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http://dx.doi.org/10.4134/CKMS.2012.27.2.243

ON AN INVERSE PROBLEMS FOR LAPLACE EQUATIONS WITH POTENTIAL TERMS ON ELECTRICAL NETWORKS  

Chung, Ji-Chan (Department of Electrical Engineering KAIST)
Kim, Du-Hyeong (Gyeonggi Science High School)
Kwon, Tae-Hoon (Gyeonggi Science High School)
Publication Information
Communications of the Korean Mathematical Society / v.27, no.2, 2012 , pp. 243-255 More about this Journal
Abstract
In this paper, we deal with an inverse problem for electrical resistor networks to detect the location of nodes where an extraordinary currents ow into or out of the nodes proportional to the potentials on them. To achieve the goal, we solve a special type of mixed boundary value problem for Laplace equations with potential terms on rectangular networks which plays a role as a forward problem. Then we solve an inverse problem to develop an algorithm to locate the node where the extraordinary current flows on it at most four times of measurements of potential and current on its boundary.
Keywords
trigonometric series; Hankel determinant; signal processing;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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