A note on finite element error bounds for multiple defective eigenvalues and maximal invariant subspaces

DOI10.1016/0893-9659(91)90038-WzbMath0724.65054OpenAlexW2058514152MaRDI QIDQ758128

Mario Ahues

Publication date: 1991

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(91)90038-w

zbMATH Keywords

condition numberfinite element approximationsError boundsmaximal invariant subspacesanti-compact differential operatorseigenvalue indexmultiple defective eigenvalues

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Eigenvalue problems for linear operators (47A75) Numerical solutions to equations with linear operators (65J10) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Cites Work

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• A note on strong stability of finite element approximations
• Spectral condition numbers for defective elements of linear operators in hilbert spaces
• Estimates for the Errors in Eigenvalue and Eigenvector Approximation by Galerkin Methods, with Particular Attention to the Case of Multiple Eigenvalues

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