Virtual Elements for the Reissner‐Mindlin plate problem. Issue 4 (21st February 2018)

• Record Type: Journal Article
• Authors: Chinosi, Claudia
• Is Part Of: Numerical methods for partial differential equations. Volume 34:Issue 4(2018)
• Page Start: 1117
• Page End: 1144
• Publication Date: 2018-02-21
• Subjects: virtual elements -- Reissner‐Mindlin plates -- mixed interpolation of tensorial components -- polygonal meshes; Differential equations, Partial -- Numerical solutions -- Periodicals; 515.353
• DOI: 10.1002/num.22248
• Languages: English
• ISSNs: 0749-159X

Abstract

Abstract : In this work, we present a virtual element method for the approximation of the plate bending problem in the Reissner‐Mindlin formulation. The proposed method follows the MITC approach of the FEM context. We construct a family of VEM spaces with arbitrary degree of accuracy that satisfies the conditions of the MITC philosophy. We perform some numerical tests which allow us to assess the convergence and the robustness of the method.