Publica
Hier finden Sie wissenschaftliche Publikationen aus den FraunhoferInstituten. Initial temperature reconstruction for nonlinear heat equation: Application to a coupled radiativeconductive heat transfer problem
 Inverse problems in science and engineering 16 (2008), Nr.1, S.5567 ISSN: 17415977 ISSN: 17415985 
 International Conference on Inverse Problems in Engineering "Theory and Practice" <5, 2005, Cambridge> 

 Englisch 
 Zeitschriftenaufsatz, Konferenzbeitrag 
 Fraunhofer ITWM () 
Abstract
In a cooling process described by a nonlinear heat equation, we are interested to recover the initial temperature from the temperature measurements that are available on a part of the boundary for some time. Up to now, even for the linear heat equation, this problem usually has been studied as a nonlinear illposed operator equation, and regularization methods involving Frchet derivatives have been applied. We propose a fast derivativefree iterative method. Numerical results are presented for the glass cooling process where the nonlinearity appears due to radiation.