On the numerical reconstruction of the three-dimensional density of the medium in the acoustic system of equations Научная публикация
Журнал |
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304 |
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Вых. Данные | Год: 2024, Том: 21, Номер: 2, Страницы: A82-A98 Страниц : 16 DOI: 10.33048/semi.2024.21.A05 | ||||
Ключевые слова | 3Dultrasoundtomography, gradient method, optimization, 3Dcoe cient inverse problem, hyperbolic acoustics system, Godunov method. | ||||
Авторы |
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Организации |
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Информация о финансировании (1)
1 | Российский научный фонд | 19-11-00154 |
Реферат:
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.
Библиографическая ссылка:
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
Даты:
Поступила в редакцию: | 1 нояб. 2023 г. |
Опубликована в печати: | 31 дек. 2024 г. |
Опубликована online: | 31 дек. 2024 г. |
Идентификаторы БД:
Scopus: | 2-s2.0-85216939991 |
Цитирование в БД:
Пока нет цитирований