Convergence of a double step scheme for a class of second order Clarke subdifferential inclusions
Numerical Analysis
2024-02-27 v1 Numerical Analysis
Analysis of PDEs
Abstract
In this paper we deal with a second order evolution inclusion involving a multivalued term generated by a Clarke subdifferential of a locally Lipschitz potential. For this problem we construct a double step time-semidiscrete approximation, known as the Rothe scheme. We study a sequence of solutions of the semidiscrete approximate problems and provide its weak convergence to a limit element that is a solution of the original problem.
Keywords
Cite
@article{arxiv.2312.15723,
title = {Convergence of a double step scheme for a class of second order Clarke subdifferential inclusions},
author = {Krzysztof Bartosz and Paweł Szafraniec},
journal= {arXiv preprint arXiv:2312.15723},
year = {2024}
}