The faulty resistor problems and the inverse source problems for rectangular electrical networks
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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.
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.
참고문헌 (3)
- S.-Y. Chung, "ω-harmonic functions and inverse conductivity problems on networks", SIAM J. Appl. Math., 65(4), pp.1039~1046 (2002)
- E. Curtis, "The Dirichlet to Neumann map for a resistor network", SIAM J. Appl. Math., 51(4), pp.1011~1029 (1991)
- E. Curtis, "Inverse Problems for Electrical Networks" (2000), World Scientific