Send mail to: mgnet@cs.yale.edu for the digests or bakeoff mgnet-requests@cs.yale.edu for comments or help Anonymous ftp repository: casper.cs.yale.edu (128.36.12.1) Today's editor: Craig Douglas (douglas-craig@cs.yale.edu) Today's topics: Current State of MGNet Some recent publications on multigrid stuff ------------------------------------------------------- From: douglas-craig@cs.yale.edu (Craig Douglas) Subject: Current State of MGNet Paul M. de Zeeuw has contributed his mgd9v routines to the repository: MGD9V is blackbox multigrid solver designed for linear systems resulting from the 9-point discretization of a general linear second-order elliptic partial differential equation in two dimensions. MGD9V is the implementation of a robust multigrid algorithm that does not deteriorate when either discontinuous diffusion coefficients or dominating first-order terms are present in the original differential equation. Important ingredients of the algorithm are: i) sawtooth multigrid cycling, ii) matrix-dependent gridtransfers, iii) incomplete line LU relaxation, iv) fully automatic Galerkin approximation of coarse grid matrices. However, the user is not bothered by this. The user needs to supply hardly more than the linear system, the desired tolerance and enough workspace. ------------------------------------------------------- From: pieth@cwi.nl Subject: Some recent publications on multigrid stuff @book{BKoren_booklet, author = {B. Koren}, title = {Multigrid and defect correction for the steady {N}avier-{S}tokes equations, application to aerodynamics}, series = {CWI Tracts}, volume = 74, publisher = {CWI}, address = {Amsterdam}, year =1991, } @article{BKoren_PWHemker_91a, author = {B. Koren and P.W. Hemker}, title = {Damped, direction-dependent multigrid for hypersonic flow computations}, journal = {Appl. Numer. Math.}, volume = 7, pages = {309-328}, year = 1991, } @inproceedings{BKoren_91a, author = {B. Koren}, title = {A computational tool for analyzing strong viscous-inviscid interactions in gasdynamics}, booktitle = {Proceedings of the CP90 Europhysics Conference on Computational Physics, Amsterdam, 1990}, pages = {395-399}, editor ={A.G. Tenner}, publisher = {World Scientific}, address = {Singapore}, year =1991, } @inproceedings{BKoren_91b, author = {B. Koren}, title = {Low-diffusion rotated upwind schemes, multigrid and defect correction for steady, multi-dimensional {E}uler flows}, other = {Proceedings of the Third European Conference on Multigrid Methods, Bonn, 1990}, series = {International Series of Numerical Mathematics}, volume = 98, booktitle = {Multigrid Methods III}, pages = {265-276}, editor = {W. Hackbusch and U. Trottenberg}, publisher = {Birkh\"auser}, address = {Basel}, year = 1991, } @inproceedings{BKoren_PWHemker_91b, author = {B. Koren and P.W. Hemker}, title = {Multi-dimensional upwind schemes, multigrid and defect correction for accurate and efficient {E}uler flow computations}, booktitle = {Aerodynamics for Space Vehicles}, editor = {W. Berry and B. Battrick}, other = {Proceedings of the First European Symposium}, year = 1991, publisher = {European Space Agency}, address = {ESTEC, Noordwijk, The Netherlands}, pages = {129-134}, } @techreport{BKoren_PWHemker_91e, year = 1991, author = {P.W. Hemker and B. Koren}, title = {Efficient multi-dimensional upwinding for the steady {E}uler equations}, institution = {CWI}, address = {Amsterdam}, number = {NM-R9107}, } @inproceedings{BKoren_EvdMaarel_91c, author = {B. Koren and H.T.M. van der Maarel}, title = {Analysis of transonic shock configurations by a solution-adaptive multigrid technique}, booktitle = {Prel.\ Proceedings of the Fourth International Symposium on Computational Fluid Dynamics, Davis, California}, year = {1991}, pages = {640-645}, } @inproceedings{PWHemker_JMolenaar_91a, author = {P.W. Hemker and J. Molenaar}, title = {An adaptive multigrid approach for the solution of the {2D} semiconductor equations}, booktitle = {Multigrid Methods III}, editor = {W. Hackbusch and U. Trottenberg}, series = {International Series of Numerical Mathematics}, volume = 98, publisher = {Birkh\"auser Verlag}, address = {Basel}, year = 1991, } @inproceedings{JMolenaar_91d, author = {J. Molenaar}, title = {A two-grid analysis of the combination of mixed finite elements and {V}anka-type relaxation}, booktitle = {Multigrid Methods III}, editor = {W. Hackbusch and U. Trottenberg}, series = {International Series of Numerical Mathematics}, volume = 98, publisher = {Birkh\"auser Verlag}, address = {Basel}, year = 1991, } @techreport{JMolenaar_91a, author = {J. Molenaar}, title = {A two-grid analysis of the combination of mixed finite elements and {V}anka type relaxation}, number = {NM-R9102}, institution = {CWI}, address = {Amsterdam}, year = {1991}, } @techreport{JMolenaar_91b, author = {J. Molenaar}, title = {Adaptive multigrid applied to a bipolar transistor problem}, number = {NM-R9115}, institution = {CWI}, address = {Amsterdam}, year = {1991}, } @techreport{HDeconinck_PWHemker_91, author = {H. Deconinck and P.W. Hemker and Ch. Hirsch and M. Napolitano and P. Larsen}, title = {Solution Adaptive {N}avier-{S}tokes Solvers with Grid Decoupled Upwind Schemes and Multigrid Acceleration}, other = {BRITE/EURAM Progress Report}, institution = {Von Karman Institute}, address = {Rhode St. Genese}, year = 1991, } @article{DeZeeuw_91a, author = {P.M. de Zeeuw}, title = {Nonlinear multigrid applied to a one-dimensional stationary semiconductor model}, journal = {SIAM J. Sci. Stat. Comput.}, year = {to appear, 1991}, } -------------------------------------------------------