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Volume 20, Issue 4
Superconvergence of Discontinuous Galerkin Method for Nonstationary Hyperbolic Equation

Ying Chen , Jia-Fu Lin & Qun Lin

J. Comp. Math., 20 (2002), pp. 429-436.

Published online: 2002-08

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  • 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.

  • Keywords

Discontinuous Galerkin method, Hyperbolic equation, Nonstationary, Super-convergence.

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COPYRIGHT: © Global Science Press

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@Article{JCM-20-429, author = { , Ying ChenLin , Jia-Fu and Lin , Qun}, title = {Superconvergence of Discontinuous Galerkin Method for Nonstationary Hyperbolic Equation}, journal = {Journal of Computational Mathematics}, year = {2002}, volume = {20}, number = {4}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8929.html} }
TY - JOUR T1 - Superconvergence of Discontinuous Galerkin Method for Nonstationary Hyperbolic Equation AU - , Ying Chen AU - Lin , Jia-Fu AU - Lin , Qun JO - Journal of Computational Mathematics VL - 4 SP - 429 EP - 436 PY - 2002 DA - 2002/08 SN - 20 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8929.html KW - Discontinuous Galerkin method, Hyperbolic equation, Nonstationary, Super-convergence. AB -

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.

, Ying ChenLin , Jia-Fu and Lin , Qun. (2002). Superconvergence of Discontinuous Galerkin Method for Nonstationary Hyperbolic Equation. Journal of Computational Mathematics. 20 (4). 429-436. doi:
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