Asymptotic expansion and extrapolation for the eigenvalue approximation of the biharmonic eigenvalue problem by Ciarlet-Raviart scheme

DOI10.1007/s10444-007-9031-xzbMath1122.65106OpenAlexW2027023757MaRDI QIDQ996795

Wei Chen, Qun Lin

Publication date: 19 July 2007

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-007-9031-x

zbMATH Keywords

convergencenumerical experimentseigenfunctionsa posteriori error estimatebilinear finite elementsbiharmonic eigenvalue problemCiarlet-Raviart scheme

Mathematics Subject Classification ID

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 (8)

A multi-level mixed element method for the eigenvalue problem of biharmonic equation ⋮ New Fourth Order Postprocessing Techniques for Plate Bending Eigenvalues by Morley Element ⋮ Eigenvalue approximation of the biharmonic eigenvalue problem by Ciarlet-Raviart scheme ⋮ Approximation and eigenvalue extrapolation of Stokes eigenvalue problem by nonconforming finite element methods ⋮ A new method using \(C^0\)IPG for the biharmonic eigenvalue problem ⋮ A new family of mixed method for the biharmonic eigenvalue problem based on the first order equations of Hellan-Herrmann-Johnson type ⋮ Order Reduced Schemes for the Fourth Order Eigenvalue Problems on Multi-Connected Planar Domains ⋮ Asymptotic expansions of eigenvalues by both the Crouzeix–Raviart and enriched Crouzeix–Raviart elements

Cites Work

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• A two-grid discretization scheme for eigenvalue problems
• On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form
• A posteriori error control for finite element approximations of elliptic eigenvalue problems

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