June 18,  19,  20   2003
 
 
 

12:00 AM - Thursday, June 19, 2003 - Amphitheater Darboux

Hyeonbae Kang

Department of Mathematics
Seoul National University
Seoul 151-747, Korea

hkang@math.snu.ac.kr

Reconstruction of Small Inhomogeneities

We establish an explicit asymptotic formula for the steady state voltage perturbations caused by closely spaced small conductivity inhomogeneities. Based on this new formula we design a very effective numerical method to identify the location and some geometric features of these inhomogeneities from a finite number of boundary measurements. For that purpose we define polarization tensors associated with multiple inclusions and prove some of their important properties. The viability of our approach is shown by numerical examples. This is a joint work with Ammari, Kim, and Lim.