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Applied Mathematics and Optimization

, Volume 54, Issue 2, pp 223–235 | Cite as

Reconstruction of Elastic Inclusions of Small Volume via Dynamic Measurements

  • Habib AmmariEmail author
  • Hyeonbae KangEmail author
Article

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.

Keywords

Inverse Problem Asymptotic Expansion Background Solution Boundary Measurement Elastic Inclusion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer 2006

Authors and Affiliations

  1. 1.Centre de Mathematiques Appliquees, Ecole Polytechnique, 91128 Palaiseau CedexFrance
  2. 2.School of Mathematical Sciences, Seoul National University, Seoul 151-747Korea

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