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Inverse coefficient problems for variational inequalities: optimality conditions and numerical realization
journal contributionposted on 2023-06-07, 22:30 authored by Michael Hintermueller
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.
JournalESAIM: Mathematical Modelling and Numerical Analysis
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