We consider the identification of a distributed parameter in an elliptic variational inequality. On the basis of an optimal control problem formulation, the application of a primal-dual penalization technique enables us to prove the existence of multipliers giving a first order characterization of the optimal solution. Concerning the parameter we consider different regularity requirements. For the numerical realization we utilize a complementarity function, which allows us to rewrite the optimality conditions as a set of equalities. Finally, numerical results obtained from a least squares type algorithm emphasize the feasibility of our approach.
@article{M2AN_2001__35_1_129_0,
author = {Hinterm\"uller, Michael},
title = {Inverse coefficient problems for variational inequalities : optimality conditions and numerical realization},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {35},
year = {2001},
pages = {129-152},
mrnumber = {1811984},
zbl = {0978.65054},
language = {en},
url = {http://dml.mathdoc.fr/item/M2AN_2001__35_1_129_0}
}
Hintermüller, Michael. Inverse coefficient problems for variational inequalities : optimality conditions and numerical realization. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 35 (2001) pp. 129-152. http://gdmltest.u-ga.fr/item/M2AN_2001__35_1_129_0/
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