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Zh. Vychisl. Mat. Mat. Fiz., 2018, Volume 58, Number 4, Pages 561–574 (Mi zvmmf10719)  

Low-cost numerical method for solving a coefficient inverse problem for the wave equation in three-dimensional space

A. B. Bakushinskiia, A. S. Leonovb

a Institute for Systems Analysis, Federal Research Center Computer Science and Control, Russian Academy of Sciences, Moscow, Russia
b National Research Nuclear University MEPhI, Moscow, Russia

Abstract: For the acoustic-sensing problem of determining the characteristics of a local inhomogeneity scattering a wave field in three-dimensional space, a numerical algorithm is proposed and justified that is efficient in terms of computational resources and CPU time. The algorithm is based on the fast Fourier transform, which is used under certain a priori assumptions on the character of the inhomogeneity and the observation domain of the scattered field. Typical numerical results obtained by solving this inverse problem with simulated data on a personal computer are presented, which demonstrate the capabilities of the algorithm.

Key words: three-dimensional wave equation, coefficient inverse problem, regularizing algorithm, fast Fourier transform.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation 02.a03.21.0005
Russian Foundation for Basic Research 16-01-00039_a
15-01-00026_


DOI: https://doi.org/10.7868/S0044466918040075

References: PDF file   HTML file

English version:
Computational Mathematics and Mathematical Physics, 2018, 58:4, 548–561

Bibliographic databases:

UDC: 519.663
Received: 17.02.2017
Revised: 15.06.2017

Citation: A. B. Bakushinskii, A. S. Leonov, “Low-cost numerical method for solving a coefficient inverse problem for the wave equation in three-dimensional space”, Zh. Vychisl. Mat. Mat. Fiz., 58:4 (2018), 561–574; Comput. Math. Math. Phys., 58:4 (2018), 548–561

Citation in format AMSBIB
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