| Abstract: |
| In this talk, we will consider the inverse shape problem coming from electrical impedance tomography with a Robin transmission condition. We consider the case where we have small volume regions. By writing the corresponding Dirichlet-to-Neumann mapping (i.e. the current gap operator) as an integral operator, we will use the small volume assumption to derive an asymptotic expansion for the mapping. From this, we will derive a MUSIC-type algorithm that can be used to recover the regions of interest. Numerical examples will be presented in two dimensions for the unit circle. |
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