Superconvergence of the direct discontinuous Galerkin method for convection-diffusion equations

DOI10.1002/num.22087zbMath1361.65061OpenAlexW2502130467MaRDI QIDQ2957444

Waixiang Cao, Zhimin Zhang, Hai-liang Liu

Publication date: 26 January 2017

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22087

zbMATH Keywords

numerical exampleserror boundsuperconvergenceconvection-diffusion equationsdirect discontinuous Galerkin methodsGauss-Lobatto projection

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

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