La méthode de Rayleigh Ritz appliquee à des opérateurs différentiels elliptiques - ordre de convergence des éléments propres

DOI10.1007/BF01400304zbMath0295.65060OpenAlexW2036668588MaRDI QIDQ1213295

M. J. Lemordant, Françoise Chatelin

Publication date: 1975

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

Full work available at URL: https://eudml.org/doc/132301

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (10)

General solution theory for Schrödinger's equation in arbitrary 2D- periodic spatial structures. I: The monolayer problem ⋮ Sur le choix du paramètre d'ajustement dans le lissage par fonctions spline ⋮ On the randomized error of polynomial methods for eigenvector and eigenvalue estimates ⋮ Iterative refinement for defective subspaces of differential operators ⋮ Theoretical error bounds on the convergence of the Lanczos and block-Lanczos methods ⋮ Error bounds in the approximation of eigenvalues of differential and integral operators ⋮ Convergence of the Rayleigh-Ritz method for eigenvalue problems. ⋮ Efficient Solution of Symmetric Eigenvalue Problems from Families of Coupled Systems ⋮ An unified numerical approach of steady convection between two parallel plates ⋮ Distributed Solution of Laplacian Eigenvalue Problems

Cites Work

• Unnamed Item
• 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
• Rayleigh-Ritz Approximation by Piecewise Cubic Polynomials
• On the speed of convergence of approximate methods in the eigenvalue problem
• Convergence of Approximation Methods to Compute Eigenelements of Linear Operations

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