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Orthotropic conductivity reconstruction with virtual‐resistive network and Faraday's law
Author(s) -
Lee MinGi,
Ko MinSu,
Kim YongJung
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3564
Subject(s) - orthotropic material , helmholtz equation , conductivity , mathematical analysis , uniqueness , mathematics , faraday cage , boundary value problem , isosurface , resistive touchscreen , law , finite element method , physics , computer science , magnetic field , political science , quantum mechanics , visualization , artificial intelligence , computer vision , thermodynamics
We obtain the existence and the uniqueness at the same time in the reconstruction of orthotropic conductivity in two‐space dimensions by using two sets of internal current densities and boundary conductivity. The curl‐free equation of Faraday's law is taken instead of the elliptic equation in a divergence form that is typically used in electrical impedance tomography. A reconstruction method based on layered bricks‐type virtual‐resistive network is developed to reconstruct orthotropic conductivity with up to 40% multiplicative noise. Copyright © 2015 John Wiley & Sons, Ltd.