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

被引：0
|
作者：
Patrick Mund
Ernst P. Stephan
机构：
[1] Universität Hannover,Institut für Angewandte Mathematik
来源：
Advances in Computational Mathematics | 1998年 / 9卷
关键词：
Boundary Element; Boundary Element Method; GMRES Method; Hierarchical Basis; Boundary Integral Operator;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：131 / 144
页数：13
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