TY - JOUR T1 - A Priori and a Posteriori Error Analysis of the Discontinuous Galerkin Methods for Reissner-Mindlin Plates AU - Hu , Jun AU - Huang , Yunqing 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, error analysis, Reissner-Mindlin plate, finite element, 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.