Standard

On the reconstruction of the absorption coefficient for the 2D acoustic system. / Shishlenin, M. A.; Savchenko, N. A.; Novikov, N. S. и др.

в: Siberian Electronic Mathematical Reports, Том 20, № 2, 2023, стр. 1474-1489.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Shishlenin, MA, Savchenko, NA, Novikov, NS & Klyuchinskiy, DV 2023, 'On the reconstruction of the absorption coefficient for the 2D acoustic system', Siberian Electronic Mathematical Reports, Том. 20, № 2, стр. 1474-1489. https://doi.org/10.33048/semi.2023.20.091

APA

Shishlenin, M. A., Savchenko, N. A., Novikov, N. S., & Klyuchinskiy, D. V. (2023). On the reconstruction of the absorption coefficient for the 2D acoustic system. Siberian Electronic Mathematical Reports, 20(2), 1474-1489. https://doi.org/10.33048/semi.2023.20.091

Vancouver

Shishlenin MA, Savchenko NA, Novikov NS, Klyuchinskiy DV. On the reconstruction of the absorption coefficient for the 2D acoustic system. Siberian Electronic Mathematical Reports. 2023;20(2):1474-1489. doi: 10.33048/semi.2023.20.091

Author

Shishlenin, M. A. ; Savchenko, N. A. ; Novikov, N. S. и др. / On the reconstruction of the absorption coefficient for the 2D acoustic system. в: Siberian Electronic Mathematical Reports. 2023 ; Том 20, № 2. стр. 1474-1489.

BibTeX

@article{c785a78bf2be464384e08652629f0a29,
title = "On the reconstruction of the absorption coefficient for the 2D acoustic system",
abstract = "Wc 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 costfunctional 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 = "acoustic attenuation, first-order hyperbolic system, gradient-descent-method, inverse problem, tomography",
author = "Shishlenin, {M. A.} and Savchenko, {N. A.} and Novikov, {N. S.} and Klyuchinskiy, {D. V.}",
note = "The work was supported by Russian Science Foundation, grant 19-11-00154. Публикация для корректировки.",
year = "2023",
doi = "10.33048/semi.2023.20.091",
language = "English",
volume = "20",
pages = "1474--1489",
journal = "Сибирские электронные математические известия",
issn = "1813-3304",
publisher = "Sobolev Institute of Mathematics",
number = "2",

}

RIS

TY - JOUR

T1 - On the reconstruction of the absorption coefficient for the 2D acoustic system

AU - Shishlenin, M. A.

AU - Savchenko, N. A.

AU - Novikov, N. S.

AU - Klyuchinskiy, D. V.

N1 - The work was supported by Russian Science Foundation, grant 19-11-00154. Публикация для корректировки.

PY - 2023

Y1 - 2023

N2 - Wc 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 costfunctional 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.

AB - Wc 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 costfunctional 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.

KW - acoustic attenuation

KW - first-order hyperbolic system

KW - gradient-descent-method

KW - inverse problem

KW - tomography

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85183136791&origin=inward&txGid=f0865f963079fbc13dd6dcb00c5cc290

UR - https://www.mendeley.com/catalogue/be8ee452-d878-3e13-b856-8bd81d9c585a/

U2 - 10.33048/semi.2023.20.091

DO - 10.33048/semi.2023.20.091

M3 - Article

VL - 20

SP - 1474

EP - 1489

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

IS - 2

ER -

ID: 59772655