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

journal contribution
posted 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.

History

Publication status

  • Published

Journal

ESAIM: Mathematical Modelling and Numerical Analysis

ISSN

0764-583X

Publisher

EDP Sciences

Issue

1

Volume

35

Page range

129-152

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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