Convergence order of a numerical scheme for sweeping process

Frederic Bernicot (1) , Juliette Venel (2)

1 LPP - Laboratoire Paul Painlevé - UMR 8524
2 LAMAV - Laboratoire de Mathématiques et leurs Applications de Valenciennes - EA 4015

In this paper, we show that the convergence order of a numerical scheme previously introduced for sweeping processes is equal to one. The considered differential inclusions involve a set-valued map, given by a finite number of constraints. The proof rests on a metric qualification condition between the sets associated with each constraint.

Mots clés: Differential inclusions; Subdifferential calculus; Numerical analysis; Prediction-correction algorithm

Domaines: Analyse numérique [math.NA]

Frederic Bernicot, Juliette Venel. Convergence order of a numerical scheme for sweeping process. 2010. ⟨hal-00517485v1⟩