Two-level additive Schwarz preconditioners for nonconforming finite element methods

被引：108

作者：

Brenner, SC ^{[1
]}

机构：

[1] CLARKSON UNIV,DEPT MATH & COMP SCI,POTSDAM,NY 13699

来源：

MATHEMATICS OF COMPUTATION | 1996年 / 65卷 / 215期

关键词：

domain decomposition; additive Schwarz preconditioner; nonconforming finite elements; Laplace equation; biharmonic equation; stationary Stokes equations;

D O I：

10.1090/S0025-5718-96-00746-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：897 / 921

页数：25

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