Inverse Coefficient Problems for Variational Inequalities: Optimality Conditions and Numerical Realization
Karl-Franzens University of Graz, Department of Mathematics, Heinrichstraße 36, 8010 Graz, Austria. (firstname.lastname@example.org)
Revised: 9 November 2000
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.
Mathematics Subject Classification: 49N50 / 35R30 / 35J85
Key words: Bilevel problem / complementarity function / inverse problem / optimal control / variational inequality.
© EDP Sciences, SMAI, 2001