Optimal Control of an Obstacle Problem

Maïtine Bergounioux (1)

1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

We investigate optimal control problems governed by variational inequalities. 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.

Mots clés: Variational inequalities; Optimal control; Lagrange multipliers; Variational inequalities.

Domaines: Optimisation et contrôle [math.OC]

Maïtine Bergounioux. Optimal Control of an Obstacle Problem. Applied Mathematics and Optimization, 1997, 36, pp. 147-172. ⟨hal-00023024⟩