Volume 14, Issue 3
A Priori and a Posteriori Error Estimates for H(div)-elliptic Problem with Interior Penalty Method

Yuping Zeng and Jinru Chen

10.4208/cicp.040412.071112a

Commun. Comput. Phys., 14 (2013), pp. 753-779.

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  • Abstract

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 ef´Čücient in the energy norm. Some numerical testes are presented to demonstrate the effectiveness of our method.


  • History

Published online: 2013-09

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