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

Journal Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304
Output data Year: 2023, Volume: 20, Number: 2, Pages: 1474-1489 Pages count : 16 DOI: 10.33048/semi.2023.20.091
Tags tomography; rst-order hyperbolic system; inverse problem; gradient descent method; acoustic attenuation
Authors Shishlenin M.A. 1,2,3 , Savchenko N.A. 1,3 , Novikov N.S. 1,2,3 , Klyuchinskiy D.V. 3
Affiliations
1 Institute of Computational Mathematics and Mathematical Geophysics
2 Sobolev Institute of Mathematics
3 Novosibirsk State University

Funding (1)

1 Russian Science Foundation 19-11-00154

Abstract: We consider the cofficient inverse problem for the 2D system of acoustics. Our goal is to recover the coe cient of acoustic attenuation by using the additional information of the wave- eld 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 coe cient and study its inuence on the e ciency 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.
Cite: Shishlenin M.A. , Savchenko N.A. , Novikov N.S. , Klyuchinskiy D.V.
On the reconstruction of the absorption coefficient for the 2D acoustic system
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2023. Т.20. №2. С.1474-1489. DOI: 10.33048/semi.2023.20.091 WOS Scopus
Dates:
Submitted: Aug 17, 2023
Published print: Dec 12, 2023
Published online: Dec 12, 2023
Identifiers:
Web of science: WOS:001164415800013
Scopus: 2-s2.0-85183136791
Citing:
DB Citing
Web of science 1
Scopus 3
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