Conforming finite element approximations for a fourth-order Steklov eigenvalue problem

DOI10.1155/2011/873152zbMath1235.65119OpenAlexW2164778568WikidataQ58693616 ScholiaQ58693616MaRDI QIDQ410572

Yidu Yang, Shixian Ren, Hai Bi

Publication date: 3 April 2012

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/873152

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (9)

Local defect-correction method based on multilevel discretization for Steklov eigenvalue problem ⋮ A highly efficient spectral-Galerkin method based on tensor product for fourth-order Steklov equation with boundary eigenvalue ⋮ The Bogner-Fox-Schmit element finite volume methods on the Shishkin mesh for fourth-order singularly perturbed elliptic problems ⋮ Multiscale discretization scheme based on the Rayleigh quotient iterative method for the Steklov eigenvalue problem ⋮ Local a priori/a posteriori error estimates of conforming finite elements approximation for Steklov eigenvalue problems ⋮ A virtual element method for a biharmonic Steklov eigenvalue problem ⋮ A high accuracy numerical method based on spectral theory of compact operator for biharmonic eigenvalue equations ⋮ On asymptotic properties of biharmonic Steklov eigenvalues ⋮ 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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