AMApplied Mathematics2152-7385Scientific Research Publishing10.4236/am.2014.53054AM-42946ArticlesPhysics&Mathematics <i>L</i><sup>∞</sup>-Error Estimate of Schwarz Algorithm for Noncoercive Variational Inequalities amiraSaadi1*AllaouaMehri2*Laboratory LAIG, Department of Mathematics, Guelma University, Guelma, AlgeriaLaboratory LANOS, Department of Mathematics, Badji Mokhtar University, Annaba, Algeria* E-mail:saadisamira69@yahoo.fr(AS);allaoua.mehri@yahoo.fr(AM);070220140503572580December 20, 2013January 20, 2014 January 27, 2014© Copyright 2014 by authors and Scientific Research Publishing Inc. 2014This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/

The Schwarz method for a class of elliptic variational inequalities with noncoercive operator was studied in this work. The author proved the error estimate in L∞-norm for two domains with overlapping nonmatching grids using the geometrical convergence of solutions and the uniform convergence of subsolutions.

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