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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 12, Pages 2112–2126
DOI: https://doi.org/10.31857/S004446690003556-2 (Mi zvmmf10808) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Identification of the thermal conductivity coefficient using a given surface heat flux

V. I. Zubova, A. F. Albuab

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 (8)
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DOI: https://doi.org/10.31857/S004446690003556-2
Abstract: The inverse problem of determining a 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 surface heat flux 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: 30.04.2018
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 12, Pages 2031–2042
DOI: https://doi.org/10.1134/S0965542518120023
Bibliographic databases:
Document Type: Article
UDC: 519.653:519.658
Language: Russian
Citation: V. I. Zubov, A. F. Albu, “Identification of the thermal conductivity coefficient using a given surface heat flux”, Zh. Vychisl. Mat. Mat. Fiz., 58:12 (2018), 2112–2126; Comput. Math. Math. Phys., 58:12 (2018), 2031–2042
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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