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A Modification of gradient descent method for solving coefficient inverse problem for acoustics equations Научная публикация

Журнал Computation
, E-ISSN: 2079-3197
Вых. Данные Год: 2020, Том: 8, Номер: 3, Номер статьи : 73, Страниц : DOI: 10.3390/COMPUTATION8030073
Ключевые слова Acoustics; First-order hyperbolic system; Godunov method; Gradient descent method; Inverse problem; Tomography
Авторы Klyuchinskiy D. 1,2 , Novikov N. 1,2 , Shishlenin M. 1,2,3
Организации
1 Department of Mathematics and Mechanics, Novosibirsk State University, Novosibirsk, 630090, Russian Federation
2 Institute of Computational Mathematics and Mathematical Geophysics, Novosibirsk, 630090, Russian Federation
3 Sobolev Institute of Mathematics, Novosibirsk, 630090, Russian Federation

Реферат: We investigate the mathematical model of the 2D acoustic waves propagation in a heterogeneous domain. The hyperbolic first order system of partial differential equations is considered and solved by the Godunov method of the first order of approximation. This is a direct problem with appropriate initial and boundary conditions. We solve the coefficient inverse problem (IP) of recovering density. IP is reduced to an optimization problem, which is solved by the gradient descent method. The quality of the IP solution highly depends on the quantity of IP data and positions of receivers. We introduce a new approach for computing a gradient in the descent method in order to use as much IP data as possible on each iteration of descent. © 2020 by the authors.
Библиографическая ссылка: Klyuchinskiy D. , Novikov N. , Shishlenin M.
A Modification of gradient descent method for solving coefficient inverse problem for acoustics equations
Computation. 2020. V.8. N3. 73 . DOI: 10.3390/COMPUTATION8030073 WOS Scopus OpenAlex
Идентификаторы БД:
Web of science: WOS:000578297100001
Scopus: 2-s2.0-85090595430
OpenAlex: W3065075035
Цитирование в БД:
БД Цитирований
Scopus 18
OpenAlex 12
Web of science 11
Альметрики: