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Journal Articles Numerische Mathematik Year : 2007

A MUSIC-type Algorithm for Detecting Internal Corrosion from Electrostatic Boundary Measurements

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Abstract

We establish an asymptotic representation formula for the steady state currents caused by internal corrosive parts of small Hausdorff measures. Based on this formula, we design a non-iterative method of MUSIC (multiple signal classification) type for localizing the corrosive parts from voltage-to-current observations.
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Dates and versions

hal-00125787 , version 1 (22-01-2007)
hal-00125787 , version 2 (08-11-2007)

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Cite

Habib Ammari, Hyeonbae Kang, Eunjoo Kim, Kaouthar Louati, Michael S. Vogelius. A MUSIC-type Algorithm for Detecting Internal Corrosion from Electrostatic Boundary Measurements. Numerische Mathematik, 2007, 108 (4), pp.501-528, ISSN:0029-599X. ⟨10.1007/s00211-007-0130-x⟩. ⟨hal-00125787v2⟩
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