L\(^∞\)-asymptotic behavior for a finite element approximation to optimal control problems

Authors

  • Samir Boughaba Badji Mokhtar University - Department of Mathematics
  • Mohamed El Amine Bencheikh Le Hocine Badji Mokhtar University - Department of Mathematics
  • Mohamed Haiour Badji Mokhtar University - Department of Mathematics

Keywords:

parabolic quasi variational inequalities, Galerkin method, L\(^∞\)-asymptotic behavior

Abstract

In this paper, a system of parabolic quasi-variational inequalities relevant to the management of energy production is considered where a quasi-optimal of error estimate on uniform norm is proved, by using semi-implicit scheme combined with Galerkin method.  Furthermore, an asymptotic behavior result in the same norm is given, taking into consideration the discrete stability properties.

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Published

2020-02-14

How to Cite

Boughaba, S., Le Hocine, M. E. A. B., & Haiour, M. (2020). L\(^∞\)-asymptotic behavior for a finite element approximation to optimal control problems. Italian Journal of Pure and Applied Mathematics, 43, 301–312. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7340

Issue

Section

Articoli - Forum Editrice

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