Direct Method for Identification of Two Coefficients of Acoustic Equation
We consider the coefficient inverse problem for the 2D acoustic equation. The problem is recovering the speed of sound in the medium (which depends only on the depth) and the density (function of both variables). We describe the method, based on the Gelfand–Levitan–Krein approach, which allows us to...
Main Authors: | Nikita Novikov, Maxim Shishlenin |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2023-07-01
|
Series: | Mathematics |
Subjects: | |
Online Access: | https://www.mdpi.com/2227-7390/11/13/3029 |
Similar Items
-
A Modification of Gradient Descent Method for Solving Coefficient Inverse Problem for Acoustics Equations
by: Dmitriy Klyuchinskiy, et al.
Published: (2020-08-01) -
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
by: Dmitriy Klyuchinskiy, et al.
Published: (2021-01-01) -
Spectral, Scattering and Dynamics: Gelfand–Levitan–Marchenko–Krein Equations
by: Sergey Kabanikhin, et al.
Published: (2023-10-01) -
Modeling of 2D Acoustic Radiation Patterns as a Control Problem
by: Maxim Shishlenin, et al.
Published: (2022-03-01) -
On Some Features of the Numerical Solving of Coefficient Inverse Problems for an Equation of the Reaction-Diffusion-Advection-Type with Data on the Position of a Reaction Front
by: Raul Argun, et al.
Published: (2021-11-01)