Virtual Resistive Network and Conductivity Reconstruction with Faraday’s Law
نویسندگان
چکیده
Network based conductivity reconstruction method is introduced using the third Maxwell’s equation, or Faraday’s law, for a static case. The usual choice in electrical impedance tomography is the divergence free equation of the electrical current density. However, if the electrical current density is given, the curl free equation of the electrical field gives a direct relation between the current and conductivity and this relation is used in this paper. Mimetic discretization is applied to the equation, which gives the virtual resistive network system. Properties of the introduced numerical schemes are investigated and its advantage over other conductivity reconstruction methods is discussed. Numerically simulated results with an analysis of noise propagation are presented.
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