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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2023, Volume 20, Issue 2, Pages 1079–1092
DOI: https://doi.org/doi.org/10.33048/semi.2023.20.067
(Mi semr1630)
 

Computational mathematics

Localization of discontinuity surfaces of the scattering coefficient according to the time-angular distribution of the radiation flux density

P. A. Vornovskikhab, I. V. Prokhorova

a Institute of Applied Mathematics FEB RAS, str. Radio, 7, Vladivostok, 690041, Russia
b Far Eastern Federal University, 10 Ajax Bay, Russky Island, Vladivostok, 690922, Russia
References:
Abstract: In the paper the inverse problem for the nonstationary radiative transfer equation is formulated and investigated. It consists in determining the discontinuity surfaces of the scattering coefficient by the time-angular distribution of the radiation flux density at a given point in space. A numerical method for localizing the lines of discontinuity of the required coefficient in any plane is proposed. On a number of numerical experiments applied to high-frequency acoustic sounding of an inhomogeneous fluctuating ocean, the operability of the algorithm is demonstrated and its shortcomings due to the measurement data error are indicated.
Keywords: radiative transfer equation, inverse problem, scattering coefficient, function discontinuity surfaces.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2023-946
Received November 1, 2022, published November 16, 2023
Document Type: Article
UDC: 517.958
MSC: 35Q60
Language: Russian
Citation: P. A. Vornovskikh, I. V. Prokhorov, “Localization of discontinuity surfaces of the scattering coefficient according to the time-angular distribution of the radiation flux density”, Sib. Èlektron. Mat. Izv., 20:2 (2023), 1079–1092
Citation in format AMSBIB
\Bibitem{VorPro23}
\by P.~A.~Vornovskikh, I.~V.~Prokhorov
\paper Localization of discontinuity surfaces of the scattering coefficient according to the time-angular distribution of the radiation flux density
\jour Sib. \`Elektron. Mat. Izv.
\yr 2023
\vol 20
\issue 2
\pages 1079--1092
\mathnet{http://mi.mathnet.ru/semr1630}
\crossref{https://doi.org/doi.org/10.33048/semi.2023.20.067}
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