Numerical scheme for a whole class of sweeping process
Numerical Analysis
2009-10-14 v2
Abstract
The aim of this paper is to study a whole class of first order differential inclusions, which fit into the framework of perturbed sweeping process by uniformly prox-regular sets. After obtaining well-posedness results, we propose a numerical scheme based on a prediction-correction algorithm and we prove its convergence. Finally we apply these results to a problem coming from modelling of crowd motion.
Cite
@article{arxiv.0904.2694,
title = {Numerical scheme for a whole class of sweeping process},
author = {Juliette Venel},
journal= {arXiv preprint arXiv:0904.2694},
year = {2009}
}
Comments
27 pages