Barrier methods for a control problem from hyperthermia treatment planning
Please always quote using this URN: urn:nbn:de:0297-zib-11567
- 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. Further, we report on a numerical implementation of such a method and its performance at an example problem.
Author: | Anton Schiela, Martin WeiserORCiD |
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Document Type: | ZIB-Report |
Tag: | barrier methods; hyperthermia treatment planning; optimal control |
MSC-Classification: | 49-XX CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX] / 49Jxx Existence theories / 49J20 Optimal control problems involving partial differential equations |
92-XX BIOLOGY AND OTHER NATURAL SCIENCES / 92Cxx Physiological, cellular and medical topics / 92C50 Medical applications (general) | |
Date of first Publication: | 2009/11/18 |
Series (Serial Number): | ZIB-Report (09-36) |
ISSN: | 1438-0064 |
ZIB-Reportnumber: | 09-36 |