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Dal'nevostochnyi Matematicheskii Zhurnal, 2023, Volume 23, Number 1, Pages 81–84
DOI: https://doi.org/10.47910/FEMJ202307 (Mi dvmg508) 		 
Optimization method for solving the inverse problem of complex heat transfer

P. R. Mesenev

Far Eastern Federal University, Vladivostok
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DOI: https://doi.org/10.47910/FEMJ202307
Abstract: An optimization method for solving the inverse problem for stationary equations of complex heat transfer with an unspecified boundary condition for the radiation intensity on part of the boundary and an overdetermination condition on the other part of the boundary is proposed. An analysis of a boundary optimal control problem is presented and it is shown that the sequence of solutions of control problems converges to the solution of the inverse problem.
Key words: equations of radiative-conductive heat transfer, diffusion approximation, inverse problem, optimal control problem.
Funding agency Grant number
Russian Science Foundation 23-21-00087
The research was supported by the Russian Scientific Foundation (Project No. 23-21-00087).
Received: 26.01.2023
Document Type: Article
UDC: 517.95
MSC: Primary 35J60; Secondary 35N25, 80A23, 80M50
Language: English
Citation: P. R. Mesenev, “Optimization method for solving the inverse problem of complex heat transfer”, Dal'nevost. Mat. Zh., 23:1 (2023), 81–84
Citation in format AMSBIB
\Bibitem{Mes23}
\by P.~R.~Mesenev
\paper Optimization method for solving the inverse problem of complex heat transfer
\jour Dal'nevost. Mat. Zh.
\yr 2023
\vol 23
\issue 1
\pages 81--84
\mathnet{http://mi.mathnet.ru/dvmg508}
\crossref{https://doi.org/10.47910/FEMJ202307}
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