The problem of computing the coefficient function p in the elliptic differential equation , , , over a bounded region , from a knowledge of the Dirichlet-Neumann map for this equation, is of interest in electrical impedance tomography. A new approach to the computation of p involving the minimization of an associated functional is presented. The algorithm is simple to implement and robust in the presence of noise in the Dirichlet-Neumann data.
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Ian Knowles (1998) studied this question.
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