Regularization of state-constrained elliptic optimal control problems with nonlocal radiation interface conditions
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- 作者：C. Meyer and I. Yousept
- 关键词：Nonlinear optimal control ; Nonlocal radiation interface conditions ; State constraints ; First ; order necessary conditions ; Second ; order sufficient conditions ; Moreau ; Yosida approximation
- 刊名：Computational Optimization and Applications
- 出版年：2009
- 出版时间：November, 2009
- 年：2009
- 卷：44
- 期：2
- 页码：183-212
- 全文大小：1.5 MB
文摘
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.