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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