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• W2079187543 abstract "This paper concerns the reconstruction of a fully anisotropic conductivity tensor γ from internal current densities of the form J = γ∇u, where u solves a second-order elliptic equation ∇ · (γ∇u) = 0 on a bounded domain X with prescribed boundary conditions. A minimum number of n + 2 such functionals known on Y⊂X, where n is the spatial dimension, is sufficient to guarantee a unique and explicit reconstruction of γ locally on Y. Moreover, we show that γ is reconstructed with a loss of one derivative compared to errors in the measurement of J in the general case and no loss of derivatives in the special case where γ is scalar. We also describe linear combinations of mixed partial derivatives of γ that exhibit better stability properties and hence can be reconstructed with better resolution in practice." @default.
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• W2079187543 date "2014-01-28" @default.
• W2079187543 modified "2023-10-18" @default.
• W2079187543 title "Inverse anisotropic conductivity from internal current densities" @default.
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• W2079187543 doi "https://doi.org/10.1088/0266-5611/30/2/025001" @default.
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