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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 1, Pages 18–28
DOI: https://doi.org/10.31857/S0044466920010056 (Mi zvmmf11011) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Application of the fast automatic differentiation technique for solving inverse coefficient problems

A. F. Albuab, Yu. G. Evtushenkoab, V. I. Zubovab

a Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow
b Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region
Citations (8)
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DOI: https://doi.org/10.31857/S0044466920010056
Abstract: Results obtained by the authors in solving inverse coefficient problems are overviewed. The inverse problem under consideration is to determine a temperature-dependent thermal conductivity coefficient from experimental observations of the temperature field in the studied substance and (or) the heat flux on the surface of the object. The study is based on the Dirichlet boundary value problem for the nonstationary heat equation stated in the general $n$-dimensional formulation. For this general case, an analytical expression for the cost functional gradient is obtained. The features of solving the inverse problem and the difficulties encountered in the solution process are discussed.
Key words: heat conduction, inverse coefficient problems, gradient, heat equation, numerical algorithm.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00307а
20-07-00385а
This work was supported in part by the Russian Science Foundation, project no. 20-11-20081.
Received: 18.06.2019
Revised: 18.06.2019
Accepted: 18.09.2019
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 1, Pages 15–25
DOI: https://doi.org/10.1134/S0965542520010042
Bibliographic databases:
Document Type: Article
UDC: 533.6.011.5
Language: Russian
Citation: A. F. Albu, Yu. G. Evtushenko, V. I. Zubov, “Application of the fast automatic differentiation technique for solving inverse coefficient problems”, Zh. Vychisl. Mat. Mat. Fiz., 60:1 (2020), 18–28; Comput. Math. Math. Phys., 60:1 (2020), 15–25
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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