Numerics of acoustical 2D tomography based on the conservation laws

被引：10

作者：

Kabanikhin, Sergey, I ^{[1
,2
,3
,4
]}

Klyuchinskiy, Dmitriy, V ^{[1
,3
]}

Novikov, Nikita S. ^{[1
,2
,3
]}

Shishlenin, Maxim A. ^{[1
,2
,3
,4
]}

机构：

[1] Math Ctr Akademgorodok, Pirogova St 2, Novosibirsk 630090, Russia

[2] Inst Computat Math & Math Geophys, Akad Lavrentieva 6, Novosibirsk 630090, Russia

[3] Novosibirsk State Univ, Pirogova St 2, Novosibirsk 630090, Russia

[4] Sobolev Inst Math, Akad Koptyug Ave 4, Novosibirsk 630090, Russia

来源：

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS | 2020年 / 28卷 / 02期

基金：

俄罗斯科学基金会;

关键词：

Acoustics; conservation laws; coefficient inverse problem; optimization method; Godunov scheme; ULTRASOUND TOMOGRAPHY; INVERSE PROBLEM; SPATIAL DISTRIBUTIONS; SOUND-VELOCITY; RECONSTRUCTION; ABSORPTION; SIMULATION; WAVES; MODEL;

D O I：

10.1515/jiip-2019-0061

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：287 / 297

页数：11

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