paper

A Stress/Displacement Virtual Element Method for Plane Elasticity Problems

arXiv:1702.01702 · doi:10.1016/j.cma.2017.06.036

Abstract

The numerical approximation of 2D elasticity problems is considered, in the framework of the small strain theory and in connection with the mixed Hellinger-Reissner variational formulation. A low-order Virtual Element Method (VEM) with a-priori symmetric stresses is proposed. Several numerical tests are provided, along with a rigorous stability and convergence analysis.