A Posteriori Error Analysis of Finite Element Methods for Reissner-Mindlin Plates

Authors:
Jun Hu;Yunqing Huang
Affiliations:
hujun@math.pku.edu.cn;huangyq@xtu.edu.cn
Venue:
SIAM Journal on Numerical Analysis
Year:
2010

Citing 18
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Abstract

This paper develops an a posteriori error control theory of finite element methods for Reissner-Mindlin plates, which states that one can derive a uniformly reliable and efficient a posteriori error estimate for a given scheme by only: (1) checking three conditions; (2) designing three functions and one parameter; (3) bounding the last three terms of the abstract estimator. We apply this theory to two classes of methods and achieve robust a posteriori error controls for them.