Applied PDE Group
Nonlinear Partial Differential Equations in Fluid and Solid Mechanics

LKK2015

Orthotropic conductivity reconstruction with virtual resistive network and Faraday's law

​M-G. Lee, M-S. Ko, Y-J. Kim, Orthotropic conductivity reconstruction with virtual resistive network and Faraday's law, Math. Methods Appl. Sciences, 39(5):1183-1196, 2016
M-G. Lee, M-S. Ko, Y-J. Kim
conductivity image reconstruction, Faraday's law
2016
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 densi- ties and boundary conductivity. The curl free equation of Faraday’s law is taken instead of the elliptic equation in a divergence form which is typically used in electrical impedance tomogra- phy. A reconstruction method based on layered bricks type virtual resistive network (VRN) is developed to reconstruct orthotropic conductivity with up to 40% multiplicative noise.