Numerical conditioning analysis of two-dimensional problems in electrical impedance tomography

A two-dimensional problem of electrical impedance tomography with a piecewise constant electrical conductivity with two known values is considered. It is required to determine the unknown boundary between the domains of different conductivities. The measurements of electric field characteristics on the outer boundary of the medium under study are used as initial data. The numerical conditioning analysis of this problem is performed with a respect to the type and number of electrical potential excitations at the outer boundary. It is assumed that the class of curves representing the unknown inhomogeneity boundary is defined by a finite set of parameters. With a certain accuracy of initial data, the electrical impedance problem is solved numerically in this class of curves.