DOI: https://doi.org/10.26089/NumMet.v16r447

An iterative method for determining the shape and conductivity of a homogeneous inclusion in the two-dimensional electrical impedance tomography problem

Authors

  • S.V. Gavrilov

Keywords:

electrical impedance tomography
piecewise constant conductivity
iterative method
Tikhonov regularization method

Abstract

The problem of electrical impedance tomography in a bounded two-dimensional domain with a piecewise two-valued constant electrical conductivity is considered. It is required to determine an unknown boundary between the regions of different conductivities and to obtain the conductivity in one of these regions using the input information on the electric field measured on the outer boundary of the domain. An iterative method for solving this problem is proposed. The corresponding numerical results are discussed.

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Published

2015-09-06

Issue

Vol. 16 (2015): Issue 4.

Section

Section 1. Numerical methods and applications

Author Biography

S.V. Gavrilov

Lomonosov Moscow State University,
Faculty of Computational Mathematics and Cybernetics
• Junior Researcher

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