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A Priori and a Posteriori Error Analysis of the Discontinuous Galerkin Methods for Reissner-Mindlin Plates

Published online by Cambridge University Press:  03 June 2015

Jun Hu  and
Yunqing Huang
Jun Hu*
Affiliation:
LMAM and School of Mathematical Sciences, Peking University, Beijing 100871, China
Yunqing Huang*
Affiliation:
Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan 411105, Hunan, China
*
Email: hujun@math.pku.edu.cnhuangyq@xtu.edu.cn
Corresponding author. Email: huangyq@xtu.edu.cn
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Abstract

In this paper, we apply an a posteriori error control theory that we develop in a very recent paper to three families of the discontinuous Galerkin methods for the Reissner-Mindlin plate problem. We derive robust a posteriori error estimators for them and prove their reliability and efficiency.

Keywords

65N3065N1535J25A posteriorierror analysisReissner-Mindlin platefinite elementreduction integration
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 3 , Issue 6 , December 2011 , pp. 649 - 662
Copyright
Copyright © Global-Science Press 2011

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