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A useful relationship in the conformal mapping of quadrilaterals

Published online by Cambridge University Press:  17 April 2009

O.F. Hughes
O.F. Hughes
Affiliation:
School of Mechanical and Industrial Engineering, University of New South Wales, Kensington, New South Wales.
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Abstract

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A relationship is presented which greatly simplifies the application of the Schwarz-Christoffel formula in mapping a quadrilateral having one axis of symmetry. The relationship has been verified numerically, and it is hoped that its evident simplicity and usefulness will stimulate the development of an analytical proof.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 9 , Issue 1 , August 1973 , pp. 99 - 104
Copyright
Copyright © Australian Mathematical Society 1973

References

[1]Hastings, Cecil Jr and Hayward, Jeanne T., Wong, James P. Jr, Approximations for digital computers (Princeton University Press, Princeton, New Jersey, 1955).CrossRefGoogle Scholar
[2]Hughes, O.F., Wedge penetration of a free surface (School of Mechanical and Industrial Engineering, Report 1971/NA/2. University of New South Wales, Kensington, 02 1971).Google Scholar