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

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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Journal articles
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https://hal.inria.fr/hal-00880508
Contributor : Elodie Estecahandy <>
Submitted on : Wednesday, November 6, 2013 - 11:59:28 AM
Last modification on : Wednesday, July 24, 2019 - 4:02:06 PM

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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, De Gruyter, 2013, ⟨10.1515/jip-2012-0098⟩. ⟨hal-00880508⟩

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