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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 10, Pages 1640–1655
DOI: https://doi.org/10.31857/S004446690003584-3 (Mi zvmmf10791) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Identification of thermal conductivity coefficient using a given temperature field

A. F. Albua, V. I. Zubovba

a Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, Moscow, Russia
b Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Russia
Citations (16)
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DOI: https://doi.org/10.31857/S004446690003584-3
Abstract: The problem of determining the temperature-dependent thermal conductivity coefficient is studied. The study is based on the Dirichlet boundary value problem for the two-dimensional nonstationary heat equation. The cost functional is defined as the rms deviation of the temperature field from experimental data. For the numerical solution of the problem, an algorithm based on the modern fast automatic differentiation technique is proposed. Examples of solving the posed problem are given.
Key words: heat conduction, inverse coefficient problems, gradient, heat equation, adjoint equations, numerical algorithm.
Funding agency Grant number
Russian Foundation for Basic Research 17-07-00493_a
Received: 28.11.2017
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 10, Pages 1585–1599
DOI: https://doi.org/10.1134/S0965542518100032
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: A. F. Albu, V. I. Zubov, “Identification of thermal conductivity coefficient using a given temperature field”, Zh. Vychisl. Mat. Mat. Fiz., 58:10 (2018), 1640–1655; Comput. Math. Math. Phys., 58:10 (2018), 1585–1599
Citation in format AMSBIB
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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