A posteriori and superconvergence error analysis for finite element approximation of the Steklov eigenvalue problem

DOI10.1016/j.camwa.2023.05.025OpenAlexW4380048401MaRDI QIDQ6176652

Fusheng Luo, Manting Xie, Hongling Su, Chunguang Xiong

Publication date: 23 August 2023

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2023.05.025

zbMATH Keywords

superconvergencea posteriori error estimatepostprocessingSteklov eigenvalue problemthe a priori error estimate

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)

Cites Work

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• Local a priori/a posteriori error estimates of conforming finite elements approximation for Steklov eigenvalue problems
• Extrapolation and superconvergence of the Steklov eigenvalue problem
• Approximation of an eigenvalue problem associated with the Stokes problem by the stream function-vorticity-pressure method.
• A finite element solution of an added mass formulation for coupled fluid-solid vibrations
• An improved two-grid finite element method for the Steklov eigenvalue problem
• Nonconforming finite element approximations of the Steklov eigenvalue problem
• A posteriori error estimates for nonconforming approximations of Steklov eigenvalue problems
• A posteriori error estimates for the Steklov eigenvalue problem
• A Multilevel Correction Method for Steklov Eigenvalue Problem by Nonconforming Finite Element Methods
• New expansions of numerical eigenvalues for $-\Delta u=\lambda \rho u$ by nonconforming elements
• Finite Element-Galerkin Approximation of the Eigenvalues and Eigenvectors of Selfadjoint Problems
• Superconvergence Postprocessing for Eigenvalues
• Isoparametric finite-element approximation of a Steklov eigenvalue problem
• A type of multilevel method for the Steklov eigenvalue problem