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The Computer Journal 1971 14(1):73-74; doi:10.1093/comjnl/14.1.73
© 1971 by British Computer Society
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The selection of ADI iteration parameters by numerical experiment for the solution of Poisson's equation over a circular area

R. P. W. Lewis *

Meteorological Office, London Road, Bracknell, UK

It is shown how a set of iteration parameters for the Peaceman-Rachford ADI process may be determined by numerical experiment so that the rate of convergence of a square mesh finite difference approximation to the solution of the Dirichlet problem over a circular area may be a maximum. It is found that the rate of convergence is very sensitive to the choice of parameters but may be made nearly as high as over a square.

Received October 1968. Revised May 1970.

* Meteorological Office, London Road, Bracknell, Berkshire


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