A fully Discrete Approximation for a Control Problem of Parabolic Variational Inequalities

Maïtine Bergounioux and Hasnaa Zidani

2002

Publication type:

Paper in peer-reviewed journals

Journal:

SIAM Journal on Numerical Analysis, vol. 39(6), pp. 2014-2033

DOI:

10.1137/S0036142900373403

HAL:

hal-00990198

Abstract:

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 we give convergence results. Copyright © 2002 Society for Industrial and Applied Mathematics

BibTeX:

@article{Ber-Zid-2002,
    author={Maïtine Bergounioux and Hasnaa Zidani },
    title={A fully Discrete Approximation for a Control Problem of 
           Parabolic Variational Inequalities },
    doi={10.1137/S0036142900373403 },
    journal={SIAM Journal on Numerical Analysis },
    year={2002 },
    volume={39(6) },
    pages={2014--2033},
}