Numerical results for mimetic discretization of Reissner-Mindlin plate problems

TL;DR

This paper introduces a low-order mimetic finite difference method for Reissner-Mindlin plate problems, including source, vibration, and buckling analyses, with detailed implementation and numerical validation on various meshes.

Contribution

It presents a novel low-order mimetic discretization scheme specifically designed for Reissner-Mindlin plates, covering multiple problem types.

Findings

The scheme accurately models source, vibration, and buckling problems.

Numerical results demonstrate robustness across different mesh types.

Implementation details facilitate reproducibility and practical application.

Abstract

A low-order mimetic finite difference (MFD) method for Reissner-Mindlin plate problems is considered. Together with the source problem, the free vibration and the buckling problems are investigated. Full details about the scheme implementation are provided, and the numerical results on several different types of meshes are reported.