Physics – Mathematical Physics
Scientific paper
2011-07-01
Physics
Mathematical Physics
Submitted to Inside Out, Mathematical Sciences Research Institute Publications
Scientific paper
We review a resistor network approach to the numerical solution of the inverse problem of electrical impedance tomography (EIT). The networks arise in the context of finite volume discretizations of the elliptic equation for the electric potential, on sparse and adaptively refined grids that we call optimal. The name refers to the fact that the grids give spectrally accurate approximations of the Dirichlet to Neumann map, the data in EIT. The fundamental feature of the optimal grids in inversion is that they connect the discrete inverse problem for resistor networks to the continuum EIT problem.
Borcea Liliana
Druskin Vladimir
Mamonov Alexander V.
Vasquez Fernando Guevara
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