TY  - INPR
A1  - Pereverzyev, Sergiy
A1  - Pinnau, Rene
A1  - Siedow, Norbert
T1  - Initial Temperature Reconstruction for a Nonlinear Heat Equation: Application to Radiative Heat Transfer
N2  - 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.
T3  - Berichte der Arbeitsgruppe Technomathematik (AGTM Report) - 261 
KW  - initial temperature reconstruction
KW  - radiative heat transfer
KW  - inverse problem
KW  - numerics
Y1  - 2005
UR  - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1607
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-13676
ER  -