5 papers · 1 filter
A globalized inexact semismooth Newton method for strongly convex optimal control problems
Daniel Wachsmuth
We investigate a globalized inexact semismooth Newton method applied to strongly convex optimization problems in Hilbert spaces. Here, the semismooth Newton method is appplied to t…
Continuous differentiability of the signum function and Newton's method for bang-bang control
Daniel Wachsmuth, Gerd Wachsmuth
We investigate bang-bang control problems and the possibility to apply Newton's method to solve such kind of problems numerically. To this end, we show that the signum function is…
Control in the coefficients of an elliptic differential operator: topological derivatives and Pontryagin maximum principle
Daniel Wachsmuth
We consider optimal control problems, where the control appears in the main part of the operator. We derive the Pontryagin maximum principle as a necessary optimality condition. Th…
A numerical solution approach for non-smooth optimal control problems based on the Pontryagin maximum principle
Daniel Wachsmuth
We consider nonsmooth optimal control problems subject to a linear elliptic partial differential equation with homogeneous Dirichlet boundary conditions. It is well-known that loca…
A topological derivative-based algorithm to solve optimal control problems with control cost
Daniel Wachsmuth
In this paper, we consider optimization problems with -cost of the controls. Here, we take the support of the control as independent optimization variable. Topological derivat…