Superconvergence analysis and extrapolation of quasi-Wilson nonconforming finite element method for nonlinear Sobolev equations

DOI10.1007/S10255-013-0216-4zbMath1273.65123OpenAlexW162714136MaRDI QIDQ350761

Dong-Yang Shi, Fen-Ling Wang, Yan-Min Zhao

Publication date: 3 July 2013

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-013-0216-4

zbMATH Keywords

superconvergenceextrapolationnonlinear Sobolev equationsquasi-Wilson nonconforming finite element method

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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Cites Work

• Extrapolation and superconvergence of the Steklov eigenvalue problem
• Nonconforming \(H^{1}\)-Galerkin mixed FEM for Sobolev equations on anisotropic meshes
• A priori error estimates for interior penalty discontinuous Galerkin method applied to nonlinear Sobolev equations
• Superconvergence analysis of Wilson element on anisotropic meshes
• Asymptotic error expansion and Richardson extrapolation of eigenvalue approximations for second order elliptic problems by the mixed finite element method
• A cooling process according to two-temperature theory of heat conduction
• Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
• Simple nonconforming quadrilateral Stokes element
• A non-conforming element for stress analysis
• P₁-Nonconforming Quadrilateral Finite Element Methods for Second-Order Elliptic Problems
• Anisotropic interpolation and quasi-Wilson element for narrow quadrilateral meshes
• Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation
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