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Error at a Rectangular Corner in Relaxation Methods
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  • Letter
  • Published: 30 August 1958

Error at a Rectangular Corner in Relaxation Methods

  • R. BUTLER1 &
  • S. V. FAGG1 

Nature volume 182, page 600 (1958)Cite this article

  • 368 Accesses

  • 1 Citations

  • Metrics details

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

  1. Bowman, F., Proc. London Math. Soc., 39, 211 (1935); 41, 271 (1936).

    Google Scholar 

  2. Jeffreys, H., and Jeffreys, B. S., “Methods of Mathematical Physics”, 3rd edit., 312 (Cambridge Univ. Press, 1956).

    MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Manchester College of Science and Technology,

    R. BUTLER & S. V. FAGG

Authors
  1. R. BUTLER
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  2. S. V. FAGG
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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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  • Issue date: 30 August 1958

  • DOI: https://doi.org/10.1038/182600b0

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