Nonconforming finite element method for nonlinear parabolic equations

DOI10.1007/S11424-010-7120-2zbMath1211.65129OpenAlexW3173064673MaRDI QIDQ601909

Buying Zhang, Dong-Yang Shi

Publication date: 29 October 2010

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-010-7120-2

zbMATH Keywords

convergencenonlinear parabolic equationsoptimal error estimatesnonconforming finite element methodRitz projection

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (5)

A novel characteristic expanded mixed method for reaction-convection-diffusion problems ⋮ Primal hybrid method for quasilinear parabolic problems ⋮ Nonconforming immersed finite element method for solving elliptic optimal control problems with interfaces ⋮ Low order nonconforming finite element methods for nuclear reactor model ⋮ High accuracy analysis of the characteristic‐nonconforming FEM for a convection‐dominated transport problem

Cites Work

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• The streamline-diffusion method for nonconforming Qrot1 elements on rectangular tensor-product meshes
• A Priori $L^2 $ Error Estimates for Finite-Element Methods for Nonlinear Diffusion Equations with Memory
• 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
• Crouzeix-Raviart type finite elements on anisotropic meshes

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