Error estimates of a difference approximation method for a backward heat conduction problem.
Xiong, Xiang-Tuan, Fu, Chu-Li, Qian, Zhi, Gao, Xiang (2006)
International Journal of Mathematics and Mathematical Sciences
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Xiong, Xiang-Tuan, Fu, Chu-Li, Qian, Zhi, Gao, Xiang (2006)
International Journal of Mathematics and Mathematical Sciences
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Qian, Zhi, Fu, Chu-Li, Xiong, Xiang-Tuan (2005)
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International Journal of Mathematics and Mathematical Sciences
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George, Santhosh, Nair, M. Thamban (2003)
International Journal of Mathematics and Mathematical Sciences
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Sara Beddiaf, Laurent Autrique, Laetitia Perez, Jean-Claude Jolly (2016)
International Journal of Applied Mathematics and Computer Science
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Inverse three-dimensional heat conduction problems devoted to heating source localization are ill posed. Identification can be performed using an iterative regularization method based on the conjugate gradient algorithm. Such a method is usually implemented off-line, taking into account observations (temperature measurements, for example). However, in a practical context, if the source has to be located as fast as possible (e.g., for diagnosis), the observation horizon has to be reduced....
Shidfar, A., Zakeri, A., Neisi, A. (2005)
International Journal of Mathematics and Mathematical Sciences
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Fatullayev, Afet Golayoğlu (2002)
Mathematical Problems in Engineering
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Sandro Manservisi, Knut Heusermann (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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This paper is concerned with some optimal control problems for the Stefan-Boltzmann radiative transfer equation. The objective of the optimisation is to obtain a desired temperature profile on part of the domain by controlling the source or the shape of the domain. We present two problems with the same objective functional: an optimal control problem for the intensity and the position of the heat sources and an optimal shape design problem where the top surface is sought as control....