On the numerical approximation of some types of nonstandard second-order eigenvalue problems for vector value functions

DOI10.1016/S0377-0427(99)00122-3zbMath0951.65110OpenAlexW2011286392MaRDI QIDQ1971823

Hennie De Schepper, Roger van Keer

Publication date: 7 June 2000

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00122-3

zbMATH Keywords

convergencenumerical examplenonstandard boundary conditionserror estimationfinite element methodsvector-valued functionssecond-order elliptic eigenvalue problems

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)

Cites Work

• Optimal control of soil venting: Mathematical modeling and applications
• External finite element approximations of eigenvalue problems
• On a finite element method for second order elliptic eigenvalue problems with nonlocal direchlet boundary conditions
• Nonlinear interaction problems
• 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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