Babuška, I.; Osborn, J. E. Finite element-Galerkin approximation of the eigenvalues and eigenvectors of selfadjoint problems. (English) Zbl 0675.65108 Math. Comput. 52, No. 186, 275-297 (1989). Authors’ summary: Refined estimates for Galerkin approximations of eigenvalues and eigenvectors of generalized selfadjoint problems are presented. A simplified proof and extension of the present results is done. Both simple and multiple eigenvalues are treated. Reviewer: L.Boubelíková Cited in 3 ReviewsCited in 86 Documents MSC: 65N25 Numerical methods for eigenvalue problems for boundary value problems involving PDEs 65N15 Error bounds for boundary value problems involving PDEs 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 35P15 Estimates of eigenvalues in context of PDEs Keywords:finite element; Refined estimates; Galerkin approximations; eigenvalues; eigenvectors; selfadjoint problems PDF BibTeX XML Cite \textit{I. Babuška} and \textit{J. E. Osborn}, Math. Comput. 52, No. 186, 275--297 (1989; Zbl 0675.65108) Full Text: DOI