L2 stability analysis of the central discontinuous Galerkin method and a comparison between the central and regular discontinuous Galerkin methods

被引：59
|
作者：
Liu, Yingjie [1 ]
Shu, Chi-Wang [2 ]
Tadmor, Eitan [3 ,4 ]
Zhang, Mengping [5 ]
机构：
[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA
[2] Brown Univ, Div Appl Math, Providence, RI 02912 USA
[3] Univ Maryland, Inst Phys Sci & Technol, Dept Math, College Pk, MD 20742 USA
[4] Univ Maryland, CSCAMM, College Pk, MD 20742 USA
[5] Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
来源：
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2008年 / 42卷 / 04期
关键词：
D O I：
10.1051/m2an:2008018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove stability and derive error estimates for the recently introduced central discontinuous Galerkin method, in the context of linear hyperbolic equations with possibly discontinuous solutions. A comparison between the central discontinuous Galerkin method and the regular discontinuous Galerkin method in this context is also made. Numerical experiments are provided to validate the quantitative conclusions from the analysis.
引用
收藏
页码：593 / 607
页数：15
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