# Integral equation methods for the inverse obstacle problem with generalized impedance boundary condition

```@article{Cakoni2013IntegralEM,
title={Integral equation methods for the inverse obstacle problem with generalized impedance boundary condition},
author={Fioralba Cakoni and Rainer Kress},
journal={Inverse Problems},
year={2013},
volume={29},
pages={015005}
}```
• Published 2013
• Mathematics
• Inverse Problems
Determining the shape of an inclusion within a conducting medium from voltage and current measurements on the accessible boundary of the medium can be modeled as an inverse boundary value problem for the Laplace equation. We present a solution method for such an inverse boundary value problem with a generalized impedance boundary condition on the inclusion via boundary integral equations. Both the determination of the unknown boundary and the determination of the unknown impedance functions are…

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