TY - JOUR

T1 - Numerics of acoustical 2D tomography based on the conservation laws

AU - Kabanikhin, Sergey I.

AU - Klyuchinskiy, Dmitriy V.

AU - Novikov, Nikita S.

AU - Shishlenin, Maxim A.

PY - 2020/4

Y1 - 2020/4

N2 - 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.

AB - 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.

KW - Acoustics

KW - coefficient inverse problem

KW - conservation laws

KW - Godunov scheme

KW - optimization method

KW - INVERSE PROBLEM

KW - RECONSTRUCTION

KW - MODEL

KW - SIMULATION

KW - SPATIAL DISTRIBUTIONS

KW - WAVES

KW - ABSORPTION

KW - SOUND-VELOCITY

KW - ULTRASOUND TOMOGRAPHY

UR - http://www.scopus.com/inward/record.url?scp=85082703889&partnerID=8YFLogxK

U2 - 10.1515/jiip-2019-0061

DO - 10.1515/jiip-2019-0061

M3 - Article

AN - SCOPUS:85082703889

VL - 28

SP - 287

EP - 297

JO - Journal of Inverse and Ill-Posed Problems

JF - Journal of Inverse and Ill-Posed Problems

SN - 0928-0219

IS - 2

ER -