A posteriori error analysis of finite element methods for reissner-mindlin plates

摘要

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.