A numerical method for solving a three-dimensional electrical impedance tomography problem in the case of the data given on part of the boundary

Abstract

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