Additive Schwarz method for mortar discretization of elliptic problems with P1 nonconforming finite elements

被引：16

作者：

Marcinkowski, L ^{[1
]}

机构：

[1] Warsaw Univ, Dept Math Informat & Mech, Inst Appl Math, PL-02097 Warsaw, Poland

来源：

BIT NUMERICAL MATHEMATICS | 2005年 / 45卷 / 02期

关键词：

Mortar method; nonconforming Crouzeix-Raviart element; domain decomposition; preconditioner; additive Schwarz method (ASM);

D O I：

10.1007/s10543-005-7123-x

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

An additive Schwarz preconditioner for nonconforming mortar finite element discretization of a second order elliptic problem in two dimensions with arbitrary large jumps of the discontinuous coefficients in subdomains is described. An almost optimal estimate of the condition number of the preconditioned problem is proved. The number of preconditioned conjugate gradient iterations is independent of jumps of the coefficients and is proportional to (1+log(H/h)), where H,h are mesh sizes.

引用

页码：375 / 394

页数：20

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