Geodesic
On a problem of ultrasonic tomography
Numerical methods and programming, Tome 12 (2011) no. 3, pp. 317-320.

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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. 
@article{VMP_2011_12_3_a1,
     author = {A. V. Goncharsky and S. Yu. Romanov},
     title = {On a problem of ultrasonic tomography},
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     publisher = {mathdoc},
     volume = {12},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2011_12_3_a1/}
}
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A. V. Goncharsky; S. Yu. Romanov. On a problem of ultrasonic tomography. Numerical methods and programming, Tome 12 (2011) no. 3, pp. 317-320. http://geodesic.mathdoc.fr/item/VMP_2011_12_3_a1/