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Numerical solution of the Dirichlet problem for systems of circular conductors between parallel ground lines


Author: David W. Kammler
Journal: Math. Comp. 23 (1969), 29-36
MSC: Primary 65.66
DOI: https://doi.org/10.1090/S0025-5718-1969-0238502-4
MathSciNet review: 0238502
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Abstract: A Green's function-integral equation technique is used to obtain a numerical solution to the two-dimensional Dirichlet problem for the multiply connected region between the ground fines $ (V = 0)$ at $ y = 0$ and $ y = 1$ and exterior to the $ N$ circular conductors with arbitrarily spaced centers $ ({x_i},{y_i})$ and radii $ {R_i},i = 1,2, \cdots ,N$ . If the smallest distance between each pair of conducting surfaces exceeds .1, the capacitance matrix for this system of $ N$ conductors can be calculated to 6-place accuracy at a cost of about 15 $ {N^2}$ seconds on the IBM 7044 computer.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1969-0238502-4
Article copyright: © Copyright 1969 American Mathematical Society