The Newton-Kantorovich computational method is applied to the inverse problem of reconstructing a conductivity from given boundary measurements. The authors provide the theoretical analysis necessary to provide rigorous derivations of the Frechet differential. Linearisations of the non-linear problem are examined and a numerical procedure for reconstructing general conductivities is suggested. This procedure is illustrated by reconstructing one-dimensional conductivities.
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Connolly et al. (1988) studied this question.
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