no. 5
Regularization of an unilateral obstacle problem
ESAIM: Modélisation mathématique et analyse numérique, Tome 35 (2001) no. 5, pp. 935-943

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.

Classification : 35J85
Keywords: regularization, obstacle, unilateral 
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Addou, Ahmed; Mermri, E. Bekkaye; Zahi, Jamal. Regularization of an unilateral obstacle problem. ESAIM: Modélisation mathématique et analyse numérique, Tome 35 (2001) no. 5, pp. 935-943. https://www.numdam.org/item/M2AN_2001__35_5_935_0/

[1] A. Addou and E.B. Mermri, Sur une méthode de résolution d'un problème d'obstacle. Math-Recherche & Applications 2 (2000) 59-69.

[2] I. Ekeland and R. Temam, Analyse convexe et problèmes variationnels. Gauthier-Villars, Eds., Paris, Brussels, Montreal (1974). | Zbl | MR

[3] R. Glowinski, J.-L. Lions and R. Trémolières, Numerical Analysis of Variational Inequalities. North-Holland Publishing Company, Amsterdam, New York, Oxford (1981). | Zbl | MR

[4] H. Huang, W. Han and J. Zhou, The regularisation method for an obstacle problem. Numer. Math. 69 (1994) 155-166. | Zbl

[5] D. Kinderlehrer and G. Stampacchia, An Introduction to Variational Inequalities and their Applications. Academic Press, New York (1980). | Zbl | MR