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An optimization approach to multi-dimensional time domain acoustic inverse problems

Gustafsson, Mats LU and He, Sailing (2000) In J. Acoust. Soc. Am. 108(4). p.56-1548
Abstract
An optimization approach to a multi-dimensional acoustic inverse problem in the time domain is considered. The density and/or the sound speed are reconstructed by minimizing an objective functional. By introducing dual functions and using the Gauss divergence theorem, the gradient of the objective functional is found as an explicit expression. The parameters are then reconstructed by an iterative algorithm (the conjugate gradient method). The reconstruction algorithm is tested with noisy data, and these tests indicate that the algorithm is stable and robust. The computation time for the reconstruction is greatly improved when the analytic gradient is used.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
J. Acoust. Soc. Am.
volume
108
issue
4
pages
56 - 1548
publisher
American Institute of Physics
external identifiers
  • scopus:0033774031
ISSN
1520-8524
DOI
10.1121/1.1289369
language
English
LU publication?
yes
id
8b6aeb32-be2f-45b9-a8ae-0aa567981eb1 (old id 143263)
date added to LUP
2007-07-05 09:40:02
date last changed
2017-01-01 06:40:25
@article{8b6aeb32-be2f-45b9-a8ae-0aa567981eb1,
  abstract     = {An optimization approach to a multi-dimensional acoustic inverse problem in the time domain is considered. The density and/or the sound speed are reconstructed by minimizing an objective functional. By introducing dual functions and using the Gauss divergence theorem, the gradient of the objective functional is found as an explicit expression. The parameters are then reconstructed by an iterative algorithm (the conjugate gradient method). The reconstruction algorithm is tested with noisy data, and these tests indicate that the algorithm is stable and robust. The computation time for the reconstruction is greatly improved when the analytic gradient is used.},
  author       = {Gustafsson, Mats and He, Sailing},
  issn         = {1520-8524},
  language     = {eng},
  number       = {4},
  pages        = {56--1548},
  publisher    = {American Institute of Physics},
  series       = {J. Acoust. Soc. Am.},
  title        = {An optimization approach to multi-dimensional time domain acoustic inverse problems},
  url          = {http://dx.doi.org/10.1121/1.1289369},
  volume       = {108},
  year         = {2000},
}