6 papers
Differentiability of the value function in control-constrained parabolic problems
Alberto DomÃnguez Corella, Nicolai Jork, Stefan Volkwein
Along the optimal trajectory of an optimal control problem constrained by a semilinear parabolic partial differential equation, we prove the differentiability of the value function…
Error estimates for an unregularized optimal control problem for the stationary Navier-Stokes equations
Francisco Fuica, Nicolai Jork
We consider an unregularized optimal control problem subject to the steady-state Navier-Stokes equations. We derive the existence of optimal solutions and prove first- and second-o…
Second-Order Conditions for Infinite-Horizon Semilinear Parabolic Control Problems without Tikhonov Regularization
Eduardo Casas, Nicolai Jork
We consider semilinear parabolic optimal control problems subject to Neumann boundary conditions, control constraints, and an infinite time horizon. The control constraints are poi…
Adaptive finite element method for an unregularized semilinear optimal control problem
Francisco Fuica, Nicolai Jork
We devise an a posteriori error estimator for an affine optimal control problem subject to a semilinear elliptic PDE and control constraints. To approximate the problem, we conside…
Strong metric (sub)regularity in optimal control
Nicolai A. Jork, Nikolai P. Osmolovskii, Vladimir M. Veliov
This is mainly a survey on the properties of Strong Metric Regularity (SMR) and Strong Metric subRegularity (SMsR) of mappings representing first order optimality conditions (so-ca…
Finite element error analysis of affine optimal control problems
Nicolai Jork
This paper is concerned with error estimates for the numerical approximation for affine optimal control problems subject to semilinear elliptic PDEs. To investigate the error estim…