On the numerical reconstruction of the three-dimensional density of the medium in the acoustic system of equations Full article
Journal |
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304 |
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Output data | Year: 2024, Volume: 21, Number: 2, Pages: A82-A98 Pages count : 16 DOI: 10.33048/semi.2024.21.A05 | ||||
Tags | 3Dultrasoundtomography, gradient method, optimization, 3Dcoe cient inverse problem, hyperbolic acoustics system, Godunov method. | ||||
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Affiliations |
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Funding (1)
1 | Russian Science Foundation | 19-11-00154 |
Abstract:
In the article it is considered a gradient method for solving a 3D coe cient inverse problem of determining the density of a medium for a hyperbolic acoustic system using a nite number of measurements. The inverse problem is reduced to minimizing the cost functional by the gradient method. A numerical algorithm for solving the coe cient inverse problem is implemented and the gradient of the residual functional is obtained by solving the corresponding conjugate problem. Within the framework of a model experiment simulating ultrasound tomography of human tissues, the results of restoring the three-dimensional density coe cient of the medium are presented.
Cite:
Klyuchinskiy D.V.
, Novikov N.S.
, Shishlenin M.A.
On the numerical reconstruction of the three-dimensional density of the medium in the acoustic system of equations
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2024. V.21. N2. P.A82-A98. DOI: 10.33048/semi.2024.21.A05 Scopus
On the numerical reconstruction of the three-dimensional density of the medium in the acoustic system of equations
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2024. V.21. N2. P.A82-A98. DOI: 10.33048/semi.2024.21.A05 Scopus
Dates:
Submitted: | Nov 1, 2023 |
Published print: | Dec 31, 2024 |
Published online: | Dec 31, 2024 |
Identifiers:
Scopus: | 2-s2.0-85216939991 |
Citing:
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