External finite-element approximations of eigenfunctions in the case of multiple eigenvalues

DOI10.1016/0377-0427(94)90289-5zbMath0811.65090OpenAlexW2074344091MaRDI QIDQ1334751

Alexander Ženíšek, Michèle Vanmaele

Publication date: 22 September 1994

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(94)90289-5

zbMATH Keywords

convergencefinite elementeigenfunctionssimple eigenvaluesmultiple exact eigenvaluessecond-order elliptic eigenvalue problems

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

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Cites Work

• Estimation of the effect of numerical integration in finite element eigenvalue approximation
• Estimates for the Errors in Eigenvalue and Eigenvector Approximation by Galerkin Methods, with Particular Attention to the Case of Multiple Eigenvalues
• Finite Element-Galerkin Approximation of the Eigenvalues and Eigenvectors of Selfadjoint Problems
• External finite element approximations of eigenvalue problems
• Curved Elements in the Finite Element Method. I
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