Publication Date:
2012-11-29
Description:
In the present work, we deal with the convergence of a class of numerical schemes for maximal monotone evolution systems in the particular case where the maximal monotone term is a subdifferential of a convex proper and lower semi-continuous function and the right-hand side depends on time and on solution. More precisely, we focus on an implicit Euler scheme and we show that the order of this scheme is one. Finally, some applications are given for a large class of rheological models. Content Type Journal Article Pages 1-12 DOI 10.1007/s00033-012-0276-y Authors Jérôme Bastien, Centre de Recherche et d’Innovation sur le Sport (CRIS), U.F.R.S.T.A.P.S., Université Claude Bernard-Lyon 1, 27-29, Bd du 11 Novembre 1918, 69622 Villeurbanne Cedex, France Journal Zeitschrift für Angewandte Mathematik und Physik (ZAMP) Online ISSN 1420-9039 Print ISSN 0044-2275
Print ISSN:
0044-2275
Electronic ISSN:
1420-9039
Topics:
Mathematics
,
Physics