A two-grid discretization scheme for the Steklov eigenvalue problem

DOI10.1007/s12190-010-0392-9zbMath1220.65160OpenAlexW2033014488MaRDI QIDQ545573

Yidu Yang, Qin Li

Publication date: 22 June 2011

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-010-0392-9

zbMATH Keywords

error estimatesnumerical experimentsfinite elementSteklov eigenvalue problemtwo-grid discretization scheme

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Estimates of eigenvalues in context of PDEs (35P15) Error bounds for boundary value problems involving PDEs (65N15) 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)

Related Items (16)

An adaptive algorithm based on the shifted inverse iteration for the Steklov eigenvalue problem ⋮ A type of multigrid method based on the fixed-shift inverse iteration for the Steklov eigenvalue problem ⋮ A highly efficient spectral-Galerkin method based on tensor product for fourth-order Steklov equation with boundary eigenvalue ⋮ A multilevel Newton's method for the Steklov eigenvalue problem ⋮ A multi-level mixed element method for the eigenvalue problem of biharmonic equation ⋮ A multilevel correction scheme for the Steklov eigenvalue problem ⋮ Conforming finite element approximations for a fourth-order Steklov eigenvalue problem ⋮ Multiscale discretization scheme based on the Rayleigh quotient iterative method for the Steklov eigenvalue problem ⋮ A two-scale discretization scheme for mixed variational formulation of eigenvalue problems ⋮ Local a priori/a posteriori error estimates of conforming finite elements approximation for Steklov eigenvalue problems ⋮ A two-grid discretization scheme for optimal control problems of elliptic equations ⋮ Numerical studies of the Steklov eigenvalue problem via conformal mappings ⋮ An improved two-grid finite element method for the Steklov eigenvalue problem ⋮ Superconvergence two-grid scheme based on shifted-inverse power method for eigenvalue problems by function value recovery ⋮ Steklov Expansion Method for Regularized Harmonic Boundary Value Problems ⋮ A novel numerical method based on a high order polynomial approximation of the fourth order Steklov equation and its eigenvalue problems

Cites Work

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