"On a problem of ultrasonic tomography"
Goncharsky A.V., Romanov S.Yu.

The aim of this paper is to solve inverse coefficient problems for wave equations. A method based on the direct computation of the gradient of the residual functional by solving the conjugate problem for a partial differential equation is proposed. Some results of computer simulations are discussed. It is shown that the method is high efficient. These results allow us to make a further progress in the development of high-resolution 3D ultrasonic tomographs.

Keywords: inverse coefficient problems, wave equation, Helmholtz equation, computer simulation, tomography, parallel computing

Goncharsky A.V.   e-mail: gonchar@srcc.msu.ru;   Romanov S.Yu.   e-mail: romanov60@gmail.com