Superconvergence of finite element approximations to eigenspaces

DOI10.1023/A:1020283213137zbMath1031.65120OpenAlexW187104007MaRDI QIDQ1874955

Sergei I. Solov'ev

Publication date: 25 May 2003

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1020283213137

zbMATH Keywords

finite elementeigenfunctionssuperconvergencemultiple eigenvalues

Mathematics Subject Classification ID

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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Eigenvibrations of a bar with elastically attached load ⋮ Eigenvibrations of a beam with elastically attached load ⋮ Eigenvibrations of a beam with load ⋮ Quadrature finite element method for elliptic eigenvalue problems ⋮ Approximation of differential eigenvalue problems ⋮ Approximation of differential eigenvalue problems with a nonlinear dependence on the parameter ⋮ Error investigation of a finite element approximation for a nonlinear Sturm-Liouville problem ⋮ Finite element approximation of the minimal eigenvalue of a nonlinear eigenvalue problem ⋮ Approximation of nonlinear spectral problems in a Hilbert space ⋮ Finite element approximation of the minimal eigenvalue and the corresponding positive eigenfunction of a nonlinear Sturm-Liouville problem ⋮ Error of the finite element approximation for a differential eigenvalue problem with nonlinear dependence on the spectral parameter ⋮ Finite element approximation with numerical integration for differential eigenvalue problems

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