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}
}
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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