Algebraic multigrid for discontinuous Galerkin discretizations of heterogeneous elliptic problems-Reference-Cited by-同舟云学术

Algebraic multigrid for discontinuous Galerkin discretizations of heterogeneous elliptic problems

Published:2012-02-01 Issue:2 Volume:19 Page:367-388
ISSN:1070-5325
Container-title:Numerical Linear Algebra with Applications
language:en
Short-container-title:Numer. Linear Algebra Appl.

Author:

Bastian Peter¹,Blatt Markus¹,Scheichl Robert²

Affiliation:

1. Interdisziplinäres Zentrum für Wissenschaftliches Rechnen; Ruprechts-Karls-Universität Heidelberg; Im Neuenheimer Feld 368; 69120; Heidelberg; Germany

2. Department of Mathematical Sciences; University of Bath; Bath; BA2 7AY; U.K.

Publisher

Wiley

Subject

Applied Mathematics,Algebra and Number Theory

Reference44 articles.

1. An elliptic collocation-finite element method with interior penalties;Wheeler;SIAM Journal on Numerical Analysis,1978

2. An interior penalty finite element method with discontinuous elements;Arnold;SIAM Journal on Numerical Analysis,1982

3. A discontinuous hp finite element method for diffusion problems;Oden;Journal of Computational Physics,1998

4. A discontinuous hp finite element method for convection-diffusion problems;Baumann;Computer Methods in Applied Mechanics and Engineering,1999

5. Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems I;Rivière;Computational Geosciences,1999

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