Two-level additive Schwarz preconditioners for nonconforming finite element methods-Reference-Cited by-同舟云学术

Two-level additive Schwarz preconditioners for nonconforming finite element methods

Published:1996 Issue:215 Volume:65 Page:897-921
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Brenner Susanne

Abstract

Two-level additive Schwarz preconditioners are developed for the nonconforming P1 finite element approximation of scalar second-order symmetric positive definite elliptic boundary value problems, the Morley finite element approximation of the biharmonic equation, and the divergence-free nonconforming P1 finite element approximation of the stationary Stokes equations. The condition numbers of the preconditioned systems are shown to be bounded independent of mesh sizes and the number of subdomains in the case of generous overlap.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1996-65-215/S0025-5718-96-00746-6/S0025-5718-96-00746-6.pdf

Reference19 articles.

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4. \bysame, A two-level additive Schwarz preconditioner for nonconforming plate elements, Numer. Math. 72 (1996), 419–447.

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