Identification of Temperature Dependent Parameters in Radiative Heat Transfer

  • Laser-induced thermotherapy (LITT) is an established minimally invasive percutaneous technique of tumor ablation. Nevertheless, there is a need to predict the effect of laser applications and optimizing irradiation planning in LITT. Optical attributes (absorption, scattering) change due to thermal denaturation. The work presents the possibility to identify these temperature dependent parameters from given temperature measurements via an optimal control problem. The solvability of the optimal control problem is analyzed and results of successful implementations are shown.

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Author:Oliver Tse, René Pinnau, Norbert Siedow
URN (permanent link):urn:nbn:de:hbz:386-kluedo-16543
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (275)
Document Type:Preprint
Language of publication:English
Year of Completion:2010
Year of Publication:2010
Publishing Institute:Technische Universität Kaiserslautern
Tag:Radiative heat transfer ; SPn-approximation ; optimal control ; parameter identification
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:510 Mathematik
MSC-Classification (mathematics):22E46 Semisimple Lie groups and their representations
53C35 Symmetric spaces [See also 32M15, 57T15]
57S20 Noncompact Lie groups of transformations

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