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

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Date
2007
Volume
1235
Issue
Journal
Series Titel
WIAS Preprints
Book Title
Publisher
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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Citation
Meyer, C., & Yousept, I. (2007). Regularization of state-constrained elliptic optimal control problems with nonlocal radiation interface conditions. Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
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