Year: 2013
Communications in Computational Physics, Vol. 14 (2013), Iss. 3 : pp. 753–779
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.040412.071112a
Communications in Computational Physics, Vol. 14 (2013), Iss. 3 : pp. 753–779
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 27
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Weak Galerkin finite element methods with and without stabilizers for H(div;Ω)${\bf H}(\mbox{div}; \Omega )$‐elliptic problems
Kumar, Raman
Deka, Bhupen
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 103 (2023), Iss. 11
https://doi.org/10.1002/zamm.202200207 [Citations: 1]