Numerical scheme for a whole class of sweeping process

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.

27 pages

References in corpus (1)

• Existence of sweeping process in Banach spaces under directional prox-regularity

Cited by in corpus (2)

• Convergence order of a numerical scheme for sweeping process
• Stochastic perturbation of sweeping process and a convergence result for an associated numerical scheme