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A direct algorithm for ultrasound imaging of internal corrosion

Title
A direct algorithm for ultrasound imaging of internal corrosion
Authors
Ammari H.Kang H.Kim E.Lim M.Louati K.
Ewha Authors
김은주
Issue Date
2011
Journal Title
SIAM Journal on Numerical Analysis
ISSN
0036-1429JCR Link
Citation
vol. 49, no. 3, pp. 1177 - 1193
Indexed
SCI; SCIE; SCOPUS WOS scopus
Abstract
We develop a direct (noniterative) algorithm to address the inverse problem of identifying a collection of disjoint internal corrosive parts of small Hausdorff measures in pipelines from exterior ultrasound boundary measurements. The method is based on an asymptotic expansion of the effect of the corrosion in terms of the size of the corrosive parts. We numerically test the validity of the asymptotic formula at high frequencies. We also propose a simple procedure to remove high-frequency instabilities in our inversion procedure. We illustrate our main findings with a variety of computational examples. © 2011 Society for Industrial and Applied Mathematics.
DOI
10.1137/100784710
Appears in Collections:
연구기관 > 수리과학연구소 > Journal papers
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