Journal article
Numerical Approximation of a Unilateral Obstacle Problem
Journal of Optimization Theory and Applications, Vol.153(1), pp.177-194
04/2012
DOI: 10.1007/s10957-011-9956-6
Abstract
We consider a reformulation of the unilateral obstacle problem presented by the authors (Addou and Mermri in Math-Rech. Appl. 2:59–69, 2000). This reformulation introduces a continuous function, whose subdifferential characterizes the noncontact domain. Our goal in this paper is to give a numerical approximation of the solution of the reformulated problem. We consider discretization of the problem based on finite element method. Then we prove the convergence of the approximate solution to the exact one. Some numerical tests on one-dimensional obstacle problem are provided.
Details
- Title: Subtitle
- Numerical Approximation of a Unilateral Obstacle Problem
- Creators
- E Mermri - Department of Mathematics and Computer Science, Faculty of Science University Mohammed Premier 60050 Oujda MoroccoW Han - Department of Mathematics University of Iowa Iowa City IA 52242 USA
- Resource Type
- Journal article
- Publication Details
- Journal of Optimization Theory and Applications, Vol.153(1), pp.177-194
- Publisher
- Springer US; Boston
- DOI
- 10.1007/s10957-011-9956-6
- ISSN
- 0022-3239
- eISSN
- 1573-2878
- Language
- English
- Date published
- 04/2012
- Academic Unit
- Mathematics
- Record Identifier
- 9983985832502771
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