High accuracy analysis of a new nonconforming mixed finite element scheme for Sobolev equations

DOI10.1016/j.amc.2011.08.054zbMath1244.65143OpenAlexW2087500920MaRDI QIDQ426324

Yadong Zhang, Dong-Yang Shi

Publication date: 11 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.08.054

zbMATH Keywords

convergenceinitial-boundary value problembackward Euler approximationlinear Sobolev equationnonconforming mixed finite element

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) 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)

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Cites Work

• Nonconforming \(H^{1}\)-Galerkin mixed FEM for Sobolev equations on anisotropic meshes
• Anisotropic rectangular nonconforming finite element analysis for Sobolev equations
• Error estimates of a Galerkin method for some nonlinear Sobolev equations in one space dimension
• Time-Stepping Galerkin Methods for Nonlinear Sobolev Partial Differential Equations
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