TY - JOUR
T1 - A Priori and a Posteriori Error Estimates for H(div)-Elliptic Problem with Interior Penalty Method
AU - Yuping Zeng & Jinru Chen
JO - Communications in Computational Physics
VL - 3
SP - 753
EP - 779
PY - 2013
DA - 2013/09
SN - 14
DO - http://doi.org/10.4208/cicp.040412.071112a
UR - https://global-sci.org/intro/article_detail/cicp/7180.html
KW - 
AB - <p style="text-align: justify;">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.</p><p><br/></p>