Title: An Iterative Method for Solving Finite Difference Approximations to the Stokes Equations
Abstract: A new iterative method is presented for solving finite difference equations which approximate the steady Stokes equations. The method is an extension of successive-over-relaxation and has two iteration parameters. Perturbation methods are used to analyze the iteration matrix. Sufficient conditions for the convergence of the iterative method are obtained and it is shown that many reasonable finite difference schemes for the Stokes equations satisfy these conditions. Computational examples are given to show the efficiency of the method.
Publication Year: 1984
Publication Date: 1984-06-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 13
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