Regularization of state-constrained elliptic optimal control problems with nonlocal radiation interface conditions
- Meyer, Christian
- Yousept, Irwin
2010 Mathematics Subject Classification
- 35J60 49K20 49M05 65K10
- Nonlinear optimal control, nonlocal radiation interface conditions, state constraints, first-order necessary conditions, second-order sufficient conditions, Moreau-Yosida approximation
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.