Clinical trials have shown that hyperthermia (HT), ie an increase of tissue temperature to 39–
44° C, significantly enhance radiotherapy and chemotherapy effectiveness [1]. Driven by the …

Die mathematische Optimierung von Vorgängen, die durch partielle Differentialgleichungen
modelliert werden, hat in den letzten Jahren einen beachtlichen Aufschwung genommen …

We study barrier methods for state constrained optimal control problems with PDEs. The
focus of our analysis is the path of minimizers of the barrier subproblems with the aim to …

The prevalence of uncertainty in models of engineering and the natural sciences
necessitates the inclusion of random parameters in the underlying partial differential …

This paper provides a detailed analysis of a primal-dual interior-point method for PDE-
constrained optimization. Considered are optimal control problems with control constraints …

Hyperthermia is a relatively new, highly promising treatment modality for various types of
cancer. Energy is focused on the tumor and heats it, which has been shown to be beneficial …

The paper addresses a primal interior point method for state-constrained PDE optimal
control problems in function space. By a Lavrentiev regularization, the state constraint is …

In this paper, two approaches are used to solve a class of the distributed optimal control
problems defined on rectangular domains. In the first approach, a meshless method for …

We focus on optimal control problems governed by partial differential equations. The
presence of constraints on the state provides numerical and analytical difficulties. We treat …

A primal interior point method for control constrained optimal control problems with PDE
constraints is considered. Pointwise elimination of the control leads to a homotopy in the …