An operator method for a numerical quadrature finite element approximation for a class of second-order elliptic eigenvalue problems in composite structures

DOI10.1051/m2an/1995290303391zbMath0836.65113OpenAlexW121681634MaRDI QIDQ4850068

Michèle Vanmaele, Roger van Keer

Publication date: 6 May 1996

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193776

zbMATH Keywords

finite elementerror analysisnumerical quadratureoperator methodsecond-order elliptic eigenvalue problemmulticomponent domain

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)

Related Items (10)

Finite element approximation for 2nd order elliptic eigenvalue problems with nonlocal boundary or transition conditions ⋮ Finite element approximation of a contact vector eigenvalue problem. ⋮ A variational approximation method for 2nd order elliptic eigenvalue problems in a composite structure with nonstandard boundary conditions ⋮ Quadrature finite element method for elliptic eigenvalue problems ⋮ An operator method for a numerical quadrature finite element approximation for a class of second-order elliptic eigenvalue problems in composite structures ⋮ A finite element method for elliptic eigenvalue problems in a multi-component domain in 2D with nonlocal Dirichlet transition conditions ⋮ On the numerical approximation of some types of nonstandard second-order eigenvalue problems for vector value functions ⋮ Finite element analysis of a coupling eigenvalue problem on overlapping domains ⋮ A finite element method for differential eigenvalue problems with mixed classical and (semi-)periodic boundary conditions ⋮ Finite element approximation with numerical integration for differential eigenvalue problems

Cites Work

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• Estimation of the effect of numerical integration in finite element eigenvalue approximation
• Lectures on topics in finite element solution of elliptic problems. Notes by G. Vijayasundaram
• A note on the effect of numerical quadrature in finite element eigenvalue approximation
• Some results in lumped mass finite-element approximation of eigenvalue problems using numerical quadrature formulas
• External finite-element approximations of eigenfunctions in the case of multiple eigenvalues
• Eigenvalue approximation by the finite element method
• On spectral approximation. Part 1. The problem of convergence
• An operator method for a numerical quadrature finite element approximation for a class of second-order elliptic eigenvalue problems in composite structures

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