Multigrid methods for the symmetric interior penalty method on graded meshes

被引：31

作者：

Brenner, S. C. ^{[1
,2
]}

Cui, J. ^{[1
]}

Sung, L. -Y ^{[1
]}

机构：

[1] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA

[2] Louisiana State Univ, Ctr Computat & Technol, Baton Rouge, LA 70803 USA

来源：

NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS | 2009年 / 16卷 / 06期

基金：

美国国家科学基金会;

关键词：

symmetric interior penalty method; graded meshes; multigrid; FINITE-ELEMENT-METHOD; BOUNDARY-VALUE-PROBLEMS; DISCONTINUOUS GALERKIN METHODS; 2-DIMENSIONAL CURL-CURL; ELLIPTIC-EQUATIONS; V-CYCLE; CONVERGENCE; ELASTICITY; DOMAINS; APPROXIMATIONS;

D O I：

10.1002/nla.630

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The symmetric interior penalty (SIP) method on graded meshes and its fast solution by multigrid methods are studied in this paper. We obtain quasi-optimal error estimates in both the energy norm and the L-2 norm for the SIP method, and prove uniform convergence of the W-cycle multigrid algorithm for the resulting discrete problem. The performance of these methods is illustrated by numerical results. Copyright (C) 2009 John Wiley & Sons, Ltd.

引用

页码：481 / 501

页数：21

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