The Resolvent Stability Condition for Spectra Convergence with Application to the Finite Element Approximation of Noncompact Operators

DOI10.1137/0716052zbMath0419.65066OpenAlexW2062135438MaRDI QIDQ3853080

Wendell H. Jun. Mills

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1137/0716052

zbMATH Keywords

finite element approximationBanach spaceelliptic partial differential operatorsnoncompact operatoreigenvalue approximationsspectra convergencefinite dimensional eigenvalue problemslimit of the spectra

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) Spectrum, resolvent (47A10) Numerical solutions to equations with linear operators (65J10) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (5)

Approximation of the Spectrum of Closed Operators: The Determination of Normal Modes of a Rotating Basin ⋮ Non-consistent approximations of self-adjoint eigenproblems: application to the supercell method ⋮ Convergence and errors for spectral components of the projective-finite element approximation to variational eigenvalue problems ⋮ On the approximation of eigenvalues associated with functional differential equations ⋮ Finite elements for the eigenvalue problem of differential operators in unbounded intervals

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