A SQP-Augmented LagrangianMethod for Optimal Control of Semilinear Elliptic Variational Inequalities

Maïtine Bergounioux (1) , Mounir Haddou (1)

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

We investigate optimal control problems governed by semilinear elliptic variational inequalities involving constraints on the control. We present an augmented Lagrangian method coupled with a Gauss-Seidel type splitting to solve a relaxed problem which is a good approximation of the genuine one. Implementation is based on SQP methods.

Domaines: Optimisation et contrôle [math.OC]

Maïtine Bergounioux, Mounir Haddou (Dir.). A SQP-Augmented LagrangianMethod for Optimal Control of Semilinear Elliptic Variational Inequalities. Desch. Birkhauser, pp. 58-73, 2003. ⟨hal-00022019⟩