Paper's Title:

Uniform Convergence of Schwarz Method for Noncoercive Variational Inequalities Simple Proof

Author(s):

M. Haiour and E. Hadidi.

Department of mathematics, LANOS Laboratory,
Faculty of the Sciences, University Badji Mokhtar,
P.O 23000 Annaba,
Algeria.

haiourm@yahoo.fr,
ehadidi71@yahoo.fr

Abstract:

In this paper we study noncoercive variational inequalities, using the Schwarz method. The main idea of this method consists in decomposing the domain in two subdomains. We give a simple proof for the main result concerning L^∞ error estimates, using the Zhou geometrical convergence and the L^∞ approximation given for finite element methods by Courty-Dumont.  

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