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JOURNALS // Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta // Archive

Izv. IMI UdGU, 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

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.

UDC: 519.63

MSC: 35J57, 49M30

Received: 28.09.2015



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