On the reconstruction of the absorption coefficient for the 2D acoustic system Научная публикация
| Журнал |
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304 |
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| Вых. Данные | Год: 2023, Том: 20, Номер: 2, Страницы: 1474-1489 Страниц : 16 DOI: 10.33048/semi.2023.20.091 | ||||||
| Ключевые слова | tomography; rst-order hyperbolic system; inverse problem; gradient descent method; acoustic attenuation | ||||||
| Авторы |
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| Организации |
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Информация о финансировании (1)
| 1 | Российский научный фонд | 19-11-00154 |
Реферат:
We consider the cofficient inverse problem for the 2D system of acoustics. Our goal is to recover the coe cient of acoustic attenuation by using the additional information of the wave- eld in the number of receivers. We obtain the gradient of the cost functional and implement the numerical algorithm for solving the inverse problem, based on a optimization approach. We provide the numerical results of recovering the absorption coe cient and study its inuence on the e ciency 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.
Библиографическая ссылка:
Shishlenin M.A.
, Savchenko N.A.
, Novikov N.S.
, Klyuchinskiy D.V.
On the reconstruction of the absorption coefficient for the 2D acoustic system
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2023. Т.20. №2. С.1474-1489. DOI: 10.33048/semi.2023.20.091 WOS Scopus
On the reconstruction of the absorption coefficient for the 2D acoustic system
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2023. Т.20. №2. С.1474-1489. DOI: 10.33048/semi.2023.20.091 WOS Scopus
Даты:
| Поступила в редакцию: | 17 авг. 2023 г. |
| Опубликована в печати: | 12 дек. 2023 г. |
| Опубликована online: | 12 дек. 2023 г. |
Идентификаторы БД:
| Web of science: | WOS:001164415800013 |
| Scopus: | 2-s2.0-85183136791 |