Lower Bounds for Eigenvalues of Elliptic Operators by Overlapping Domain Decomposition

被引：0

作者：

Kuznetsov, Yuri A. ^{[1
]}

机构：

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

来源：

DOMAIN DECOMPOSITION METHODS IN SCIENCE AND ENGINEERING XVIII | 2009年 / 70卷

关键词：

D O I：

暂无

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we consider a new approach to estimation from below of the lowest eigenvalues of symmetric positive definite elliptic operators. The approach is based on the overlapping domain decomposition procedure and on the replacement of subdomain operators by special low rank perturbed scalar operators. The algorithm is illustrated by applications to model problems with mixed boundary conditions and strongly discontinuous coefficients.

引用

页码：307 / 314

页数：8

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