Variational and numerical analysis of a dynamic viscoelastic contact problem with friction and wear
Optimization and Control
2019-10-10 v2
Abstract
In this paper, we consider a dynamic viscoelastic contact problem with friction and wear, and describe it as a system of nonlinear partial differential equations. We formulate the previous problem as a hyperbolic quasi-variational inequality by employing the variational method. We adopt the Rothe method to show the existence and uniqueness of weak solution for the hyperbolic quasi-variational inequality under mild conditions. We also give a fully discrete scheme for solving the hyperbolic quasi-variational inequality and obtain error estimates for the fully discrete scheme.
Keywords
Cite
@article{arxiv.1907.05059,
title = {Variational and numerical analysis of a dynamic viscoelastic contact problem with friction and wear},
author = {Tao Chen and Nan-jing Huang and Yi-bin Xiao},
journal= {arXiv preprint arXiv:1907.05059},
year = {2019}
}