A numerical scheme for a class of sweeping processes

作者:Venel Juliette*
来源:Numerische Mathematik, 2011, 118(2): 367-400.
DOI:10.1007/s00211-010-0329-0

摘要

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 the modelling of crowd motion.

  • 出版日期2011-6