Uniform error estimates for triangular finite element solutions of advection-diffusion equations

DOI10.1007/s10444-011-9228-xzbMath1312.65148OpenAlexW2015716740MaRDI QIDQ1946484

Hongtao Chen, Junming Zhou, Qun Lin, Hong Wang

Publication date: 15 April 2013

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-011-9228-x

zbMATH Keywords

superconvergenceadvection-diffusion equationsintegral identitiesuniform error estimatesfully discrete Galerkin methodinterpolation postprocessing operatortriangular linear elements

Mathematics Subject Classification ID

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) Initial value problems for second-order parabolic equations (35K15)

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Supercloseness of the SDFEM on Shishkin triangular meshes for problems with exponential layers, A new streamline diffusion finite element method for the generalized Oseen problem, A uniformly optimal‐order estimate for finite volume method for advection‐diffusion equations

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