Virtual resistive network and conductivity reconstruction with Faraday's law

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A network-based conductivity reconstruction method is introduced using the third Maxwell equation, or Faraday's law, for a static case. The usual choice in electrical impedance tomography is the divergence-free equation for the electrical current density. However, if the electrical current density is given, the curl-free equation for the electrical field gives a direct relation between the current and the 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 numerical schemes introduced are investigated and their advantages over other conductivity reconstruction methods are discussed. Numerically simulated results, with an analysis of noise propagation, are presented.
Publisher
IOP PUBLISHING LTD
Issue Date
2014-12
Language
English
Article Type
Article
Keywords

ELECTRICAL-IMPEDANCE TOMOGRAPHY; ELEMENT EXTERIOR CALCULUS; J-SUBSTITUTION ALGORITHM; BOUNDARY-VALUE PROBLEM; GLOBAL UNIQUENESS; MREIT; RESOLUTION; STABILITY

Citation

INVERSE PROBLEMS, v.30, no.12, pp.1 - 21

ISSN
0266-5611
DOI
10.1088/0266-5611/30/12/125009
URI
http://hdl.handle.net/10203/198588
Appears in Collection
MA-Journal Papers(저널논문)
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