A Priori and a Posteriori Error Estimates for H(div)-Elliptic Problem with Interior Penalty Method

被引：1
作者：
Zeng, Yuping [1 ]
Chen, Jinru [1 ]
机构：
[1] Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210023, Jiangsu, Peoples R China
来源：
COMMUNICATIONS IN COMPUTATIONAL PHYSICS | 2013年 / 14卷 / 03期
关键词：
Discontinuous Galerkin method; H(div)-elliptic problem; a priori error estimate; a posteriori error estimate; DISCONTINUOUS GALERKIN METHODS; MIXED FINITE-ELEMENTS; APPROXIMATION; DISCRETIZATIONS; H(DIV);
D O I：
10.4208/cicp.040412.071112a
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we propose and analyze the interior penalty discontinuous Galerkin method for H(div)-elliptic problem. An optimal a priori error estimate in the energy norm is proved. In addition, a residual-based a posteriori error estimator is obtained. The estimator is proved to be both reliable and efficient in the energy norm. Some numerical testes are presented to demonstrate the effectiveness of our method.
引用
收藏
页码：753 / 779
页数：27
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