Electrical impedance tomography with resistor networks

@article{Borcea2008ElectricalIT,
  title={Electrical impedance tomography with resistor networks},
  author={Liliana Borcea and Vladimir Druskin and Fernando Guevara Vasquez},
  journal={Inverse Problems},
  year={2008},
  volume={24},
  pages={035013}
}
We introduce a novel inversion algorithm for electrical impedance tomography in two dimensions, based on a model reduction approach. The reduced models are resistor networks that arise in five point stencil discretizations of the elliptic partial differential equation satisfied by the electric potential, on adaptive grids that are computed as part of the problem. We prove the unique solvability of the model reduction problem for a broad class of measurements of the Dirichlet-to-Neumann map. The… 
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