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Summary: Reconstruction of Elastic Inclusions of Small Volume via
Dynamic Measurements
Habib Ammari
Centre de Math´ematiques Appliqu´ees
Ecole Polytechnique
91128 Palaiseau Cedex, France
ammari@cmapx.polytechnique.fr
Hyeonbae Kang
School of Mathematical Sciences
Seoul National University
Seoul 151-747, Korea
hkang@math.snu.ac.kr
March 14, 2005
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 as weights particular background solutions, we present an asymp-
totic method based on appropriate averaging of the dynamic boundary measurements and propose
non-iterative algorithms for solving our inverse problem.
Mathematics subject classifications (MSC2000): 35B30
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