  We propose a new numerical method to reconstruct the isotropic electrical
conductivity from measured restricted Dirichlet-to-Neumann map data in
electrical impedance tomography (EIT) model. "Restricted Dirichlet-to-Neumann
(DtN) map data" means that the Dirichlet and Neumann boundary data for EIT are
generated by a point source running either along an interval of a straight line
or along a curve located outside of the domain of interest. We "convexify" the
problem via constructing a globally strictly convex Tikhonov-like functional
using a Carleman Weight Function. In particular, two new Carleman estimates are
established. Global convergenceto the correct solution of the gradient
projection method for this functional is proven. Numerical examples demonstrate
a good performance of this numerical procedure.
