Numerical method for determining the inhomogeneity boundary in the electrical impedance tomography problem in the case of piecewise constant conductivity

A two-dimentional electrical impedance tomography problem in case of piecewise constant electrical conductivity taking two known values is considered. The task is to determine the unknown boundary separating regions with different conductivity values. Initial data represents several pairs of current and voltage distributions on the outer boundary of an object. A numerical method for determining the unknown boundary is proposed, numerical results are presented.