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

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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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Authors and Affiliations

  1. Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, 10117, Berlin, Germany

    C. Meyer

  2. Institut für Mathematik, Technische Universität Berlin, Str. des 17. Juni 136, 10623, Berlin, Germany

    I. Yousept

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  1. C. Meyer
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  2. I. Yousept
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Correspondence to I. Yousept.

Additional information

Research partially supported by DFG Research Center Matheon, project C9: Numerical simulation and control of sublimation growth of semiconductor bulk single crystals.

I. Yousept acknowledges support through DFG Research Center Matheon (FZT 86) in Berlin.

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Meyer, C., Yousept, I. Regularization of state-constrained elliptic optimal control problems with nonlocal radiation interface conditions. Comput Optim Appl 44, 183–212 (2009). https://doi.org/10.1007/s10589-007-9151-8

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  • DOI: https://doi.org/10.1007/s10589-007-9151-8

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