Discontinuous Virtual Element Method for an elliptic variational inequality of the second kind

Abstract: In this work, we analyse a simplified frictional contact problem and its variational formulation that has a form of the elliptic variational inequality of the second kind. For this problem, we consider a numerical approximation based on virtual element method (VEM). The novelty of our approach consists in the fact that we deal with a discontinuous version of the VEM. Our analysis concerns the error estimation between the exact solution of the simplified frictional contact problem and the approximate one.