Approximation of variational eigenvalue problems

DOI10.1134/S0012266110070104zbMath1205.65183MaRDI QIDQ610387

Sergei I. Solov'ev

Publication date: 8 December 2010

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

zbMATH Keywords

eigenvaluesHilbert spaceeigenfunctionsbilinear formsRayleigh functionalinfinite dimensional problemconvergence, error estimates

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Numerical solutions to equations with linear operators (65J10) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (9)

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 ⋮ 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 ⋮ 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

Cites Work

• Estimation of the effect of numerical integration in finite element eigenvalue approximation
• Error of the Bubnov-Galerkin method with perturbations for symmetric spectral problems with nonlinear entrance of the parameter
• Unnamed Item
• Unnamed Item

This page was built for publication: Approximation of variational eigenvalue problems