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The Computer Journal 1968 11(3):329-331; doi:10.1093/comjnl/11.3.329
© 1968 by British Computer Society
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Bounds for the optimum over-relaxation factor for the S.O.R. solution of Laplace type equations over irregular regions

T. Lloyd and H. McCallion *

Dept. of Mechanical Engineering, The University, Nottingham, UK

The calculation of the optimum over-relaxation factor for the solution of Laplace type equations over irregular regions, is explained by an analogy with the vibration of a thin membrane. Using this, an explanation is given of intuitive method, proposed by T.J. Randall (1968), which is based on the substitution of an equivalent rectangle for the irregular region.

Received February 1968.

* Dept. of Mechanical Engineering, The University, Nottingham.


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