Hyvönen, Nuutti Complete electrode model of electrical impedance tomography: approximation properties and characterization of inclusions. (English) Zbl 1059.35168 SIAM J. Appl. Math. 64, No. 3, 902-931 (2004). Summary: In electrical impedance tomography one tries to recover the spatial admittance distribution inside a body from boundary measurements. In theoretical considerations it is usually assumed that the boundary data consists of the Neumann-to-Dirichlet map; when conducting real-world measurements, the obtainable data is a linear finite-dimensional operator mapping electrode currents onto electrode potentials. In this paper it is shown that when using the complete electrode model to handle electrode measurements, the corresponding current-to-voltage map can be seen as a discrete approximation of the traditional Neumann-to-Dirichlet operator. This approximating link is utilized further in the special case of constant background conductivity with inhomogeneities: It is demonstrated how inclusions with strictly higher or lower conductivities can be characterized by the limit behavior of the range of a boundary operator, determined through electrode measurements, when the electrodes get infinitely small and cover all of the object boundary. Cited in 26 Documents MSC: 35R30 Inverse problems for PDEs 35J25 Boundary value problems for second-order elliptic equations 35Q60 PDEs in connection with optics and electromagnetic theory 78A46 Inverse problems (including inverse scattering) in optics and electromagnetic theory Keywords:nondestructive testing; inclusions; spatial admittance distribution; Neumann-to-Dirichlet map; current-to-voltage map PDFBibTeX XMLCite \textit{N. Hyvönen}, SIAM J. Appl. Math. 64, No. 3, 902--931 (2004; Zbl 1059.35168) Full Text: DOI