๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the acceleration of the preconditioned simultaneous displacement method

โœ Scribed by N.M. Missirlis; D.J. Evans

Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
698 KB
Volume
23
Category
Article
ISSN
0378-4754

No coin nor oath required. For personal study only.

โœฆ Synopsis

This paper considers the application of various accelerated techniques of the Beconditioned Simultaneous Displacement method (PSD method) [3]. The resulting methods possess rates of convergence which ape improved by an order of magnitude as compared with the weZ1 knowl SOR method.

However, it is shown that the PSD-Variable Extrapolation method (PSD-VE method) combined with a computational work reduction scheme [lo] 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 a&o given. It is concluded that the PSD-VE method with Niethammer's approach is superior than SOR at least for the cases considered 1.

๐Ÿ“œ SIMILAR VOLUMES

The preconditioned simultaneous displace
The preconditioned simultaneous displacement method (PSD method) for elliptic difference equations
โœ D.J. Evans; N.M. Missirlis ๐Ÿ“‚ Article ๐Ÿ“… 1980 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 670 KB

This paper introduces the Preconditioned Simultaneous DispZacement iterative method (PSD method) in a new '%omputablel' form for the numerical solution of linear systems of the form AI.&, where the matrirc A is large and sparse. The convergence properties of the method are analysed under certain ass

On the convergence of nonlinear simultan
On the convergence of nonlinear simultaneous displacements
โœ A. Pasquali ๐Ÿ“‚ Article ๐Ÿ“… 1969 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 235 KB

In this work we obtain a convergence criterion for the nonlinear simultaneous displacements method. After some remarks on the iterative modified Newton-like methods, we also obtain a convergence theorem for a stationary modification of nonlinear simultaneous displacements method.