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
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.
three-dimensional wave equation, coefficient inverse problem, regularizing algorithm, fast Fourier transform.
Computational Mathematics and Mathematical Physics, 2018, 58:4, 548–561
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
\by A.~B.~Bakushinskii, A.~S.~Leonov
\paper Low-cost numerical method for solving a coefficient inverse problem for the wave equation in three-dimensional space
\jour Zh. Vychisl. Mat. Mat. Fiz.
\jour Comput. Math. Math. Phys.
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