Convergence order of a numerical scheme for sweeping process

Details Convergence order of a numerical scheme for sweeping process Convergence order of a numerical scheme for sweeping process

2010-09-15

arxiv.org/abs/1009.2837v1

Mathematics

Numerical Analysis

13 pages

Scientific paper

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.

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