Optimal a Posteriori Error Estimates of the Local Discontinuous Galerkin Method for Convection-Diffusion Problems in One Space Dimension

DOI10.4208/jcm.1603-m2015-0317zbMath1374.65152OpenAlexW2522574748MaRDI QIDQ5276758

Mahboub Baccouch

Publication date: 14 July 2017

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

Full work available at URL: https://semanticscholar.org/paper/06aef1bdf4bb53ac01cc27b963c264fc71b38ade

zbMATH Keywords

numerical experimentsconvection-diffusion problemsmesh refinementa posteriori error estimationlocal discontinuous Galerkin methodRadau polynomialssuper-convergence

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) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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