Initial Temperature Reconstruction for a Nonlinear Heat Equation: Application to Radiative Heat Transfer
- Consider a cooling process described by a nonlinear heat equation. We are interested to recover the initial temperature from temperature measurements which are available on a part of the boundary for some time. Up to now even for the linear heat equation such a problem has been usually studied as a nonlinear ill-posed operator equation, and regularization methods involving Frechet derivatives have been applied. We propose a fast derivative-free iterative method. Numerical results are presented for the glass cooling process, where nonlinearity appears due to radiation.
Verfasser*innenangaben: | Sergiy Pereverzyev, Rene Pinnau, Norbert Siedow |
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URN: | urn:nbn:de:hbz:386-kluedo-13676 |
Schriftenreihe (Bandnummer): | Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (261) |
Dokumentart: | Preprint |
Sprache der Veröffentlichung: | Englisch |
Jahr der Fertigstellung: | 2005 |
Jahr der Erstveröffentlichung: | 2005 |
Veröffentlichende Institution: | Technische Universität Kaiserslautern |
Datum der Publikation (Server): | 04.02.2005 |
Freies Schlagwort / Tag: | initial temperature reconstruction; inverse problem; numerics; radiative heat transfer |
Fachbereiche / Organisatorische Einheiten: | Kaiserslautern - Fachbereich Mathematik |
DDC-Sachgruppen: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
Lizenz (Deutsch): | Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |