Recovering Density and Speed of Sound Coefficients in the 2D Hyperbolic System of Acoustic Equations of the First Order by a Finite Number of Observations

Recovering Density and Speed of Sound Coefficients in the 2D Hyperbolic System of Acoustic Equations of the First Order by a Finite Number of Observations

We consider the coefficient inverse problem for the first-order hyperbolic system, which describes the propagation of the 2D acoustic waves in a heterogeneous medium. We recover both the denstity of the medium and the speed of sound by using a finite number of data measurements. We use the second-or...

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Bibliographic Details
Main Authors: Dmitriy Klyuchinskiy, Nikita Novikov, Maxim Shishlenin
Format: Article
Language:English
Published: MDPI AG 2021-01-01
Series:Mathematics
Subjects:
acoustics
tomography
first-order hyperbolic system
inverse problem
Godunov method
gradient descent method
Online Access:https://www.mdpi.com/2227-7390/9/2/199

Internet

https://www.mdpi.com/2227-7390/9/2/199

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