Résumé

abstract: Motivated by the idea which has been introduced by M. Haiour and
S.Boulaaras (Proc. Indian Acad. Sci. (Math. Sci.) Vol. 121,No. 4, November
2011,pp.481–493), we provide a maximum norm analysis of Euler combined with
finite element Schwarz alternating method for a class of parabolic equation on with
nolinear source terms two overlapping subdomains with nonmatching grids. We
consider a domain which is the union of two overlapping subdomains where each
subdomain has its own independently generated grid. The two meshes being mutually
independent on the overlap region, a triangle belonging to one triangulation
does not necessarily belong to the other one. Under a stability analysis on Euler
scheme which given by our work in (App. Math. Comp., 217, 6443–6450 (2011)), we
establish, on each subdomain, an optimal asymptotic behavior between the discrete
Schwarz sequence and the asymptotic solution of parabolic differential equations.

Information

Item Type:	Journal
Divisions:	» Laboratoire d’Informatique et Mathématiques
ePrint ID:	1669
Date Deposited:	2019-03-19
Further Information:	Google Scholar
URI:	https://www.univ-soukahras.dz/fr/publication/article/1669

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