Discontinuous Virtual Element Method for an elliptic variational inequality of the second kind
Numerical Analysis
2023-12-27 v1 Numerical Analysis
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.
Keywords
Cite
@article{arxiv.2312.15726,
title = {Discontinuous Virtual Element Method for an elliptic variational inequality of the second kind},
author = {Krzysztof Bartosz and Pawel Szafraniec},
journal= {arXiv preprint arXiv:2312.15726},
year = {2023}
}