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Pré-Publication, Document De Travail Année : 2009

Numerical scheme for a whole class of sweeping process

Résumé

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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Dates et versions

hal-00376442 , version 1 (17-04-2009)
hal-00376442 , version 2 (14-10-2009)

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Juliette Venel. Numerical scheme for a whole class of sweeping process. 2009. ⟨hal-00376442v2⟩
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