## 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.

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Author: Sergiy Pereverzyev, Rene Pinnau, Norbert Siedow urn:nbn:de:hbz:386-kluedo-13676 Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (261) Preprint English 2005 2005 Technische Universität Kaiserslautern 2005/02/04 initial temperature reconstruction ; inverse problem ; numerics; radiative heat transfer Fachbereich Mathematik 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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