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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
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.
Authors Klyuchinskiy D.V. 1 , Novikov N.S. 1,2 , Shishlenin M.A. 1,2
Affiliations
1 Institute of Computational Mathematics and Mathematical Geophysics
2 Sobolev Institute of Mathematics

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
Dates:
Submitted: Nov 1, 2023
Published print: Dec 31, 2024
Published online: Dec 31, 2024
Identifiers:
Scopus: 2-s2.0-85216939991
Citing: Пока нет цитирований
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