Finite element approximation with numerical integration for differential eigenvalue problems

DOI10.1016/j.apnum.2014.02.009zbMath1326.65099OpenAlexW2003942602MaRDI QIDQ2343610

Sergei I. Solov'ev

Publication date: 6 May 2015

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2014.02.009

zbMATH Keywords

eigenvaluenumerical integrationfinite element methodeigenvalue problemSturm-Liouville problemeigenfunction

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (12)

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 ⋮ Dispersion optimized quadratures for isogeometric analysis ⋮ Finite Element Approximation for the Sturm-Liouville Problem with Quadratic Eigenvalue 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 ⋮ Differential properties of the operator of the geometrically nonlinear problem of a sandwich plate bending ⋮ A meshless method to the numerical solution of an inverse reaction–diffusion–convection problem ⋮ 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

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