Abstract
Numerical implementation of the reconstruction formulae of Nakamura and Tanuma [Recent Development in Theories and Numerics, International Conference on Inverse Problems 2003] is presented. With the formulae, the conductivity and its normal derivative can be recovered on the boundary of a planar domain from the localized Dirichlet to Neumann map. Such reconstruction method is needed as a preliminary step before full reconstruction of conductivity inside the domain from boundary measurements, as done in electrical impedance tomography. Properties of the method are illustrated with reconstructions from simulated data.
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Nakamura, G., Siltanen, S., Tanuma, K. et al. Numerical Recovery of Conductivity at the Boundary from the Localized Dirichlet to Neumann Map. Computing 75, 197–213 (2005). https://doi.org/10.1007/s00607-004-0095-x
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DOI: https://doi.org/10.1007/s00607-004-0095-x