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
Mots-clés : regularization, obstacle, unilateral 
@article{M2AN_2001__35_5_935_0,
     author = {Addou, Ahmed and Mermri, E. Bekkaye and Zahi, Jamal},
     title = {Regularization of an unilateral obstacle problem},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {935--943},
     publisher = {EDP-Sciences},
     volume = {35},
     number = {5},
     year = {2001},
     mrnumber = {1866276},
     zbl = {0991.35038},
     language = {en},
     url = {http://archive.numdam.org/item/M2AN_2001__35_5_935_0/}
}
TY  - JOUR
AU  - Addou, Ahmed
AU  - Mermri, E. Bekkaye
AU  - Zahi, Jamal
TI  - Regularization of an unilateral obstacle problem
JO  - ESAIM: Modélisation mathématique et analyse numérique
PY  - 2001
SP  - 935
EP  - 943
VL  - 35
IS  - 5
PB  - EDP-Sciences
UR  - http://archive.numdam.org/item/M2AN_2001__35_5_935_0/
LA  - en
ID  - M2AN_2001__35_5_935_0
ER  - 
%0 Journal Article
%A Addou, Ahmed
%A Mermri, E. Bekkaye
%A Zahi, Jamal
%T Regularization of an unilateral obstacle problem
%J ESAIM: Modélisation mathématique et analyse numérique
%D 2001
%P 935-943
%V 35
%N 5
%I EDP-Sciences
%U http://archive.numdam.org/item/M2AN_2001__35_5_935_0/
%G en
%F M2AN_2001__35_5_935_0
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. http://archive.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). | MR | Zbl

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

[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). | MR | Zbl