Numerical testing in determination of sound speed from a part of boundary by the BC-method
Autor: | Belishev, M. I., Ivanov, I. B., Kubyshkin, I. V., Semenov, V. S. |
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Rok vydání: | 2015 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | We present the results of numerical testing on determination of the sound speed $c$ in the acoustic equation $u_{tt}-c^2\Delta u=0$ by the ${\it boundary}$ ${control}$ ${method}$. The inverse data is a response operator (a hyperbolic Dirichlet-to-Neumann map) given on controls, which are supported on ${\it a part}$ of the boundary. The speed is determined in the subdomain covered by acoustic rays, which are emanated from the points of this part orthogonally to the boundary. The determination is ${\it time-optimal}$: the longer is the observation time, the larger is the subdomain, in which $c$ is recovered. The numerical results are preceded with brief exposition of the relevant variant of the BC-method. Comment: 35 pages, 17 figures |
Databáze: | arXiv |
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