Hostname: page-component-848d4c4894-2pzkn Total loading time: 0 Render date: 2024-05-18T08:32:47.572Z Has data issue: false hasContentIssue false
  • English
  • Français

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)
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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).