Error estimates for rotated \(Q_1^{rot}\) element approximation of the eigenvalue problem on anisotropic meshes

DOI10.1016/j.aml.2009.02.001zbMath1168.65066OpenAlexW2020364155MaRDI QIDQ1023088

Dong-Yang Shi, Shao-Chun Chen, Yu-Cheng Peng

Publication date: 10 June 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.02.001

zbMATH Keywords

numerical resultsanisotropic meshesoptimal error estimatessecond-order elliptic eigenvalue problemrotated \(Q_1^{rot}\) element

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)

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Unconditional superconvergence analysis of an energy-stable C-N fully discrete scheme for the nonlinear magnetic diffusion model with memory ⋮ Nonconforming modified quasi-Wilson finite element method for convection-diffusion-reaction equation ⋮ Unconditional superconvergence analysis for the nonlinear bi-flux diffusion equation ⋮ Superconvergence analysis of two-grid methods for bacteria equations ⋮ A new nonconforming mixed finite element scheme for second order eigenvalue problem ⋮ Superconvergence analysis of an \(H^1\)-Galerkin mixed finite element method for Sobolev equations ⋮ Nonconforming finite element analysis for Poisson eigenvalue problem ⋮ Unconditional superconvergence of the fully-discrete schemes for nonlinear prey-predator model

Cites Work

• Anisotropic interpolation with applications to the finite element method
• Anisotropic interpolation and quasi-Wilson element for narrow quadrilateral meshes
• Crouzeix-Raviart type finite elements on anisotropic meshes
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