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A discrete Fourier analysis of coarse mesh rebalancing and some associated iterative methods

Published online by Cambridge University Press:  17 February 2009

J. M. Barry ,
J. H. Jenkinson  and
J. P. Pollard
J. M. Barry
Affiliation:
Australian Atomic Energy Commission, Lucas Heights Research Laboratories, Private Mail Bag, Sutherland, N.S.W. 2232.
J. H. Jenkinson
Affiliation:
Department of Mathematics, Australian National University, P.O. Box 4, Canberra, A.C.T. 2600.
J. P. Pollard
Affiliation:
Australian Atomic Energy Commission, Lucas Heights Research Laboratories, Private Mail Bag, Sutherland, N.S.W. 2232.
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Abstract

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Iterative methods for solving systems of linear equations may be accelerated by coarse mesh rebalance techniques. The iterative technique, the Method of Implicit Non-stationary Iteration (MINI), is examined through a local-mode Fourier analysis and compared to relaxation techniques as a potential candidate for such acceleration. Results of a global-mode Fourier analysis for MINI, relaxation methods, and the conjugate gradient method are reported for two test problems.

Type
Research Article
Information
The ANZIAM Journal , Volume 25 , Issue 2 , October 1983 , pp. 190 - 216
Copyright
Copyright © Australian Mathematical Society 1983

References

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