Small-inclusion asymptotic of misfit functionals for inverse problems in acoustics

@inproceedings{Guzina2006SmallinclusionAO,
  title={Small-inclusion asymptotic of misfit functionals for inverse problems in acoustics},
  author={Bojan B. Guzina and Marc Bonnet},
  year={2006}
}
Abstract The aim of this study is an extension and employment of the concept of topological derivative as it pertains to the nucleation of infinitesimal inclusions in a reference (i.e. background) acoustic medium. The developments are motivated by the need to develop a preliminary indicator functional that would aid the solution of inverse scattering problems in terms of a rational initial ‘guess’ about the geometry and material characteristics of a hidden (finite) obstacle; an information that… CONTINUE READING

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