On a finite element method for second order elliptic eigenvalue problems with nonlocal direchlet boundary conditions

DOI10.1080/01630569708816760zbMath0883.35029OpenAlexW2062671402MaRDI QIDQ4351390

Hennie De Schepper, Roger van Keer

Publication date: 23 March 1998

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569708816760

zbMATH Keywords

error estimatespolygonal domainimperfect Lagrange interpolant

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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)

Convergence analysis of reproducing kernel particle method to elliptic eigenvalue problem ⋮ 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 ⋮ Superconvergent Finite Element Postprocessing for Eigenvalue Problems with Nonlocal Boundary Conditions

Cites Work

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• 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
• A property of Green's function

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