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A GSVD formulation of a domain decomposition method forplanar eigenvalue problems

Identifieur interne : 001300 ( Main/Exploration ); précédent : 001299; suivant : 001301

A GSVD formulation of a domain decomposition method forplanar eigenvalue problems

Auteurs : Timo Betcke [Royaume-Uni]

Source :

RBID : ISTEX:E8A9F90D7BBDD5AE71CEAF449C646AC37BDFF9A9

Abstract

In this article, we present a modification of the domain decomposition method of Descloux and Tolley for planar eigenvalue problems. Instead of formulating a generalized eigenvalue problem, our method is based on the generalized singular value decomposition. This approach is robust and at the same time highly accurate. Furthermore, we give an improved convergence analysis based on results from complex approximation theory. Several examples show the effectiveness of our method.

Url:
DOI: 10.1093/imanum/drl030


Affiliations:


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