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
收藏
页码：131 / 144
页数：14
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