An optimization approach to multi-dimensional time domain acoustic inverse problems
(2000) In Journal of the Acoustical Society of America 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/143263
- author
- Gustafsson, Mats LU and He, Sailing
- organization
- publishing date
- 2000
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of the Acoustical Society of America
- volume
- 108
- issue
- 4
- pages
- 56 - 1548
- publisher
- American Institute of Physics (AIP)
- 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
- 2016-04-01 15:28:34
- date last changed
- 2022-04-13 12:01:18
@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 (AIP)}}, series = {{Journal of the Acoustical Society of America}}, title = {{An optimization approach to multi-dimensional time domain acoustic inverse problems}}, url = {{http://dx.doi.org/10.1121/1.1289369}}, doi = {{10.1121/1.1289369}}, volume = {{108}}, year = {{2000}}, }