On an external finite element method for a second-order eigenvalue problem on a concave 2D-domain with Dirichlet boundary conditions

DOI10.1016/0096-3003(94)00155-WzbMath0836.65112MaRDI QIDQ1899332

Michèle Vanmaele

Publication date: 29 April 1996

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

eigenfunctionserror estimateAubin-Nitsche lemmasecond-order elliptic eigenvalue problemslinear, triangular finite elements

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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 (2)

Convergence analysis of reproducing kernel particle method to elliptic eigenvalue problem ⋮ Laplace eigenvalues on regular polygons: a series in \(1/N\)

Cites Work

• Finite element solution of nonlinear elliptic problems
• External finite element approximations of eigenvalue problems
• Curved Elements in the Finite Element Method. I
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