VEM for the Reissner-Mindlin plate based on the MITC approach: The element of degree 2

Abstract

We consider the family of Virtual Elements introduced in Chinosi (Numer Methods Partial Differ Equ 34(4):1117–1144, 2018) for the Reissner-Mindlin plate problem. The family is based on the MITC approach of the FEM context. We analyze the element of degree 2 and compare it with the corresponding finite element MITC9. Moreover we propose a new approximation of the load in order to achieve the proper order of convergence in L 2 .