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.
Publié le : 2002-07-05
Classification:
Error estimates,
Discrete Approximations for Control Problems,
State constraints,
Unbounded controls,
AMS 49J20, 49M25,
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
@article{hal-00022024,
author = {Bergounioux, Ma\"\i tine and Zidani, Housnaa},
title = {A Fully Discrete Approximation for Control Problems governed by Parabolic Variational Inequalities},
journal = {HAL},
volume = {2002},
number = {0},
year = {2002},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00022024}
}
Bergounioux, Maïtine; Zidani, Housnaa. A Fully Discrete Approximation for Control Problems governed by Parabolic Variational Inequalities. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00022024/