On the order of convergence of finite element approximations to eigenvalues and eigenfunctions

DOI10.1007/BF02018046zbMath0402.65059OpenAlexW2050154113MaRDI QIDQ1255773

L. Veidinger

Publication date: 1977

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02018046

zbMATH Keywords

Partial Differential EquationsError BoundsEigenvalue ProblemFinite Element MethodsApproximating the Eigenvalues and Eigenfunctions

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) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Cites Work

• Higher order convergence results for the Rayleigh-Ritz method applied to eigenvalue problems. I: Improved error bounds for eigenfunctions
• Higher Order Convergence Results for the Rayleigh–Ritz Method Applied to Eigenvalue Problems. I: Estimates Relating Rayleigh–Ritz and Galerkin Approximations to Eigenfunctions
• On the order of convergence of a finite element scheme
• On the order of convergence of a finite element method in regions with curved boundaries
• Rayleigh–Ritz–Galerkin Methods for Multidimensional Problems
• On the order of convergence of the Rayleigh-Ritz method with piecewise linear trial functions
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