Commun. Korean Math. Soc. 2009; 24(3): 467-479
Printed September 1, 2009
https://doi.org/10.4134/CKMS.2009.24.3.467
Copyright © The Korean Mathematical Society.
Younghun Mun
Korea Minjok Leadership Academy
This paper ultimately aims to develop noninvasive techniques to identify the inside of a given electrical network. Based on the theory of the partial differentiation equations and mathematical modeling, this paper devises the algorithms to find the locations of possible abnormalities. To ensure the certainty of the algorithms, this study restricted the forms of the network and the number of abnormalities, rendering it easy to prove the uniqueness of the position of the abnormalities.
Keywords: electrical networks, inverse conductivity problem, inverse source problem, discrete Laplacian
MSC numbers: Primary 94C12; Secondary 31A25
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