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

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
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
Альметрики: