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

Weizhong Dai (Mathematics and Statistics, College of Engineering and Science, Louisiana Tech University, Ruston, Louisiana, USA)
Raja Nassar (Mathematics and Statistics, College of Engineering and Science, Louisiana Tech University, Ruston, Louisiana, USA)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 1 August 2000

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.

Keywords

Citation

Dai, W. and Nassar, R. (2000), "A preconditioned Richardson method for solving three‐dimensional thin film problems with first order derivatives and variable coefficients", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 10 No. 5, pp. 477-487. https://doi.org/10.1108/09615530010338141

Publisher

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MCB UP Ltd

Copyright © 2000, MCB UP Limited