Quantity of the inverse problem data for the system of conservation laws | Sciact - Система учета научной деятельности ИМ СО РАН

Quantity of the inverse problem data for the system of conservation laws Научная публикация

Конференция

11th International Scientific Conference and Young Scientist School on Theory and Computational Methods for Inverse and Ill-posed Problems
26 авг. - 4 сент. 2019 , Novosibirsk

Журнал

Journal of Physics: Conference Series
ISSN: 1742-6588 , E-ISSN: 1742-6596

Вых. Данные

Год: 2021, Том: 2092, Номер: 1, Номер статьи : 012020, Страниц : DOI: 10.1088/1742-6596/2092/1/012020

Авторы

Klyuchinskiy D.V. ^1,2 , Novikov N.S. ^1,2 , Shishlenin M.A. ^1,2,3

Организации

1	Novosibirsk State University, Russian Federation
2	Institute of Computational Mathematics and Mathematical Geophysics, Novosibirsk, Russian Federation
3	Sobolev Institute of Mathematics, Novosibirsk, Russian Federation

Информация о финансировании (1)

Российский научный фонд

19-11-00154

In this paper we study properties of the model, that describes the plane acoustic waves propagation. The model is based on the hyperboliv system of PDE, which is solved numerically by using the finite-volume method, based on Godunov scheme. After studying the direct problem we turn to the inverse one, where our goal is to recover the parameters of the system of PDE by using the initial data, measured in the receivers. We obtain the formula for the gradient of the misfits functional, which allows us to apply gradient-based optimization for recovering the density of the medium. We present the results of numerical experiments for different number of receivers, thus, studying the influence of the quantity of the data of inverse problem on the accuracy of the solution. © 2021 Institute of Physics Publishing. All rights reserved.

Klyuchinskiy D.V. , Novikov N.S. , Shishlenin M.A.
Quantity of the inverse problem data for the system of conservation laws
Journal of Physics: Conference Series. 2021. V.2092. N1. 012020 . DOI: 10.1088/1742-6596/2092/1/012020 Scopus OpenAlex

Scopus:	2-s2.0-85123994646
OpenAlex:	W4200111994

БД	Цитирований
Scopus	1