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Fast solvers for finite difference approximations for the stokes and navier-stokes equations

Published online by Cambridge University Press:  17 February 2009

Dongho Shin  and
John C. Strikwerda
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Abstract

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We consider several methods for solving the linear equations arising from finite difference discretizations of the Stokes equations. The two best methods, one presented here for the first time, apparently, and a second, presented by Bramble and Pasciak, are shown to have computational effort that grows slowly with the number of grid points. The methods work with second-order accurate discretizations. Computational results are shown for both the Stokes equations and incompressible Navier-Stokes equations at low Reynolds number.

Type
Research Article
Information
The ANZIAM Journal , Volume 38 , Issue 2 , October 1996 , pp. 274 - 290
Copyright
Copyright © Australian Mathematical Society 1996

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