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Calculations of the Conductivity of a Medium Containing Cylindrical Inclusions
1.G. Forsythe and W. Wasow, Finite Difference Methods for Partial Differential Equations (John Wiley & Son, Inc., New York, 1960), pp. 201, 204, 305–306, 242–256.
2.J. B. Keller, J. Appl. Phys. 34, 991 (1963).
3.Employing given by (2) in (1) yields which is a good approximation to in the entire interval It is exact at and near has the expansion: In an exactly analogous way we find for the case of a uniform cubic array of spherical inclusions the approximation . This result is exact for and has the same leading term in an expansion near as that deduced by J. B. Keller.2
4.Lord Rayleigh, Phil. Mag. 34, 481 (1892).
5.I. Runge, Z. Techn. Phys. 6, 61 (1925).
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