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

Published online by Cambridge University Press:  03 June 2015

Yuping Zeng and
Jinru Chen
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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 efficient in the energy norm. Some numerical testes are presented to demonstrate the effectiveness of our method.

Keywords

65N1565N30Discontinuous Galerkin methodH(div)-elliptic problema priori error estimatea posteriori error estimate

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Type
Research Article
Information
Communications in Computational Physics , Volume 14 , Issue 3 , September 2013, pp. 753 - 779
Copyright
Copyright © Global Science Press Limited 2013

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