An implementation of the reconstruction algorithm of A Nachman for the 2D inverse conductivity problem

The 2D inverse conductivity problem requires one to determine the unknown e lectrical conductivity distribution inside a bounded domain Omega subset of R-2 from knowledge of the Dirichlet-to-Neumann map. The problem has geophy sical, industrial, and medical imaging (electrical impedance tomography) ap plications. In 1996 A Nachman proved that the Dirichlet-to-Neumann map uniquely determi nes C-2 conductivities. The proof, which is constructive, outlines a direct method for reconstructing the conductivity. In this paper we present an im plementation of the algorithm in Nachman's proof. The paper includes numeri cal results obtained by applying the general algorithms described to two ra dially symmetric cases of small and large contrast.