A two-grid method of the non-conforming Crouzeix-Raviart element for the Steklov eigenvalue problem

DOI10.1016/j.amc.2011.04.051zbMath1222.65121OpenAlexW1997601076MaRDI QIDQ555362

Hai Bi, Yidu Yang

Publication date: 22 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.04.051

zbMATH Keywords

numerical exampleserror estimatespectral approximationtwo-grid discretization schemenonconforming Crouzeix-Raviart elementthe Steklov eigenvalue problem

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 (20)

A full multigrid method for the Steklov eigenvalue problem ⋮ An adaptive algorithm based on the shifted inverse iteration for the Steklov eigenvalue problem ⋮ An accurate a posteriori error estimator for the Steklov eigenvalue problem and its applications ⋮ 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 ⋮ The a priori and a posteriori error estimates of Crouzeix–Raviart element for the fluid–solid vibration problem ⋮ An asymptotically exact a posteriori error estimator for non-selfadjoint Steklov eigenvalue problem ⋮ Conforming finite element approximations for a fourth-order Steklov eigenvalue problem ⋮ Second-order three-scale asymptotic analysis and algorithms for Steklov eigenvalue problems in composite domain with hierarchical cavities ⋮ 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 type of full multigrid method for non-selfadjoint Steklov eigenvalue problems in inverse scattering ⋮ Numerical studies of the Steklov eigenvalue problem via conformal mappings ⋮ An improved two-grid finite element method for the Steklov eigenvalue problem ⋮ Non-conforming Crouzeix-Raviart element approximation for Stekloff eigenvalues in inverse scattering ⋮ A novel numerical method based on a high order polynomial approximation of the fourth order Steklov equation and its eigenvalue problems

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