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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 10, Pages 1725–1732
DOI: https://doi.org/10.7868/S0044466916100094 (Mi zvmmf10469) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Control of complex heat transfer on producing extremal fields

G. V. Grenkinab, A. Yu. Chebotarevab

a Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok, Russia
b Far Eastern Federal University, Vladivostok, Russia
Full-text PDF (185 kB) Citations (5)
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DOI: https://doi.org/10.7868/S0044466916100094
Abstract: A time-dependent model of complex heat transfer including the $P_1$ approximation for the equation of radiative transfer is considered. The problem of finding the coefficient in the boundary condition from a given interval, providing the minimum (maximum) temperature and radiation intensity in the entire domain is formulated. The solvability of the control problem is proven, conditions for optimality are obtained, and an iterative algorithm for finding the optimal control is found.
Key words: radiative heat transfer, diffusion approximation, boundary condition, optimality condition, iterative algorithm.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00037_а
Received: 28.10.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 10, Pages 1708–1715
DOI: https://doi.org/10.1134/S0965542516100092
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: G. V. Grenkin, A. Yu. Chebotarev, “Control of complex heat transfer on producing extremal fields”, Zh. Vychisl. Mat. Mat. Fiz., 56:10 (2016), 1725–1732; Comput. Math. Math. Phys., 56:10 (2016), 1708–1715
Citation in format AMSBIB
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    • This publication is cited in the following 5 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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