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Licensed Unlicensed Requires Authentication Published by De Gruyter August 3, 2013

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

  • Hélène Barucq EMAIL logo , Rabia Djellouli and Elodie Estecahandy

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.

MSC: 65N21; 35J05

Funding source: Inria Carnot Institute

Funding source: ISIFoR Carnot Institute

Received: 2012-12-11
Published Online: 2013-08-03
Published in Print: 2014-02-01

© 2014 by Walter de Gruyter Berlin/Boston

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