A NEW A POSTERIORI ERROR ESTIMATE FOR THE INTERIOR PENALTY DISCONTINUOUS GALERKIN METHOD

被引：0

作者：

Yang, Wei ^{[1
]}

Cao, Luling ^{[1
]}

Huang, Yunqing ^{[1
]}

Cui, Jintao ^{[2
,3
]}

机构：

[1] Xiangtan Univ, Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 411105, Peoples R China

[2] Hong Kong Polytech Univ, Dept Appl Math, Hung Hom, Hong Kong, Peoples R China

[3] Hong Kong Polytech Univ, Shenzhen Res Inst, Shenzhen 518057, Peoples R China

来源：

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2019年 / 16卷 / 02期

关键词：

Interior penalty discontinuous Galerkin method; a posteriori error estimate; adaptive finite element methods; Gauss-Seidel iterative method; EQUATIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we develop the adaptive interior penalty discontinuous Galerkin method based on a new a posteriori error estimate for the second-order elliptic boundary-value problems. The new a posteriori error estimate is motivated from the smoothing iteration of the m-time Gauss-Seidel iterative method, and it is used to construct the adaptive finite element method. The efficiency and robustness of the proposed adaptive method is demonstrated by extensive numerical experiments.

引用

页码：210 / 224

页数：15

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