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.
Publié le : 1997-07-05
Classification:
Variational inequalities,
Optimal control,
Lagrange multipliers,
Variational inequalities.,
49J20, 49K20,
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
@article{hal-00023024,
author = {Bergounioux, Ma\"\i tine},
title = {Optimal Control of an Obstacle Problem},
journal = {HAL},
volume = {1997},
number = {0},
year = {1997},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00023024}
}
Bergounioux, Maïtine. Optimal Control of an Obstacle Problem. HAL, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/hal-00023024/