Estimates for the Errors in Eigenvalue and Eigenvector Approximation by Galerkin Methods, with Particular Attention to the Case of Multiple Eigenvalues

DOI10.1137/0724082zbMath0701.65042OpenAlexW2057292049MaRDI QIDQ3479461

John E. Osborn, Ivo M. Babuška

Publication date: 1987

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0724082

zbMATH Keywords

eigenvalueeigenvectorfinite element methodsasymptotic behaviourselfadjoint problemsGalerkin methodsmultiple eigenvaluesrefined error estimates

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Numerical solutions to equations with linear operators (65J10) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

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