Reconstructions of piecewise constant conductivities by the D-bar method for electrical impedance tomography

The importance of the solution of the boundary integral equation for the exponentially growing solutions to the Schrodinger equation arising from the 2-D inverse conductivity problems is demonstrated by a study of reconstructions of simple piecewise constant conductivities on a disk from two methods of approximating the scattering transform in the D-bar method and from Calderon's linearization method.

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