Numerics of acoustical 2D tomography based on the conservation laws-Reference-Cited by-同舟云学术

Numerics of acoustical 2D tomography based on the conservation laws

Published:2020-04-01 Issue:2 Volume:28 Page:287-297
ISSN:1569-3945
Container-title:Journal of Inverse and Ill-posed Problems
language:
Short-container-title:

Author:

Kabanikhin Sergey I.¹,Klyuchinskiy Dmitriy V.²,Novikov Nikita S.³,Shishlenin Maxim A.¹

Affiliation:

1. Mathematical Center in Akademgorodok, Pirogova St., 2, 630090, Novosibirsk; and Institute of Computational Mathematics and Mathematical Geophysics, Akad. Lavrentieva avenue, 6; and Sobolev Institute of Mathematics, Akad. Koptyug avenue, 4; and Novosibirsk State University, Pirogova St., 2, 630090, Novosibirsk, Russia

2. Mathematical Center in Akademgorodok, Pirogova St., 2, 630090, Novosibirsk; and Novosibirsk State University, Pirogova St., 2, 630090, Novosibirsk, Russia

3. Mathematical Center in Akademgorodok, Pirogova St., 2, 630090, Novosibirsk; and Institute of Computational Mathematics and Mathematical Geophysics, Akad. Lavrentieva avenue, 6; and Novosibirsk State University, Pirogova St., 2, 630090, Novosibirsk, Russia

Abstract

AbstractWe investigate the mathematical modeling of the 2D acoustic waves propagation, based on the conservation laws. The hyperbolic first-order system of partial differential equations is considered and solved by the method of S. K. Godunov. The inverse problem of reconstructing the density and the speed of sound of the medium is considered. We apply the gradient method to reconstruct the parameters of the medium. The gradient of the functional is obtained. Numerical results are presented.

Funder

Russian Science Foundation

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/jiip-2019-0061/pdf

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