Abstract
IN “Relaxation Methods in Theoretical Physics” (R. V. Southwell, Clarendon Press, 1946, p. 133) results obtained by R. W. G. Gandy, using the method of relaxation, are given for the capacity C, per unit length, of a cylindrical condenser, the cross-section of which consists of concentric squares having sides in the ratio 2√2 : 1. Three cases are illustrated (Fig. 54) : (a) the two squares are diamondwise to each other ; (c) the sides are parallel; (b) an intermediate position.
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References
Bowman, F., Proc. London Math. Soc., 39, 211 (1935); 41, 271 (1936).
Jeffreys, H., and Jeffreys, B. S., “Methods of Mathematical Physics”, 3rd edit., 312 (Cambridge Univ. Press, 1956).
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BUTLER, R., FAGG, S. Error at a Rectangular Corner in Relaxation Methods. Nature 182, 600 (1958). https://doi.org/10.1038/182600b0
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DOI: https://doi.org/10.1038/182600b0