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

Gustafsson, Mats LU and He, Sailing (1997) In Technical Report LUTEDX/(TEAT-7064)/1-15/(1997) TEAT-7064.
Abstract
An optimization approach to a multi-dimensional acoustic inverse problem

in the time domain is considered. The density and/or the velocity 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
Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7064)/1-15/(1997)
volume
TEAT-7064
pages
15 pages
publisher
[Publisher information missing]
language
English
LU publication?
yes
id
62e444d5-880c-4876-b605-ff198c1428fc (old id 530395)
date added to LUP
2007-09-07 08:17:09
date last changed
2016-04-16 10:35:51
@misc{62e444d5-880c-4876-b605-ff198c1428fc,
  abstract     = {An optimization approach to a multi-dimensional acoustic inverse problem<br/><br>
in the time domain is considered. The density and/or the velocity are reconstructed<br/><br>
by minimizing an objective functional. By introducing dual functions<br/><br>
and using the Gauss divergence theorem, the gradient of the objective<br/><br>
functional is found as an explicit expression. The parameters are then reconstructed<br/><br>
by an iterative algorithm (the conjugate gradient method). The<br/><br>
reconstruction algorithm is tested with noisy data, and these tests indicate<br/><br>
that the algorithm is stable and robust. The computation time for the reconstruction<br/><br>
is greatly improved when the analytic gradient is used.},
  author       = {Gustafsson, Mats and He, Sailing},
  language     = {eng},
  pages        = {15},
  publisher    = {ARRAY(0x8d2eaf0)},
  series       = {Technical Report LUTEDX/(TEAT-7064)/1-15/(1997)},
  title        = {An optimization approach to multi-dimensional time domain acoustic inverse problems},
  volume       = {TEAT-7064},
  year         = {1997},
}