Convergence of the Rayleigh-Ritz method for eigenvalue problems.

DOI10.1007/BF01385803zbMath0737.65082OpenAlexW391924885MaRDI QIDQ1812963

Ulrich Mertins

Publication date: 25 June 1992

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133572

zbMATH Keywords

convergencefinite elementsmultiple eigenvaluesapproximation of eigenvaluesRayleigh-Ritz methodsapproximation of eigenvectors

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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)

Related Items (4)

The finite element-Galerkin method for singular self-adjoint differential equations ⋮ On the convergence of the Goerisch method for self-adjoint eigenvalue problems with arbitrary spectrum ⋮ Variational schemes for vector eigenvalue problems ⋮ Asymptotic error estimates for Rayleigh-Ritz-approximations of selfadjoint eigenvalue problems

Cites Work

• Methods of intermediate problems for eigenvalues. Theory and ramifications
• La méthode de Rayleigh Ritz appliquee à des opérateurs différentiels elliptiques - ordre de convergence des éléments propres
• Numerical methods of high-order accuracy for nonlinear boundary value problems. III: Eigenvalue problems, IV: Periodic boundary conditions
• 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
• Über die Konvergenz und Divergenz von Näherungsmethoden bei Eigenwertproblemen
• $L^2 $ Error Bounds for the Rayleigh–Ritz–Galerkin Method
• Rayleigh-Ritz Approximation by Piecewise Cubic Polynomials
• The Rotation of Eigenvectors by a Perturbation. III
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