Control of an elliptic problem with pointwise state constraints
SIAM Journal on Control and Optimization
The Primal-Dual Active Set Strategy as a Semismooth Newton Method
SIAM Journal on Optimization
SIAM Journal on Control and Optimization
Computational Optimization and Applications
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This work is devoted to stationary optimal control problems with polygonal constraints on the components of the state. Existence of Lagrange multipliers, of different regularities, is verified for the cases with and without Slater condition holding. For the numerical realization a semismooth Newton method is proposed for an appropriately chosen family of regularized problems. The asymptotic behavior of the regularized problem class is studied, and numerical feasibility of the method is shown.