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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Article dans une revue
Journal of Inverse and Ill-posed Problems, De Gruyter, 2013, 〈10.1515/jip-2012-0098〉
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https://hal.inria.fr/hal-00880508
Contributeur : Elodie Estecahandy <>
Soumis le : mercredi 6 novembre 2013 - 11:59:28
Dernière modification le : samedi 10 mars 2018 - 15:24:01

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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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