Numerical scheme for a whole class of sweeping process
Provides a numerical method for a class of differential inclusions, but the results are incremental and domain-specific to applied mathematics.
The paper develops a numerical scheme for a class of differential inclusions modeling perturbed sweeping processes with uniformly prox-regular sets, proves its convergence, and applies it to crowd motion modeling.
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.