTH INTERNATIONAL CONFERENCE ON DOMAIN DECOMPOSITION METHODS When: 3rd - 8th June 1996 Where: By the Hardanger Fjord, near Bergen, NORWAY. Summary: Domain Decomposition (DD) has received significant attention in scientific and engineering computing because it is not only a computing strategy suitable to high performance computing systems, but also refers to a broad class of effective numerical methods for solving large scale mathematical- physical problems from sciences and engineering. The conference will feature invited lectures, selected contributed papers, and poster presentations. We invite contributions on all aspects of DD-methods, including numerical analysis of DD methods, block and substructuring methods, multigrid and multilevel methods, fictitious domain methods, DD methods for high order and spectral methods, DD methods for nonlinear and time dependent problems, DD methods in computational fluid dynamics and structural mechanics, graph decomposition, general iterative and preconditioning methods, strategies and technologies of high performance computing, parallel implementations, software developments, and industrial applications. CONFERENCE DEADLINES: Abstracts: 26. January 1996 (1 page abstract) The conference is organized by the University of Bergen. ORGANIZING COMMITTEE: Petter E. Bj{\o}rstad, Magne Espedal, Merete Sofie Eikemo, Randi Moe and Synn{\o}ve S. Palmstr{\o}m. SCIENTIFIC COMMITTEE: Petter E. Bj{\o}rstad (Bergen), James Bramble (Ithaca), Tony Chan (Los Angeles), Peter Deuflhard (Berlin), Roland Glowinski (Houston), David Keyes (Virginia), Yuri Kuznetsov (Moscow), Jacques Periaux (St Cloud), Oli vier Pirronneau (Paris), Alfio Quarteroni (Milano), Zhongci Shi (Beijing), Wolfgang Wendland (Stuttgart), Olof Widlund (New York), Jinchao Xu (Pennsylvania). CONTACT INFORMATION: Mrs Synn{\o}ve S. Palmstr{\o}m Tel.: +47 55 54 41 70 DDM9 Conference secretary Fax.: +47 55 54 41 99 Department of Informatics/Parallab Email: dd9@ii.uib.no Hxyteknologisenteret WWW: http://www.ii.uib.no/dd9/ N-5020 Bergen, Norway ------------------------------------------------------- From: Tomas Skalicky Date: Thu, 20 Jul 95 20:19:40 +0200 Subject: New Software Package for Sparse Linear Systems Available in WWW LASPack, a package for solving large sparse systems of linear equations like those arising from discretization of partial differential equations, is now available in WWW. Main features: - The primary aim of LASPack is the implementation of efficient iterative methods for the solution of systems of linear equations. All routines and data structures are optimized for effective usage of resources especially with regard to large sparse matrices. The package can be accessed from an application through a straightforward interface defined in the form of procedure calls. - Beside the obligatory Jacobi, succesive over-relaxation, Chebyshev, and conjugate gradient solvers, LASPack contains selected state-of-the-art algorithms which are commonly used for large sparse systems: - CG-like methods for non-symmetric systems: CGN, GMRES, BiCG, QMR, CGS, and BiCGStab, - multilevel methods such as multigrid and conjugate gradient method preconditioned by multigrid and BPX preconditioners. All above solvers are applicable not only for the positive definite or non-symmetric matrices, but are also adopted for singular systems (e.g. arising from discretization of Neumann boundary value problems). - The implementation is based on an object-oriented approach (although it has been programmed in C). Vectors and matrices are defined as new data types in connection with the corresponding supporting routines. The basic operations are implemented so that they allow the programming of linear algebra algorithms in a natural way. - LASPack is extensible in a simple manner. An access to the internal representation of vectors and matrices is not necessary and is, as required of the object-oriented programming, avoided. This allows an improvement of algorithms or a modification of data structures with no adjustment of application programs using the package. - LASPack is written in ANSI C and is thus largely portable. The source code and the documentation of LASPack is available in WWW at the following URLs: - the distribution file http://www.tu-dresden.de/mwism/skalicky/laspack-1.12.tar.Z ftp://ftp.netlib.org/linalg/laspack-1.12.tar.Z - the manual as HTML document http://www.tu-dresden.de/mwism/skalicky/laspack/laspack.html - the postscript version of the manual http://www.tu-dresden.de/mwism/skalicky/laspack1.ps.Z http://www.tu-dresden.de/mwism/skalicky/laspack2.ps.Z You may also contact me by e-mail under skalicky@msmfs1.mw.tu-dresden.de. Regards, Tomas Skalicky Dresden University of Technology Institute for Fluid Mechanics Mommsenstrasse 13 D-01062 Dresden Germany Editor's Note: If you have trouble getting this package, let me know and ------------- maybe the author will put a copy on MGNet. ------------------------------------------------------- Date: Tue, 18 Jul 1995 16:44:46 -0700 From: stefan@ama.caltech.edu (Stefan Vandewalle) Subject: Some new entries for the bibliography (Vandewalle) @ARTICLE {hort:vdw:95, AUTHOR = "Horton, G. and Vandewalle, S.", TITLE = "A Space-Time Multigrid Method for Parabolic {P.D.E.}S", MONTH = jul, JOURNAL= sisc, VOLUME = 16, NUMBER = 4, YEAR = 1995, PAGES = {848--864} } @ARTICLE {vdw:hort:95a, AUTHOR = "Vandewalle, S. and Horton, G.", TITLE = "Fourier Mode Analysis of the Multigrid Waveform Relaxation and Time-Parallel Multigrid Methods", YEAR = 1995, VOLUME = 54, JOURNAL= {Computing}, NUMBER = 4, PAGES = {317--330} } @ARTICLE{hort:vdw:worl:95, AUTHOR = "Horton, G. and Vandewalle, S. and Worley, P.", TITLE = "An algorithm with polylog parallel complexity for solving parabolic partial differential equations", MONTH = may, YEAR = 1995, JOURNAL= sisc, VOLUME = 16, NUMBER = 3, PAGES = {531--541} } Editor's Note: These will be reformatted and put in the bibliography ------------- shortly. ------------------------------------------------------- Date: Mon, 31 July 1995 14:19:28 -0400 From: douglas-craig@CS.YALE.EDU (Craig Douglas) Subject: Some of the new entries in the bibliography \bibitem{PAngot_MLaugier_1994a} {\sc P.~Angot and M.~Laugier}, {\em The {FIC} method of conservative connection between nested subdomains for an ocean circulation model}, C.R. Acad. Sci. II, Mec. Phys. Chim. Astron., 319 (1994), pp.~993--1000. \bibitem{AArnone_RPacciani_ASestini_1994a} {\sc A.~Arnone, R.~Pacciani, and A.~Sestini}, {\em Multigrid computations of unsteady rotor--stator interaction using the {N}avier--{S}tokes equations}, in Proceedings of the 1994 International Mechanical Engineering Congress and Exposition. Unsteady Flows in Aeropropulsion American Society of Mechanical Engineers, Aerospace Division, vol.~40, New York, NY, 1994, ASME, pp.~87--96. \bibitem{AAverbuch_EGabber_SItzikowitz_BShoham_1994a} {\sc A.~Averbuch, E.~Gabber, S.~Itzikowitz, and B.~Shoham}, {\em On the parallel elliptic single/multigrid solutions about aligned and nonaligned bodies using the virtual machine for multiprocessors}, Scientific Programming, 3 (1994), pp.~13--32. \bibitem{MBaker_1995a} {\sc M.~Baker}, {\em Localization in two dimensional {SU}(2) lattice gauge theory and a new multigrid method}, Int. J. Mod. Phys. C, (Phys. Comput.), 6 (1995), pp.~85--104. \bibitem{SRMBarros_TKauranne_1994a} {\sc S.~R.~M. Barros and T.~Kauranne}, {\em Parallelization of global spectral weather models}, Parallel Comput., 20 (1994), pp.~1335--1356. \bibitem{IPBoglaev_VVSirotkin_JDLavers_1995a} {\sc I.~P. Boglaev, V.~V. Sirotkin, and J.~D. Lavers}, {\em The computation of transient 2--{D} eddy current problem by domain decomposition algorithms}, Math. Comput. Model., 21 (1995), pp.~39--51. \bibitem{JHBramble_DYKwak_JEPasciak_1994a} {\sc J.~H. Bramble, D.~Y. Kwak, and J.~E. Pasciak}, {\em Uniform convergence of multigrid {V}--cycle iterations for indefinite and nonsymmetric problems}, SIAM J. Numer. Anal., 31 (1994), pp.~1746--1763. \bibitem{ABrandt_1994a} {\sc A.~Brandt}, {\em Rigorous quantitative analysis of multigrid, {I}: {C}onstant coefficients two--level cycle with {$L_2$}--norm}, SIAM J. Numer. Anal., 31 (1994), pp.~1695--1730. \bibitem{ABrandt_VMikulinsky_1995a} {\sc A.~Brandt and V.~Mikulinsky}, {\em On recombining iterants in multigrid algorithms and problems with small islands}, SIAM J. Sci. Comput., 16 (1995), pp.~20--28. \bibitem{SCBrenner_1995a} {\sc S.~C. Brenner}, {\em A two-level additive schwarz preconditioner for the stationary {S}tokes equations}, Adv. Comput. Math., 4 (1995), pp.~111--126. \bibitem{MBrucoli_ADeRoma_MLaScala_MTrovato_1994a} {\sc M.~Brucoli, A.~De Roma, M.~La Scala, and M.~Trovato}, {\em Parallel in time method based on shifted {P}icard iterations for power system transient stability analysis}, Eur. Trans. Electr. Power Eng., 4 (1994), pp.~525--532. \bibitem{CByun_GPGuruswamy_1994a} {\sc C.~Byun and G.~P. Guruswamy}, {\em Wing--body aeroelasticity using finite--difference fluid/finite--element structural equations on parallel computers}, in Collection of Technical Papers - Proceedings of the AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, vol.~3, New York, NY, 1994, AIAA, pp.~1356--1365. \bibitem{JPCaltagirone_KKhadra_PAngot_1995a} {\sc J.~P. Caltagirone and K.~Khadra abd P.~Angot}, {\em On a local multigrid mesh refinement method for solving {N}avier {S}tokes equations}, C.R. Acad. Sci. II, Mec. Phys. Chim. Astron., 320 (1995), pp.~295--302. \bibitem{RMAlChalabi_PJTurinsky_1994a} {\sc R.~M.~Al Chalabi and P.~J. Turinsky}, {\em Application of multigrid method to solving the {NEM} form of multigroup neutron diffusion equation}, Trans. Am. Nucl. Soc., 71 (1994), pp.~259--261. \bibitem{PCignoni_DLaforenza_RPerego_RScopigno_CMontani_1995a} {\sc P.~Cignoni, D.~Laforenza, R.~Perego, R.~Scopigno, and C.~Montani}, {\em Evaluation of parallelization strategies for an incremental {D}elaunay triangulator in {E}**3}, Concurrency, Pract. Exp., 7 (1995), pp.~61--80. \bibitem{PECrandall_MJQuinn_1994a} {\sc P.~E. Crandall and M.~J. Quinn}, {\em Three dimensional grid partitioning for network parallel processing}, in 22nd Annual 1994 ACM Computer Science Conference. Scaling Up: Meeting the Challenge of Complexity in Real World Computing Applications. Proceedings, 1994, pp.~210--217. \bibitem{ACristofolini_CABorghi_1995a} {\sc A.~Cristofolini and Carlo C.~A.~Borghi}, {\em Difference method for the solution of the electrodynamic problem in a magnetohydrodynamic field}, IEEE Trans. Magn., 31 (1995). \bibitem{PICrumpton_GJShaw_AFWare_1995a} {\sc P.~I. Crumpton, G.~J. Shaw, and A.~F. Ware}, {\em Discretisation and multigrid solution of elliptic equations with mixed derivative terms and strongly discontinuous coefficients}, J. Comput. Phys., 116 (1995), pp.~343--358. \bibitem{DDabdub_JHSeinfeld_1994a} {\sc D.~Dabdub and J.~H. Seinfeld}, {\em Air quality modeling on massively parallel computers}, Atmospheric Environment, 28 (1994). \bibitem{JDeKeyser_DRoose_1995a} {\sc J.~De{K}eyser and D.~Roose}, {\em Run--time load balancing techniques for a parallel unstructured multi--grid {E}uler solver with adaptive grid refinement}, Parallel Comput., 21 (1995). \bibitem{JEDendy_CCTazartes_1995a} {\sc J.~E. Dendy and C.~C. Tazartes}, {\em Grandchild of the frequency decomposition multigrid method}, SIAM J. Sci. Comput., 16 (1995). \bibitem{FDesprez_MGarbey_1995a} {\sc F.~Desprez and M.~Garbey}, {\em Numerical simulation of a combustion problem on a {P}aragon machine}, Parallel Comput., 21 (1995). \bibitem{MDormanns_HUHeiss_1995a} {\sc M.~Dormanns and H.~U. Heiss}, {\em Partitioning and mapping of large {FEM} graphs by self organization}, in Proceedings Euromicro Workshop on Parallel and Distributed Processing, Los Alamitos, CA, 1995, IEEE Comput. Soc. Press. \bibitem{FDurst_LKadinski_MSchafer_1995a} {\sc F.~Durst, L.~Kadinski, and M.~Schafer}, {\em A multigrid solver for fluid flow and mass transfer coupled with grey body surface radiation for the numerical simulation of chemical vapor deposition processes}, J. Cryst. Growth, 146 (1995). \bibitem{MJEppstein_DEDougherty_1994a} {\sc M.~J. Eppstein and D.~E. Dougherty}, {\em Comparative study of {PVM} workstation cluster implementations of a two--phase subsurface flow model}, Advances in Water Resources, 17 (1994). \bibitem{YEscaig_GTouzot_MVayssade_1994a} {\sc Y.~Escaig, G.~Touzot, and M.~Vayssade}, {\em Parallelization of a multilevel domain decomposition method}, Comput. Syst. Eng., 5 (1994). \bibitem{REEwing_OPIliev_SDMargenov_PSVassilevski_1995a} {\sc R.~E. Ewing, O.~P. Iliev, S.~D. Margenov, and P.~S. Vassilevski}, {\em Numerical study of three multilevel preconditioners for solving 2{D} unsteady {N}avier--{S}tokes equations}, Comput. Meth. Appl. Mech. Engrg., 121 (1995). \bibitem{CFarhat_FXRoux_1994b} {\sc C.~Farhat and F.-X. Roux}, {\em Implicit parallel processing in structural mechanics}, Comput. Mech. Adv., 2 (1994). \bibitem{CGaspar_1995a} {\sc C.~Gaspar}, {\em An iterative and multigrid solution of boundary integral equations}, Comput. Math. Appl., 29 (1995). \bibitem{WGeorge_RGBrickner_SLJohnsson_1994a} {\sc W.~George, R.~G. Brickner, and S.~L. Johnsson}, {\em {POLYSHIFT} communications software for the connection machine system {CM}--200}, Scientific Programming, 3 (1994). \bibitem{SGhosal_JMandel_RTezaur_1994a} {\sc S.~Ghosal, J.~Mandel, and R.~Tezaur}, {\em Automatic substructuring for domain decomposition using neural networks}, in 1994 IEEE International Conference on Neural Networks. IEEE World Congress on Computational Intelligence (Cat. No.94CH3429-8), vol.~6, New York, NY, 1994, IEEE. \bibitem{LGiraud_GMManzini_1994a} {\sc L.~Giraud and G.~M. Manzini}, {\em Parallel distributed implementations of 2{D} explicit {E}uler solvers high performance computing and networking}, in International Conference and Exhibition Proceedings, vol.~1: Applications 1994, Berlin, Germany, 1994, Springer Verlag. \bibitem{GGlobisch_1995a} {\sc G.~Globisch}, {\em {PARMESH} -- a parallel mesh generator}, Parallel Comput., 21 (1995). \bibitem{MGrabenstein_KPinn_1994a} {\sc M.~Grabenstein and K.~Pinn}, {\em Multigrid {M}onte {C}arlo algorithms for {SU}(2) lattice gauge theory: two versus four dimensions}, Phys. Rev. D, Part. Fields, 50 (1994). \bibitem{FAGreene_1994a} {\sc F.~A. Greene}, {\em Application of the multigrid solution technique to hypersonic entry vehicles}, J. Spacecraft and Rockets, 31 (1994). \bibitem{MGriebel_POswald_1995b} {\sc M.~Griebel and P.~Oswald}, {\em On the abstract theory of additive and multiplicative {S}chwarz algorithms}, Numer. Math., 70 (1995). \bibitem{MGriebel_POswald_1995a} \leavevmode\vrule height 2pt depth -1.6pt width 23pt, {\em Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems}, Adv. Comput. Math., 4 (1995), pp.~171--206. \bibitem{MGriebel_VThurner_1995a} {\sc M.~Griebel and V.~Thurner}, {\em The efficient solution of fluid dynamics problems by the combination technique}, Int. J. Numer. Methods Heat Fluid Flow, 5 (1995). \bibitem{DGGute_YHuang_SSPai_DHopkins_1994a} {\sc D.~G. Gute, Y.~Huang, S.~S. Pai, and D.~Hopkins}, {\em Isolating elasto--plastic material behavior using multilevel substructuring techniques in a parallel computing environment}, in Collection of Technical Papers - Proceedings of the AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, vol.~3, New York, NY, 1994, AIAA. \bibitem{GHaase_ULanger_AMeyer_SVNepomnyaschikh_1994a} {\sc G.~Haase, U.~Langer, A.~Meyer, and S.~V. Nepomnyaschikh}, {\em Hierarchical extension operators and local multigrid methods in domain decomposition preconditioners}, E. W. J. Numer. Math., 2 (1994). \bibitem{LHamandi_RLee_FOzguner_1995a} {\sc L.~Hamandi, R.~Lee, and F.~Ozguner}, {\em Review of domain decomposition methods for the implementation of {FEM} on massively parallel computers}, IEEE Antennas Propag. Mag., 37 (1995). \bibitem{WHeinrichs_1994c} {\sc W.~Heinrichs}, {\em Defect correction for the advection diffusion equation}, Comput. Methods Appl. Mech. Eng., 119 (1994). \bibitem{PWHemker_1995a} {\sc P.~W. Hemker}, {\em Sparse-grid finite-volume multigrid for 3{D}-problems}, Adv. Comput. Math., 4 (1995), pp.~83--110. \bibitem{GJHogenson_WPReinhardt_1995a} {\sc G.~J. Hogenson and W.~P. Reinhardt}, {\em Variational upper and lower bounds on quantum free energy and energy differences via path integral {M}onte {C}arlo}, J. Chem. Phys., 102 (1995). \bibitem{MJHolst_FSaied_1995a} {\sc M.~J. Holst and F.~Saied}, {\em Numerical solution of the nonlinear {P}oisson {B}oltzmann equation: developing more robust and efficient methods}, J. Comput. Chem., 16 (1995). \bibitem{CHHsu_RTLee_1994a} {\sc C.-H. Hsu and R.-T. Lee}, {\em Advanced multilevel solution for elastohydrodynamic lubrication circular contact problem}, Wear, 177 (1994). \bibitem{CHHsu_RTLee_1994b} \leavevmode\vrule height 2pt depth -1.6pt width 23pt, {\em Efficient algorithm for thermal elastohydrodynamic lubrication under rolling/sliding line contacts}, J. Tribol. Trans. ASME, 116 (1994). \bibitem{YHHwang_1995a} {\sc Y.-H. Hwang}, {\em Unstructured additive correction multigrid method for the solution of matrix equations}, Numerical Heat Transfer, Part B: Fundamentals, 27 (1995). \bibitem{JHIndik_RAIndik_TCCeta_1994a} {\sc J.~H. Indik, R.~A. Indik, and T.C. T.~C.~Cetas}, {\em Fast and efficient computer modeling of ferromagnetic seed arrays of arbitrary orientation for hyperthermia treatment planning}, Int. J. Radiat. Oncol. Biol. Phys., 30 (1994). \bibitem{WJanke_TSauer_1995a} {\sc W.~Janke and T.~Sauer}, {\em Application of the multicanonical multigrid {M}onte {C}arlo method to the two dimensional phi /sup 4/-model: autocorrelations and interface tension}, J. Stat. Phys., 78 (1995). \bibitem{WJanke_TSauer_1995b} \leavevmode\vrule height 2pt depth -1.6pt width 23pt, {\em Test of variational approximation for phi /sup 4/ quantum chain by {M}onte {C}arlo simulation}, Phys. Lett. A, 197 (1995). \bibitem{ZJohan_KKMathur_LSJohnsson_SLennart_TJRHughes_1994a} {\sc Z.~Johan, K.~K. Mathurand L.~S. Johnsson, S.~Lennart, and T.~J.~R. Hughes}, {\em Scalability of finite element applications on distributed--memory parallel computers}, Comput. Meth. Appl. Mech. Engrg., 119 (1994). \bibitem{PGCiarletJr_FLamour_BFSmith_1995a} {\sc P.~G.~Ciarlet Jr., F.~Lamour, and B.~F. Smith}, {\em On the influence of partitioning schemes on the efficiency of overlapping domain decomposition methods}, in Proceedings of the 5th Symposium on the Frontiers of Massively Parallel Computation. Frontiers of Massively Parallel Computation 1995, Los Alamitos, CA, 1995, IEEE, pp.~375--383. \bibitem{TKalkreute_1995a} {\sc T.~Kalkreuter}, {\em Spectrum of the {D}irac operator and multigrid algorithm with dynamical staggered fermions}, Phys. Rev. D, Part. Fields, 51 (1995). \bibitem{AEKanarachos_NGPantelelis_1994a} {\sc A.~E. Kanarachos and N.~G. Pantelelis}, {\em Multigrid scheme for the implicit solution of the compressible flow equations}, Comput. Mech., 14 (1994). \bibitem{JKo_AJKurdila_MPilant_1994a} {\sc J.~Ko, A.~J. Kurdila, and M.~Pilant}, {\em Wavelet galerkin multigrid methods}, in Collection of Technical Papers - Proceedings of the AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, vol.~1, New York, NY, 1994, AIAA. \bibitem{BKoren_1995a} {\sc B.~Koren}, {\em Condition improvement for point relaxation in multigrid, subsonic {E}uler flow computations}, Appl. Numer. Math., 16 (1995). \bibitem{BKoren_BVLeer_1995a} {\sc B.~Koren and B{.~van} Leer}, {\em Analysis of preconditioning and multigrid for {E}uler flows with low-subsonic regions}, Adv. Comput. Math., 4 (1995), pp.~127--144. \bibitem{RKornhuber_1994a} {\sc R.~Kornhuber}, {\em Monotone multigrid methods for elliptic variational inequalities. i}, Numer. Math., (1994). \bibitem{HCKu_1995a} {\sc H.-C. Ku}, {\em Solution of flow in complex geometries by the pseudospectral element method}, J. Comput. Phys., 117 (1995). \bibitem{HCKu_BRamaswamy_1995a} {\sc H.-C. Ku and B.~Ramaswamy}, {\em Multi grid domain decomposition approach for solution of {N}avier {S}tokes equations in primitive variable form}, Int. J. Numer. Meth. Engng., 38 (1995). \bibitem{HKuerten_BGeurts_1995a} {\sc H.~Kuerten and B.~Geurts}, {\em Multigrid acceleration of a block structured compressible flow solver}, J. Engrg. Math., 29 (1995). \bibitem{AKunoth_1995a} {\sc A.~Kunoth}, {\em Multilevel preconditioning -- {A}ppending boundary conditions by {L}agrange multipliers}, Adv. Comput. Math., 4 (1995), pp.~145--170. ------------------------------ End of MGNet Digest **************************