A new Relaxation Method for Optimal Control of Semilinear Elliptic Variational Inequalities Obstacle Problems - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Numerical Algebra, Control and Optimization Année : 2023

A new Relaxation Method for Optimal Control of Semilinear Elliptic Variational Inequalities Obstacle Problems

Résumé

In this paper, we investigate optimal control problems governed by semilinear elliptic variational inequalities involving constraints on the state, and more precisely the obstacle problem. Since we adopt a numerical point of view, we first relax the feasible domain of the problem, then using both mathematical programming methods and penalization methods we get optimality conditions with smooth Lagrange multipliers. Some numerical experiments using the Ipopt algorithm are presented to verify the efficiency of our approach.
Fichier principal
Vignette du fichier
OHB.pdf (544.38 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02892350 , version 1 (08-07-2020)

Identifiants

Citer

El Hassene Osmani, Mounir Haddou, Naceurdine Bensalem. A new Relaxation Method for Optimal Control of Semilinear Elliptic Variational Inequalities Obstacle Problems. Numerical Algebra, Control and Optimization, 2023, 13 (1), pp.169-193. ⟨10.3934/naco.2021061⟩. ⟨hal-02892350⟩
124 Consultations
49 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More