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Barrier Methods for a Control Problem from Hyperthermia Treatment Planning

Title data

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 . - pp. 419-428
ISBN 978-3-642-12597-3
DOI: https://doi.org/10.1007/978-3-642-12598-0_36

Project information

Project title:
Project's official titleProject's id
DFG Research Center Matheon "Mathematics for key technologies"FZT 86

Project financing: Deutsche Forschungsgemeinschaft

Abstract in another language

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.

Further data

Item Type: Article in a book
Refereed: Yes
Additional notes: A preliminary version is published at the Konrad-Zuse-Zentrum für Informationstechnik, Berlin as ZIB-Report 09-36
Keywords: barrier methods; hyperthermia treatment planning; optimal control
Subject classification: Mathematics Subject Classification Code: 49J20 (92C50)
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Professorship Applied Mathematics (Applied Mathematics) > Professorship Applied Mathematics (Applied Mathematics) - Univ.-Prof. Dr. Anton Schiela
Profile Fields > Advanced Fields > Nonlinear Dynamics
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Professorship Applied Mathematics (Applied Mathematics)
Profile Fields
Profile Fields > Advanced Fields
Result of work at the UBT: No
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 12 Mar 2015 15:19
Last Modified: 16 Mar 2015 09:05
URI: https://eref.uni-bayreuth.de/id/eprint/8040