Journal of the
Korean Mathematical Society JKMS

Electrical impedance tomography (EIT) problem with anisotropic anomalous region is formulated in a few different ways using boundary integral operators. The Fr\'{e}chet derivative of Neumann-to-Dirichlet map is computed also by using boundary integral operators and the boundary of the anomalous region is approximated by trigonometric expansion with Lagrangian basis. The numerical reconstruction is done in case that the conductivity of the anomalous region is isotropic.

Keywords: electrical impedance tomography, boundary integral operator, Neumann-to-Dirichlet map

MSC numbers: 45E10, 45Q05, 65N21, 35J99