Inverse coefficient problems for variational inequalities: optimality conditions and numerical realization

Hintermueller, Michael (2001) Inverse coefficient problems for variational inequalities: optimality conditions and numerical realization. ESAIM: Mathematical Modelling and Numerical Analysis, 35 (1). pp. 129-152. ISSN 0764-583X

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Abstract

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.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Depositing User: EPrints Services
Date Deposited: 06 Feb 2012 19:18
Last Modified: 09 Jul 2012 13:32
URI: http://sro.sussex.ac.uk/id/eprint/19994
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