Mixed Higher Order Spectral Finite Elements for Reissner–Mindlin Equations

Abstract

We construct a class of high order numerical approximations for the Reissner-Mindlin plate model in the time domain, based on mixed spectral finite elements with mass lumping. In this way we obtain explicit time-stepping schemes. We first compare the Reissner-Mindlin model to three-dimensional (3D) solutions to validate our method. Then, we show the advantages of the schemes in terms of accuracy and computational time.