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Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2015, Issue 2(46), Pages 85–92 (Mi iimi306)  
Reconstruction of boundary controls in reaction–convection–diffusion model

A. I. Korotkii, Yu. V. Starodubtseva

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi, 16, Yekaterinburg, 620990, Russia
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Abstract: In this paper, the problem of reconstruction of boundary controls for the stationary reaction–convection–diffusion model is considered. This problem is ill-posed. The root mean square norm and the total variation of control are used as a stabilizer in the Tikhonov functional. Results of numerical experiments are present.
Keywords: reaction–convection–diffusion model, boundary controls, ill-posed problem, variational method.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00155
Ural Branch of the Russian Academy of Sciences 15-16-1-10
Received: 28.09.2015
Bibliographic databases:
Document Type: Article
UDC: 519.63
MSC: 35J57, 49M30
Language: Russian
Citation: A. I. Korotkii, Yu. V. Starodubtseva, “Reconstruction of boundary controls in reaction–convection–diffusion model”, Izv. IMI UdGU, 2015, no. 2(46), 85–92
Citation in format AMSBIB
\Bibitem{KorSta15}
\by A.~I.~Korotkii, Yu.~V.~Starodubtseva
\paper Reconstruction of boundary controls in reaction--convection--diffusion model
\jour Izv. IMI UdGU
\yr 2015
\issue 2(46)
\pages 85--92
\mathnet{http://mi.mathnet.ru/iimi306}
\elib{https://elibrary.ru/item.asp?id=25030028}
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