Volume 3, Issue 6
A Priori and a Posteriori Error Analysis of the Discontinuous Galerkin Methods for Reissner-Mindlin Plates

Jun Hu & Yunqing Huang

Adv. Appl. Math. Mech., 3 (2011), pp. 649-662.

Published online: 2011-03

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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

A posteriori error analysis Reissner-Mindlin plate finite element reduction integration

  • AMS Subject Headings

65N30 65N15 35J25

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COPYRIGHT: © Global Science Press

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@Article{AAMM-3-649, author = {Jun Hu and Yunqing Huang}, title = {A Priori and a Posteriori Error Analysis of the Discontinuous Galerkin Methods for Reissner-Mindlin Plates}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2011}, volume = {3}, number = {6}, pages = {649--662}, 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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.11-m1111}, url = {http://global-sci.org/intro/article_detail/aamm/188.html} }
TY - JOUR T1 - A Priori and a Posteriori Error Analysis of the Discontinuous Galerkin Methods for Reissner-Mindlin Plates AU - Jun Hu & Yunqing Huang JO - Advances in Applied Mathematics and Mechanics VL - 6 SP - 649 EP - 662 PY - 2011 DA - 2011/03 SN - 3 DO - http://doi.org/10.4208/aamm.11-m1111 UR - https://global-sci.org/intro/article_detail/aamm/188.html KW - A posteriori KW - error analysis KW - Reissner-Mindlin plate KW - finite element KW - reduction integration AB -

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.

Jun Hu & Yunqing Huang. (1970). A Priori and a Posteriori Error Analysis of the Discontinuous Galerkin Methods for Reissner-Mindlin Plates. Advances in Applied Mathematics and Mechanics. 3 (6). 649-662. doi:10.4208/aamm.11-m1111
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