Inverse problems of acoustics and electrodynamics

Inverse problems of acoustics and electrodynamics Conference Abstracts

Conference

Международная конференция, посвященная памяти академика А.В. Кряжимского "Системный анализ: моделирование и управление"
23-24 Jan 2024 , Москва

Source

Materials of the International Conference "Systems analysis: modeling and control" in memory of Academician A.V. Kryazhimskiy. 2024
Compilation, Moscow: Lomonosov Moscow State University; MAKS Press. 2024. 128 c. ISBN 978-5-317-07128-8.

Output data

Year: 2024, Pages: 29-30 Pages count : 2

Authors

Shishlenin Maxim ^1,2 , Kabanikhin Sergey ^1,2

Affiliations

1	Institute of Computational Mathematics and Mathematical Geophysics, Novosibirsk, 630090, Russia;
2	Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia

We investigate the inverse problems of acoustics and electrodynamics. We apply wave and diffusion additional information for inverse problem solution [1]. The inverse problem for wave equation (wave approximation), inverse problem for diffusion equation (diffusion approximation) and inverse problem with combined data of wave and diffusion. Such problems arise in electroacoustic tomography [4] and GPR studies [3, 5]. We analyse the ill-posednes of the inverse problem by singular value decomposition [2]. It was shown that the involvement of data from different physical processes makes it possible to improve the stability of the inverse problem.

Shishlenin M. , Kabanikhin S.
Inverse problems of acoustics and electrodynamics
In compilation Materials of the International Conference "Systems analysis: modeling and control" in memory of Academician A.V. Kryazhimskiy. 2024. – Moscow: Lomonosov Moscow State University; MAKS Press., 2024. – C.29-30. – ISBN 978-5-317-07128-8. РИНЦ

Published print:	Jun 20, 2024
Published online:	Jun 20, 2024

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