Construction of indistinguishable conductivity perturbations for the point electrode model in electrical impedance tomography

Lucas Chesnel (1, 2) , Nuutti Hyvönen (3) , Stratos Staboulis (3)

1 DeFI - Shape reconstruction and identification
2 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
3 Department of Mathematics [Aalto]

We explain how to build invisible isotropic conductivity perturbations of the unit conductivity in the framework of the point electrode model for two-dimensional electrical impedance tomography. The theoretical approach, based on solving a fixed point problem, is constructive and allows the implementation of an algorithm for approximating the invisible perturbations. The functionality of the method is demonstrated via numerical examples.

Mots clés: Elliptic boundary value problems; complete electrode model; electrical impedance tomography; point electrode model; localized current sources; invisibility

Domaines: Equations aux dérivées partielles [math.AP]

Lucas Chesnel, Nuutti Hyvönen, Stratos Staboulis. Construction of indistinguishable conductivity perturbations for the point electrode model in electrical impedance tomography. SIAM Journal on Applied Mathematics, 2015. ⟨hal-01109544⟩