Numerical testing in determination of sound speed from a part of boundary by the BC-method

Abstract

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 $boundary$ $control$ $method$. The inverse data is a response operator (a hyperbolic Dirichlet-to-Neumann map) given on controls, which are supported on $apart$ 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 $time-optimal$: 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.

35 pages, 17 figures

Cited by in corpus (1)

• A Linearized Boundary Control Method for the Acoustic Inverse Boundary Value Problem