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
收藏
页码：171 / 195
页数：25
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