A Fully Discrete Approximation for Control Problems governed by Parabolic Variational Inequalities

Maïtine Bergounioux (1) , Housnaa Zidani (1)

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

In this work we consider a numerical approximation of an optimal control problem governed by variational inequalities. We use a total discretization scheme: implicit Euler discretization with respect to the time variable and finite element method for the space variable, and give convergence results.

Mots clés: Error estimates; Discrete Approximations for Control Problems; State constraints; Unbounded controls

Domaines: Optimisation et contrôle [math.OC]

Maïtine Bergounioux, Housnaa Zidani. A Fully Discrete Approximation for Control Problems governed by Parabolic Variational Inequalities. SIAM Journal on Numerical Analysis, 2002, 39, n°6, pp.2014-2033. ⟨hal-00022024⟩