2006
DOI: 10.1088/0266-5611/23/1/002
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The factorization method in inverse elastic scattering from penetrable bodies

Abstract: The present work is concerned with the extension of the factorization method to the inverse elastic scattering problem by penetrable isotropic bodies embedded in an isotropic host environment for time-harmonic plane wave incidence. Although the former method has been successfully employed for the shape reconstruction problem in the field of elastodynamic scattering by rigid bodies or cavities, no corresponding results have been recorded, so far, for the very interesting (both from a theoretical and a practical… Show more

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Cited by 72 publications
(68 citation statements)
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“…In contrast to [7], the data operator in our problem is not normal and its non-selfadjoint part is not positive. Further, we replace the low-frequency approach in [7] by exploiting properties of layer potentials for ω = i.…”
Section: The Near-field Operator and Its Factorizationmentioning
confidence: 78%
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“…In contrast to [7], the data operator in our problem is not normal and its non-selfadjoint part is not positive. Further, we replace the low-frequency approach in [7] by exploiting properties of layer potentials for ω = i.…”
Section: The Near-field Operator and Its Factorizationmentioning
confidence: 78%
“…Proof The proof of the decomposition follows from Calderón identities, compare [7,Lemma 3.3]. For ω = i the single layer operator S ε ± i is selfadjoint and coercive (coercivity has been shown in the proof of Theorem 4.1).…”
Section: Properties Of the Factorizationmentioning
confidence: 99%
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