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Regularization of an unilateral obstacle problem

Published online by Cambridge University Press:  15 April 2002

Ahmed Addou ,
E. Bekkaye Mermri  and
Jamal Zahi
Ahmed Addou
Affiliation:
Department of Mathematics, Faculty of Sciences, University Mohammed I, Oujda, Morocco. (zahi-j@sciences.univ-oujda.ac.ma)
E. Bekkaye Mermri
Affiliation:
Department of Mathematics, Faculty of Sciences, University Mohammed I, Oujda, Morocco. (zahi-j@sciences.univ-oujda.ac.ma)
Jamal Zahi
Affiliation:
Department of Mathematics, Faculty of Sciences, University Mohammed I, Oujda, Morocco. (zahi-j@sciences.univ-oujda.ac.ma)
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Abstract

The aim of this article is to give a regularization method for an unilateral obstacle problem with obstacle ψ and second member f, which generalizes the one established by the authors of [4] in case of null obstacle and a second member is equal to constant 1.

Keywords

Regularizationobstacleunilateral.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 35 , Issue 5 , September 2001 , pp. 935 - 943
Copyright
© EDP Sciences, SMAI, 2001

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References

Addou, A. and Mermri, E.B., Sur une méthode de résolution d'un problème d'obstacle. Math-Recherche & Applications 2 (2000) 59-69.
I. Ekeland and R. Temam, Analyse convexe et problèmes variationnels. Gauthier-Villars, Eds., Paris, Brussels, Montreal (1974).
R. Glowinski, J.-L. Lions and R. Trémolières, Numerical Analysis of Variational Inequalities. North-Holland Publishing Company, Amsterdam, New York, Oxford (1981).
Huang, H., Han, W. and Zhou, J., The regularisation method for an obstacle problem. Numer. Math. 69 (1994) 155-166. CrossRef
D. Kinderlehrer and G. Stampacchia, An Introduction to Variational Inequalities and their Applications. Academic Press, New York (1980).