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

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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.
出处 《Communications in Computational Physics》 SCIE 2013年第8期753-779,共27页 计算物理通讯(英文)
基金 supported by NSFC under the grant 11071124.
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