Control of an elliptic problem with pointwise state constraints
SIAM Journal on Control and Optimization
Boundary control of semilinear elliptic equations with pointwise state constraints
SIAM Journal on Control and Optimization
Primal-Dual Strategy for Constrained Optimal Control Problems
SIAM Journal on Control and Optimization
Augmented Lagrangian methods for nonsmooth, convex optimization in Hilbert spaces
Nonlinear Analysis: Theory, Methods & Applications
Primal-Dual Strategy for State-Constrained Optimal Control Problems
Computational Optimization and Applications
The Primal-Dual Active Set Strategy as a Semismooth Newton Method
SIAM Journal on Optimization
The Primal-Dual Active Set Method for Nonlinear Optimal Control Problems with Bilateral Constraints
SIAM Journal on Control and Optimization
Optimal Control of a Semilinear PDE with Nonlocal Radiation Interface Conditions
SIAM Journal on Control and Optimization
SIAM Journal on Optimization
Computational Optimization and Applications
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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.