Inverse problem of determining parameters of inhomogeneity of a body from acoustic field measurements
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 3, pp. 490-497
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This work is devoted to development of methods for solving inverse problems in acoustics. Propagation of an acoustic field in a body located in the free space is considered. In the inverse problem, an iterative method for reconstructing the parameters of inhomogeneity of a body from a known acoustic field is applied. The theorem on convergence of the method is proven. Numerical results for inhomogeneous bodies of complex form are presented.
@article{ZVMMF_2016_56_3_a15,
author = {R. O. Evstigneev and M. Yu. Medvedik and Yu. G. Smirnov},
title = {Inverse problem of determining parameters of inhomogeneity of a body from acoustic field measurements},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {490--497},
publisher = {mathdoc},
volume = {56},
number = {3},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_3_a15/}
}
TY - JOUR AU - R. O. Evstigneev AU - M. Yu. Medvedik AU - Yu. G. Smirnov TI - Inverse problem of determining parameters of inhomogeneity of a body from acoustic field measurements JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2016 SP - 490 EP - 497 VL - 56 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_3_a15/ LA - ru ID - ZVMMF_2016_56_3_a15 ER -
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R. O. Evstigneev; M. Yu. Medvedik; Yu. G. Smirnov. Inverse problem of determining parameters of inhomogeneity of a body from acoustic field measurements. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 3, pp. 490-497. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_3_a15/