Solution methods for the Poisson equation with corner singularities: Numerical results

被引：18

作者：

Cai, ZQ

Kim, S

Shin, BC

机构：

[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

[2] Ajou Univ, Dept Math, Suwon 442749, South Korea

[3] Changwon Natl Univ, Dept Appl Math, Chang Won 641773, South Korea

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2001年 / 23卷 / 02期

关键词：

corner singularity; finite element; multigrid;

D O I：

10.1137/S1064827500372778

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In [Z. Cai and S. Kim, SIAM J. Numer. Anal., 39 (2001), pp. 286-299], we developed a new finite element method using singular functions for the Poisson equation on a polygonal domain with re-entrant angles. Such a method first computes the regular part of the solution, then the stress intensity factor, and finally the solution itself. This paper studies solution methods for solving the system of linear equations arising from the discretization and focuses on numerical results including the finite element accuracy and the multigrid performance.

引用

页码：672 / 682

页数：11

共 11 条

[1] NEW ESTIMATES FOR MULTILEVEL ALGORITHMS INCLUDING THE V-CYCLE [J].