Numerical scheme for a whole class of sweeping process

2009/04/17 by Venel, Juliette
#34A60 #65L20. #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.0904.2694

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.

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