External finite-element approximations of eigenfunctions in the case of multiple eigenvalues
type: Item
instance of: scholarly article
title: External finite-element approximations of eigenfunctions in the case of multiple eigenvalues
zbMATH Open document ID: 0811.65090
DOI: 10.1016/0377-0427(94)90289-5
author: Alexander Ženíšek
author: Michèle Vanmaele
published in: Journal of Computational and Applied Mathematics
publication date: 1994-09-22T00:00:00Z
review text: The paper deals with the finite element analysis of second-order elliptic eigenvalue problems when the domains \(\Omega_ h\) are not contained in the original domain \(\Omega\subset \mathbb{R}^ 2\). The main aim of the paper is to study the convergence of approximate eigenfunctionals in the case of multiple exact eigenvalues, extending an approach formerly established by the authors in the case of simple eigenvalues. It differs from the approach of \textit{I. Babuška} and \textit{J. E. Osborn} [Math. Comput. 52, No. 186, 275-297 (1989; Zbl 0675.65108)] in that no use is made of operator theory.
Mathematics Subject Classification ID: 65N25
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35P15
zbMATH DE Number: 643743
zbMATH Keywords: eigenfunctions
zbMATH Keywords: finite element
zbMATH Keywords: second-order elliptic eigenvalue problems
zbMATH Keywords: convergence
zbMATH Keywords: multiple exact eigenvalues
zbMATH Keywords: simple eigenvalues
reviewed by: Waldemar Velte
MaRDI profile type: Publication
full work available at URL: 0377-0427(94)90289-5
OpenAlex ID: W2074344091
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description: scientific article; zbMATH DE number 643743