A variational algorithm for electrical impedance tomography

The problem of computing the coefficient function p in the elliptic differe ntial equation del. (p(x)Vu) = 0, x is an element of Omega subset of R-n, n greater than or equal to 2, over a bounded region Omega, from a knowledge of the Dirichlet-Neumann map for this equation, is of interest in electrica l impedance tomography. A new approach to the computation of p involving th e minimization of an associated functional is presented. The algorithm is s imple to implement and robust in the presence of noise in the Dirichlet-Neu mann data.