FM-BEM and topological derivative applied to inverse acoustic scattering - Archive ouverte HAL Accéder directement au contenu
Chapitre D'ouvrage Année : 2007

FM-BEM and topological derivative applied to inverse acoustic scattering

Résumé

This study is set in the framework of inverse scattering of scalar (e.g. acoustic) waves. A qualitative probing technique based on the distribution of topological sensitivity of the cost functional associated with the inverse problem with respect to the nucleation of an infinitesimally-small hard obstacle is formulated. The sensitivity distribution is expressed as a bilinear formula involving the free field and an adjoint field associated with the cost function. These fields are computed by means of a boundary element formulation accelerated by the Fast Multipole method. A computationally fast approach for performing a global preliminary search based on the available overspecified boundary data is thus defined. Its usefulness is demonstrated through results of numerical experiments on the qualitative identification of a hard obstacle in a bounded acoustic domain, for configurations featuring O(105) nodal unknowns and O(106) sampling points.
Fichier principal
Vignette du fichier
bonnet_nemitz.pdf (1.18 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00121987 , version 1 (22-12-2006)

Licence

Paternité - Pas d'utilisation commerciale

Identifiants

Citer

Marc Bonnet, Nicolas Nemitz. FM-BEM and topological derivative applied to inverse acoustic scattering. M. Schanz, O. Steinbach. Boundary element analysis: mathematical aspects and applications, Springer, pp.187-212, 2007, ⟨10.1007/978-3-540-47533-0_8⟩. ⟨hal-00121987⟩
175 Consultations
103 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More