The preconditioned GMRES method for systems of coupled FEM-BEM equations

被引：7

作者：

Mund, P ^{[1
]}

Stephan, EP ^{[1
]}

机构：

[1] Univ Hannover, Inst Angew Math, D-30167 Hannover, Germany

来源：

ADVANCES IN COMPUTATIONAL MATHEMATICS | 1998年 / 9卷 / 1-2期

关键词：

Boundary Element; Boundary Element Method; GMRES Method; Hierarchical Basis; Boundary Integral Operator;

D O I：

10.1023/A:1018921003084

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze the generalized minimal residual method (GMRES) as a solver for coupled finite element and boundary element equations. To accelerate the convergence of GMRES we apply a hierarchical basis block preconditioner for piecewise linear finite elements and piecewise constant boundary elements. It is shown that the number of iterations which is necessary to reach a given accuracy grows only poly-logarithmically with the number of unknowns.

引用

页码：131 / 144

页数：14