An optimization approach to multi-dimensional time domain acoustic inverse problems
Author
Summary, in English
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.
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.
Publishing year
1997
Language
English
Publication/Series
Technical Report LUTEDX/(TEAT-7064)/1-15/(1997)
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Document type
Report
Publisher
[Publisher information missing]
Topic
- Other Electrical Engineering, Electronic Engineering, Information Engineering
- Electrical Engineering, Electronic Engineering, Information Engineering
Status
Published
Report number
TEAT-7064
Research group
- Electromagnetic theory