On the existence of optimal processes
Rolf Klötzler (1976)
Banach Center Publications
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Rolf Klötzler (1976)
Banach Center Publications
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Igor Bock, Ján Lovíšek (1989)
Commentationes Mathematicae Universitatis Carolinae
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Anton Schiela, Daniel Wachsmuth (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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In the article an optimal control problem subject to a stationary variational inequality is investigated. The optimal control problem is complemented with pointwise control constraints. The convergence of a smoothing scheme is analyzed. There, the variational inequality is replaced by a semilinear elliptic equation. It is shown that solutions of the regularized optimal control problem converge to solutions of the original one. Passing to the limit in the optimality system of the regularized...
Zvi Artstein (1993)
Forum mathematicum
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Alexander Zaslavski (2008)
Control and Cybernetics
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Jan Sokołowski (1987)
Banach Center Publications
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Michael Hintermüller (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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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...
Noor, Muhammad Aslam (2008)
Banach Journal of Mathematical Analysis [electronic only]
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