Pointwise error estimates of discontinuous Galerkin methods with penalty for second-order elliptic problems

被引：47

作者：

Chen, ZX ^{[1
]}

Chen, HS

机构：

[1] Xian Jiaotong Univ, Ctr Sci Res, Xian 710049, Peoples R China

[2] So Methodist Univ, Dept Math, Dallas, TX 75275 USA

[3] Univ Wyoming, Dept Math, Laramie, WY 82070 USA

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2004年 / 42卷 / 03期

关键词：

discontinuous Galerkin method; pointwise error estimate; elliptic problem;

D O I：

10.1137/S0036142903421527

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

this paper discontinuous Galerkin methods with penalty for solving second-order elliptic problems are considered. Error estimates are studied for these methods. In particular, optimal localized pointwise error estimates are established on quasi-uniform grids in R-N (N greater than or equal to 2).

引用

页码：1146 / 1166

页数：21

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