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A preconditioned Richardson method for solving three‐dimensional thin film problems with first order derivatives and variable coefficients

A preconditioned Richardson method for solving three‐dimensional thin film problems with first... A preconditioned Richardson method for solving three‐dimensional thin film elliptic problems with first order derivatives and variable coefficients has been developed based on the idea of the modified upwind difference scheme and the fact that the thickness of the thin domain is small. This method is simple because only a tridiagonal linear system is needed to solve for each iteration. The computation speed is fast since the spectral radius of the iterative operator is small. Numerical example shows the method to be efficient. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Numerical Methods for Heat & Fluid Flow Emerald Publishing

A preconditioned Richardson method for solving three‐dimensional thin film problems with first order derivatives and variable coefficients

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Publisher
Emerald Publishing
Copyright
Copyright © 2000 MCB UP Ltd. All rights reserved.
ISSN
0961-5539
DOI
10.1108/09615530010338141
Publisher site
See Article on Publisher Site

Abstract

A preconditioned Richardson method for solving three‐dimensional thin film elliptic problems with first order derivatives and variable coefficients has been developed based on the idea of the modified upwind difference scheme and the fact that the thickness of the thin domain is small. This method is simple because only a tridiagonal linear system is needed to solve for each iteration. The computation speed is fast since the spectral radius of the iterative operator is small. Numerical example shows the method to be efficient.

Journal

International Journal of Numerical Methods for Heat & Fluid FlowEmerald Publishing

Published: Aug 1, 2000

Keywords: Finite differences; Thin film

References