Error estimation and h-adaptivity for eigenfrequency analysis of plates in bending: numerical results

This paper deals with error estimation and h-adaptive eigenfrequency finite-element analysis of Reissner–Mindlin plates. A termination criterion, two possible error indicators and a mesh refinement strategy for an h-adaptive eigenfrequency analysis without user tuned coefficients are presented. Superconvergent patch recovery of the displacement field is used for the error estimator in the termination criterion and to construct the error indicators. Numerical examples demonstrate the performance of the error estimator and the h-adaptive strategy. We also show the complexity of mesh refinement with respect to the appropriate mode by a numerical example.