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Schiela, Anton ; Weiser, Martin:
Barrier Methods for a Control Problem from Hyperthermia Treatment Planning.
In:
Recent Advances in Optimization and its Applications in Engineering. -
Berlin
: Springer
,
2010
. - S. 419-428
ISBN 978-3-642-12597-3
DOI: https://doi.org/10.1007/978-3-642-12598-0_36
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Angaben zu Projekten
| Projekttitel: |
Offizieller Projekttitel Projekt-ID FZT 86: Matheon - Mathematik für Schlüsseltechnologien: Modellierung, Simulation und Optimierung realer Prozesse 5485610 |
|---|---|
| Projektfinanzierung: |
Deutsche Forschungsgemeinschaft |
Abstract
We consider an optimal control problem from hyperthermia treatment planning and its barrier regularization. We derive basic results, which lay the groundwork for the computation of optimal solutions via an interior point path-following method in function space. Further, we report on a numerical implementation of such a method and its performance at an example problem.