Stable boundary element domain decomposition methods for the Helmholtz equation

被引：21

作者：

Steinbach, O. ^{[1
]}

Windisch, M. ^{[1
]}

机构：

[1] Inst Numer Math, TU Graz, A-8010 Graz, Austria

来源：

NUMERISCHE MATHEMATIK | 2011年 / 118卷 / 01期

基金：

奥地利科学基金会;

关键词：

FETI;

D O I：

10.1007/s00211-010-0315-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a stable boundary element domain decomposition method to solve boundary value problems of the Helmholtz equation via a tearing and interconnecting approach. A possible non-uniqueness of the solution of local boundary value problems due to the appearance of local eigensolutions is resolved by using modified interface conditions of Robin type, which results in a Galerkin boundary element discretization which is robust for all local wave numbers. Numerical examples confirm the stability of the proposed approach.

引用

页码：171 / 195

页数：25

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