Geodesic
The determination of medium density, velocity and absorption coefficient for acoustic wave
Matematičeskoe modelirovanie, Tome 11 (1999) no. 10, pp. 62-76.

Voir la notice de l'article provenant de la source Math-Net.Ru

The results of numerical solution of the inverse problem for the acoustics equations are presented. The ID distributions of medium density, velocity and absorption coefficient of acoustic waves are determined. The problem is solved within the frequency range by the optimization method. The Newton method is used as minimization algorithm. A multi-level adaptive algorithm based on a variable number of points in spatial representation of the desired values, which requires less calculations by factor of 2 or 3 as compared to a nonadaptive algorithm, is proposed. The efficiencies of a multi-level adaptive algorithm and a non-adaptive one are compared. Values of optimal constants of multi-level method are presented. 
@article{MM_1999_11_10_a4,
     author = {A. F. Mastryukov},
     title = {The determination of medium density, velocity and absorption coefficient for acoustic wave},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {62--76},
     publisher = {mathdoc},
     volume = {11},
     number = {10},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1999_11_10_a4/}
}
TY  - JOUR
AU  - A. F. Mastryukov
TI  - The determination of medium density, velocity and absorption coefficient for acoustic wave
JO  - Matematičeskoe modelirovanie
PY  - 1999
SP  - 62
EP  - 76
VL  - 11
IS  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_1999_11_10_a4/
LA  - ru
ID  - MM_1999_11_10_a4
ER  - 
%0 Journal Article
%A A. F. Mastryukov
%T The determination of medium density, velocity and absorption coefficient for acoustic wave
%J Matematičeskoe modelirovanie
%D 1999
%P 62-76
%V 11
%N 10
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_1999_11_10_a4/
%G ru
%F MM_1999_11_10_a4
A. F. Mastryukov. The determination of medium density, velocity and absorption coefficient for acoustic wave. Matematičeskoe modelirovanie, Tome 11 (1999) no. 10, pp. 62-76. http://geodesic.mathdoc.fr/item/MM_1999_11_10_a4/