Superconvergence of Discontinuous Galerkin Method for Nonstationary Hyperbolic Equation

Superconvergence of Discontinuous Galerkin Method for Nonstationary Hyperbolic Equation

Year:    2002

Author:    Ying Chen , Jia-Fu Lin, Qun Lin

Journal of Computational Mathematics, Vol. 20 (2002), Iss. 4 : pp. 429–436

Abstract

For the first order nonstationary hyperbolic equation taking the piecewise linear discontinuous Galerkin solver, we prove that under the uniform rectangular partition, such a discontinuous solver, after postprocessing, can have two and a half approximative order which is half order higher than the optimal estimate by Lesaint and Raviart under the rectangular partition.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2002-JCM-8929

Journal of Computational Mathematics, Vol. 20 (2002), Iss. 4 : pp. 429–436

Published online:    2002-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Discontinuous Galerkin method Hyperbolic equation Nonstationary Super-convergence.

Author Details

Ying Chen

Jia-Fu Lin

Qun Lin