We present a smooth, i.e. differentiable regularization of the projection formula that occurs in constrained parabolic optimal control problems. We summarize the optimality conditions in functionâ€¦ (More)

In Neitzel et al. (Strategies for time-dependent PDE control using an integrated modeling and simulation environment. Part one: problems without inequality constraints. Technical Report 408, Matheon,â€¦ (More)

In the rst part of this article, we have shown how time-dependent optimal control for partial di erential equations can be realized in a modern high-level modeling and simulation package. In thisâ€¦ (More)

In this paper we study Lavrentiev-type regularization concepts for linear-quadratic parabolic control problems with pointwise state constraints. In the first part, we apply classical Lavrentievâ€¦ (More)

Moreau-Yosida and Lavrentiev type regularization methods are considered for nonlinear optimal control problems governed by semilinear parabolic equations with bilateral pointwise control and stateâ€¦ (More)

In this paper we derive a priori error estimates for linear-quadratic elliptic optimal control problems with finite dimensional control space and state constraints in the whole domain, which can beâ€¦ (More)

In this paper a class of semilinear elliptic optimal control problem with pointwise state and control constraints is studied. We show that sufficient second order optimality conditions forâ€¦ (More)

We develop sufficient optimality conditions for a Moreau-Yosida regularized optimal control problem governed by a semilinear elliptic PDE with pointwise constraints on the state and the control. Weâ€¦ (More)

We study a class of semilinear elliptic optimal control problems with pointwise state constraints. The purpose of this paper is twofold. First, we present convergence results for the finite elementâ€¦ (More)

In this work a-posteriori error estimates for linear-quadratic optimal control problems governed by parabolic equations are considered. Different error estimation techniques for finite elementâ€¦ (More)