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- W63817814 abstract "This paper discusses the inverse conductivity problem for annular networks, those networks that are defined inside an annulus. In particular, we examine networks formed by intersecting lines with concentric circles. A simple recovery algorithm that calculates the conductances, γ, directly from the response matrix, Λ, has been produced for the network with twice as many rays as circles. This network appears to be the cutoff point for recoverable annular networks. Conductivities from graphs with fewer rays were not necessarily recoverable from the response matrix. A detailed analysis is given for the network with three rays intersecting two circles. It can be shown that this is a non-recoverable network and numerical evidence suggests that the map γ−→Λ is in fact infinite to one. Several methods are given for finding relations in the response matrix, and a characterization of this network’s response matrix is also suggested. Finally there is a brief discussion on how methods for analyzing these annular networks might prove useful for analyzing other planar, non-circular planar graphs." @default.
- W63817814 created "2016-06-24" @default.
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- W63817814 date "2005-01-01" @default.
- W63817814 modified "2023-09-23" @default.
- W63817814 title "On Solving the Inverse Conductivity Problem for Annular Networks" @default.
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- W63817814 hasPublicationYear "2005" @default.
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