Numerics of acoustical 2D tomography based on the conservation laws

Numerics of acoustical 2D tomography based on the conservation laws Full article

Journal

Journal of Inverse and Ill-Posed Problems
ISSN: 0928-0219 , E-ISSN: 1569-3945

Output data

Year: 2020, Volume: 28, Number: 2, Pages: 287-297 Pages count : 11 DOI: 10.1515/jiip-2019-0061

Tags

Acoustics; coefficient inverse problem; conservation laws; Godunov scheme; optimization method

Authors

Kabanikhin S.I. ² , Klyuchinskiy D.V. ³ , Novikov N.S. ¹ , Shishlenin M.A. ⁴

Affiliations

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

We 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. © 2020 Walter de Gruyter GmbH, Berlin/Boston 2020.

Kabanikhin S.I. , Klyuchinskiy D.V. , Novikov N.S. , Shishlenin M.A.
Numerics of acoustical 2D tomography based on the conservation laws
Journal of Inverse and Ill-Posed Problems. 2020. V.28. N2. P.287-297. DOI: 10.1515/jiip-2019-0061 WOS Scopus OpenAlex

Web of science:	WOS:000544306100010
Scopus:	2-s2.0-85082703889
OpenAlex:	W3007329510

DB	Citing
Scopus	17
OpenAlex	14
Web of science	10