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 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:hbz:386-kluedo-13676
ER -