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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2023, Volume 20, Issue 2, Pages 1474–1489
DOI: https://doi.org/doi.org/10.33048/semi.2023.20.091 (Mi semr1654) 		 
Computational mathematics

On the reconstruction of the absorption coefficient for the 2D acoustic system

M. A. Shishleninabc, N. A. Savchenkoac, N. S. Novikovabc, D. V. Klyuchinskiya

a Institute of Computational Mathematics and Mathematical Geophysics, pr. Lavrentieva, 6, 630090, Novosibirsk, Russia
b Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia
c Novosibirsk State University, Pirogova str., 1, 630090, Novosibirsk, Russia
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DOI: https://doi.org/doi.org/10.33048/semi.2023.20.091
Abstract: We consider the coefficient inverse problem for the 2D system of acoustics. Our goal is to recover the coefficient of acoustic attenuation by using the additional information of the wave-field in the number of receivers. We obtain the gradient of the cost functional and implement the numerical algorithm for solving the inverse problem, based on a optimization approach. We provide the numerical results of recovering the absorption coefficient and study its influence on the efficiency of reconstructing other parameters of the system. By taking into account the absorption of the sounding wave we aim to bring the mathematical model closer to the applications, related to the ultrasound tomography of the human tissue.
Keywords: tomography, first-order hyperbolic system, inverse problem, gradient descent method, acoustic attenuation.
Funding agency Grant number
Russian Science Foundation 19-11-00154
The work was supported by Russian Science Foundation, grant 19-11-00154 “Developing of new mathematical models of acoustic tomography in medicine. Numerical methods, HPC and software”.
Received August 17, 2023, published December 12, 2023
Document Type: Article
UDC: 519.63
MSC: 65M32,49N45
Language: English
Citation: M. A. Shishlenin, N. A. Savchenko, N. S. Novikov, D. V. Klyuchinskiy, “On the reconstruction of the absorption coefficient for the 2D acoustic system”, Sib. Èlektron. Mat. Izv., 20:2 (2023), 1474–1489
Citation in format AMSBIB
\Bibitem{ShiSavNov23}
\by M.~A.~Shishlenin, N.~A.~Savchenko, N.~S.~Novikov, D.~V.~Klyuchinskiy
\paper On the reconstruction of the absorption coefficient for the 2D acoustic system
\jour Sib. \`Elektron. Mat. Izv.
\yr 2023
\vol 20
\issue 2
\pages 1474--1489
\mathnet{http://mi.mathnet.ru/semr1654}
\crossref{https://doi.org/doi.org/10.33048/semi.2023.20.091}
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