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Reconstruction of Elastic Inclusions of Small Volume via Dynamic Measurements

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Abstract

We consider the inverse problem of identifying locations and certain properties of the shapes of small elastic inclusions in a homogeneous background medium from dynamic boundary measurements for a finite interval in time. Using particular background solutions as weights, we present an asymptotic method based on appropriate averaging of the dynamic boundary measurements and propose non-iterative algorithms for solving our inverse problem.

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Authors and Affiliations

  1. Centre de Mathematiques Appliquees, Ecole Polytechnique, 91128 Palaiseau Cedex, France

    Habib Ammari

  2. School of Mathematical Sciences, Seoul National University, Seoul 151-747, Korea

    Hyeonbae Kang

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  1. Habib Ammari
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  2. Hyeonbae Kang
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Correspondence to Habib Ammari or Hyeonbae Kang.

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Ammari, H., Kang, H. Reconstruction of Elastic Inclusions of Small Volume via Dynamic Measurements. Appl Math Optim 54, 223–235 (2006). https://doi.org/10.1007/s00245-006-0859-0

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  • DOI: https://doi.org/10.1007/s00245-006-0859-0

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