The combined effect of numerical integration and approximation of the boundary in the finite element method for eigenvalue problems

DOI10.1007/s002110050144zbMath0836.65111OpenAlexW1973690141MaRDI QIDQ1899121

Publication date: 6 May 1996

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

Full work available at URL: https://doi.org/10.1007/s002110050144

zbMATH Keywords

convergence finite element eigenfunctions quadrature formula piecewise linear approximations second-order elliptic eigenvalue problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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)

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Isoparametric mixed finite element approximation of eigenvalues and eigenvectors of 4th order eigenvalue problems with variable coefficients ⋮ Finite element approximation of spectral problems with Neumann boundary conditions on curved domains ⋮ Error estimates for a Galerkin method with perturbations for spectral problems of the theory of dielectric waveguides ⋮ Quadrature finite element method for elliptic eigenvalue problems ⋮ Finite-Element Domain Approximation for Maxwell Variational Problems on Curved Domains ⋮ Laplace eigenvalues on regular polygons: a series in \(1/N\) ⋮ The effect of quadrature rules on finite element solutions of Maxwell variational problems. Consistency estimates on meshes with straight and curved elements ⋮ Finite element approximation of the elasticity spectral problem on curved domains ⋮ Finite element approximations in a non-Lipschitz domain: Part II ⋮ Finite element approximation with numerical integration for differential eigenvalue problems ⋮ Quadrature errors in finite element eigenvalue computations

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