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


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.


Inverse Problem Asymptotic Expansion Background Solution Boundary Measurement Elastic Inclusion 
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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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