On the acceleration of the preconditioned simultaneous displacement method

N.M. Missirlis and D.J. Evans

Mathematics and Computers in Simulation (MATCOM), 1981, vol. 23, issue 2, 191-198

Abstract: This paper considers the application of various accelerated techniques of the Preconditioned Simultaneous Displacement method (PSD method) [3]. The resulting methods possess rates of convergence which are improved by an order of magnitude as compared with the well known SOR method. However, it is shown that the PSD-Variable Extrapolation method (PSD-VE method) combined with a computational work reduction scheme [10] seems to offer a substantial saving in overall efficiency. The application of the analysis to the model problem involving Laplace's equation and the generalised Dirichlet problem is considered. In addition, the results of a number of various numerical experiments are also given. It is concluded that the PSD-VE method with Niethammer's approach is superior than SOR at least for the cases considered.

Date: 1981
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:23:y:1981:i:2:p:191-198

DOI: 10.1016/0378-4754(81)90058-6

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