A General Error Estimate For Parabolic Variational Inequalities
Numerical Analysis
2020-09-22 v1 Numerical Analysis
Abstract
The gradient discretisation method (GDM) is a generic framework designed recently, as a discretise in spatial space, to partial differential equations. This paper aims to use the GDM to establish a first general error estimate for numerical approximations of parabolic obstacle problems. This gives the convergence rates of several well--known conforming and non conforming numerical methods. Numerical experiments based on the hybrid finite volume method are provided to verify the theoretical results.
Cite
@article{arxiv.2009.09607,
title = {A General Error Estimate For Parabolic Variational Inequalities},
author = {Yahya Alnashri},
journal= {arXiv preprint arXiv:2009.09607},
year = {2020}
}