Virtual resistive network and conductivity reconstruction with Faradayʼs law

  title={Virtual resistive network and conductivity reconstruction with Faradayʼs law},
  author={Min Gi Lee and Min-Su Ko and Yong-Jung Kim},
  journal={Inverse Problems},
A network-based conductivity reconstruction method is introduced using the third Maxwell equation, or Faradayʼs 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… 
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Compatible spatial discretizations
Numerical Convergence of the MPFA O-Method for General Quadrilateral Grids in Two and Three Dimensions.- Differential Complexes and Stability of Finite Element Methods I. The de Rham Complex.-