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A Priori and a Posteriori Error Analysis of the Discontinuous Galerkin Methods for Reissner-Mindlin Plates
Jun Hu, Yunqing Huang
Journal:

Advances in Applied Mathematics and Mechanics / Volume 3 / Issue 6 / December 2011

Published online by Cambridge University Press:

03 June 2015, pp. 649-662

Print publication:

December 2011
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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.

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