Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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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.

The faulty resistor problems and the inverse source problems for rectangular electrical networks

Younghun Mun

Korea Minjok Leadership Academy

Abstract

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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