Characterization of the Fréchet derivative of the elasto-acoustic field with respect to Lipschitz domains - Archive ouverte HAL Access content directly
Journal Articles Journal of Inverse and Ill-posed Problems Year : 2013

Characterization of the Fréchet derivative of the elasto-acoustic field with respect to Lipschitz domains

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Abstract

We establish the continuous Fréchet differentiability of the elasto-acoustic field with respect to Lipschitz continuous deformation of the shape of an elastic scatterer. We then characterize the derivative as a solution of a direct elasto-acoustic-type problem. Such a characterization has the potential to advance the state-of-the-art of the solution of inverse elasto-acoustic scattering problems.
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Dates and versions

hal-00880508 , version 1 (06-11-2013)

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Hélène Barucq, Rabia Djellouli, Elodie Estecahandy. Characterization of the Fréchet derivative of the elasto-acoustic field with respect to Lipschitz domains. Journal of Inverse and Ill-posed Problems, 2013, ⟨10.1515/jip-2012-0098⟩. ⟨hal-00880508⟩
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