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Dal'nevostochnyi Matematicheskii Zhurnal, 2022, Volume 22, Number 2, Pages 158–163
DOI: https://doi.org/10.47910/FEMJ202217 (Mi dvmg480) 		 
Penalty method to solve an optimal control problem for a quasilinear parabolic equation

A. Yu. Chebotarevab, N. M. Parkbc, P. R. Mesenevb, A. E. Kovtanyukbd

a Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
b Far Eastern Federal University, Vladivostok
c Amur State University, Blagoveshchensk, Amur region
d Technische Universität München
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DOI: https://doi.org/10.47910/FEMJ202217
Abstract: An optimal control problem for a quasilinear parabolic equation simulating the radiative and conductive heat transfer in a bounded three-dimensional domain under constraints on the solution in a given subdomain is considered. The solvability of the optimal control problem is proved. An algorithm for solving the problem, based on the penalty method, is proposed.
Key words: Non-linear PDE system, radiative heat transfer, optimal control, penalty method.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2022-880
This work was supported by the Ministry of Science and Higher Education of the Russian Federation (Project No. 122082400001-8 and Agreement No. 075-02-2022-880).
Received: 17.06.2022
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: Primary 35K59; Secondary 49J20
Language: English
Citation: A. Yu. Chebotarev, N. M. Park, P. R. Mesenev, A. E. Kovtanyuk, “Penalty method to solve an optimal control problem for a quasilinear parabolic equation”, Dal'nevost. Mat. Zh., 22:2 (2022), 158–163
Citation in format AMSBIB
\Bibitem{CheParMes22}
\by A.~Yu.~Chebotarev, N.~M.~Park, P.~R.~Mesenev, A.~E.~Kovtanyuk
\paper Penalty method to solve an optimal control problem for a quasilinear parabolic equation
\jour Dal'nevost. Mat. Zh.
\yr 2022
\vol 22
\issue 2
\pages 158--163
\mathnet{http://mi.mathnet.ru/dvmg480}
\crossref{https://doi.org/10.47910/FEMJ202217}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4529951}
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