Domain decomposition methods for mixed finite element approximations of wave problems

被引：4

作者：

Dean, EJ ^{[1
]}

Glowinski, R

机构：

[1] Univ Houston, Dept Math, Houston, TX 77204 USA

[2] Univ Paris 06, Paris, France

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1999年 / 38卷 / 7-8期

基金：

美国国家科学基金会;

关键词：

domain decomposition; mixed finite elements; wave problems; Lagrange multipliers;

D O I：

10.1016/S0898-1221(99)00251-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main goal of this paper is to address the numerical solution of wave problems by a numerical method combining a mixed finite element approximation and domain decomposition, possibly with nonmatching grids. The method to be discussed is well suited to heterogeneous media. Due to the use of mixed finite element approximations, crossing vertices do not introduce additional difficulties so that box domain decompositions are as easy to treat as striped decompositions. Interface conditions are treated by a method combining Lagrange multipliers and a conjugate gradient algorithm. The results of numerical experiments will be presented. (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

页码：207 / 214

页数：8