Regularization of an unilateral obstacle problem

Ahmed Addou; E. Bekkaye Mermri; Jamal Zahi

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (2001)

  • Volume: 35, Issue: 5, page 935-943
  • ISSN: 0764-583X

Abstract

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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 .

How to cite

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Addou, Ahmed, Mermri, E. Bekkaye, and Zahi, Jamal. "Regularization of an unilateral obstacle problem." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 35.5 (2001): 935-943. <http://eudml.org/doc/194082>.

@article{Addou2001,
abstract = {The aim of this article is to give a regularization method for an unilateral obstacle problem with obstacle $\psi $ 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 $1$.},
author = {Addou, Ahmed, Mermri, E. Bekkaye, Zahi, Jamal},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {regularization; obstacle; unilateral; regularization methods; non-differentiable minimization problem},
language = {eng},
number = {5},
pages = {935-943},
publisher = {EDP-Sciences},
title = {Regularization of an unilateral obstacle problem},
url = {http://eudml.org/doc/194082},
volume = {35},
year = {2001},
}

TY - JOUR
AU - Addou, Ahmed
AU - Mermri, E. Bekkaye
AU - Zahi, Jamal
TI - Regularization of an unilateral obstacle problem
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 2001
PB - EDP-Sciences
VL - 35
IS - 5
SP - 935
EP - 943
AB - The aim of this article is to give a regularization method for an unilateral obstacle problem with obstacle $\psi $ 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 $1$.
LA - eng
KW - regularization; obstacle; unilateral; regularization methods; non-differentiable minimization problem
UR - http://eudml.org/doc/194082
ER -

References

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  1. [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. [2] I. Ekeland and R. Temam, Analyse convexe et problèmes variationnels. Gauthier-Villars, Eds., Paris, Brussels, Montreal (1974). Zbl0281.49001MR463993
  3. [3] R. Glowinski, J.-L. Lions and R. Trémolières, Numerical Analysis of Variational Inequalities. North-Holland Publishing Company, Amsterdam, New York, Oxford (1981). Zbl0463.65046MR635927
  4. [4] H. Huang, W. Han and J. Zhou, The regularisation method for an obstacle problem. Numer. Math. 69 (1994) 155–166. Zbl0817.65050
  5. [5] D. Kinderlehrer and G. Stampacchia, An Introduction to Variational Inequalities and their Applications. Academic Press, New York (1980). Zbl0457.35001MR567696

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