Regularization of state-constrained elliptic optimal control problems with nonlocal radiation interface conditions

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Date

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1235

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WIAS Preprints

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Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik

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Abstract

A state-constrained optimal control problem with nonlocal radiation interface conditions arising from the modeling of crystal growth processes is considered. The problem is approximated by a Moreau-Yosida type regularization. Optimality conditions for the regularized problem are derived and the convergence of the regularized problems is shown. In the last part of the paper, some numerical results are presented.

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