Error Analysis of Mixed-Interpolated Elements for Ressner-Mindlin Plates

摘要

The authors give an error analysis for the recently introduced mixed-interpolated finite element methods for Reissner-Mindlin plates. Optimal error estimates, which are valid uniformly with respect to the thickness of the plate, are proven for the deflection, rotation, and the shear force. In addition, the earlier families are augmented with a new method with linear approximations for the deflection and the rotation. The authors also introduce a simple postprocessing method by which an improved approximation for the deflection can be obtained.