The faulty resistor problems and the inverse source problems for rectangular electrical networks
Commun. Korean Math. Soc. 2009 Vol. 24, No. 3, 467-479
https://doi.org/10.4134/CKMS.2009.24.3.467
Printed September 1, 2009
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
Downloads: Full-text PDF  


Copyright © Korean Mathematical Society.
The Korea Science Technology Center (Rm. 411), 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea
Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd