Approximation of differential eigenvalue problems

DOI10.1134/S0012266113070124zbMath1296.65104MaRDI QIDQ2435159

Sergei I. Solov'ev

Publication date: 3 February 2014

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

zbMATH Keywords

convergencenumerical exampleSobolev spaceweak solutionfinite element methodeigenvalue problemordinary differential equationeigenfunctionquadrature

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) 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 (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 ⋮ 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 ⋮ 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 ⋮ Approximation of the inverse elliptic problem with mixed boundary value conditions and overdetermination ⋮ Finite element approximation with numerical integration for differential eigenvalue problems

Cites Work

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• A class of high-resolution algorithms for incompressible flows
• Periodic solution of a neutral delay model of single-species population growth on time scales
• The finite-element method for symmetric nonlinear eigenvalue problems
• Approximation of sign-indefinite spectral problems
• Error of the Bubnov-Galerkin method with perturbations for symmetric spectral problems with nonlinear entrance of the parameter
• Error bounds of finite element method for symmetric spectral problems with nonlinear dependence on parameter
• Superconvergence of finite element approximations to eigenspaces

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