Superconvergence analysis of an \(H^1\)-Galerkin mixed finite element method for Sobolev equations

DOI10.1016/j.camwa.2016.07.023zbMath1361.65065OpenAlexW2515818747MaRDI QIDQ521466

Junjun Wang, Dong-Yang Shi

Publication date: 11 April 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.07.023

zbMATH Keywords

superconvergencenumerical experimentsemi-discrete schemeSobolev equationsfully-discrete scheme\(H^1\)-Galerkin mixed finite element methodBramble-Hilbert lemma

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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