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implicit euler numerical scheme

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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1 results

Numerical precision for differential inclusionswith uniqueness
Jérôme Bastien, Michelle Schatzman
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 36 / Issue 3 / May 2002

Published online by Cambridge University Press:

15 August 2002, pp. 427-460

Print publication:

May 2002
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In this article, we show the convergence of a class of numerical schemes for certain maximal monotone evolution systems; a by-product of this resultsis the existence of solutions in cases which had not been previouslytreated. The order of these schemes is 1/2 in general and 1 when the only non Lipschitz continuous term is the subdifferential of the indicatrix of a closed convex set. In the case of Prandtl'srheological model, our estimates in maximum norm do not dependon spatial dimension.