Approximation of differential eigenvalue problems with a nonlinear dependence on the parameter

DOI10.1134/S0012266114070106zbMath1308.65130MaRDI QIDQ483746

Sergei I. Solov'ev

Publication date: 17 December 2014

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

zbMATH Keywords

finite element methodeigenvalue problemerror analysiseigenfunction

Mathematics Subject Classification ID

Error bounds for numerical methods for ordinary differential equations (65L70) Nonlinear ordinary differential operators (34L30) 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 (10)

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 ⋮ 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 ⋮ 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

Cites Work

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• A class of high-resolution algorithms for incompressible flows
• Efficient GPU implementation of the linearly interpolated bounce-back boundary condition
• 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
• Numerical study of stability and nonlinear eigenvalue problems
• Preconditioned iterative methods for a class of nonlinear eigenvalue problems
• Computation of 3D vertex singularities for linear elasticity: Error estimates for a finite element method on graded meshes
• The bisection method for symmetrie eigenvalue problems with a parameter entering nonlinearly
• Asymptotic evaluations of the error of projection methods for the eigenvalue problem
• Investigation of a spectral problem for the Helmholtz operator in the plane

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