Numerical method for solving a three-dimentional electrical impedance tomography problem in case of data given on part of the boundary

A three-dimentional electrical impedance tomography problem in case of object with a piecewise constant electrical conductivity is considered. The task is to determine the unknown boundary separating regions of object with different conductivity values, which are assumed to be known. Initial data for determination of inhomogeneity boundary represents electrical measurements taken on part of the object boundary. A numerical method for solving the problem is proposed, and numerical results are presented.