Optimal control in coefficients for elliptic variational inequalities and optimality conditions
Igor Bock, Ján Lovíšek (1989)
Commentationes Mathematicae Universitatis Carolinae
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Igor Bock, Ján Lovíšek (1989)
Commentationes Mathematicae Universitatis Carolinae
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Igor Bock, Ján Lovíšek (1993)
Kybernetika
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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...
A. Bounabat, T. Benkiran, M. Akkouchi (1994)
Extracta Mathematicae
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V. Janković (1981)
Matematički Vesnik
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