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### A preconditioner for the 3D Oseen equations

Abstract:

We describe a preconditioner for the linearised incompressible Navier-Stokes equations (the Oseen equations) which requires as components only a preconditioner/solver for each of a discrete Laplacian and a discrete advection-diffusion operator. With this preconditioner, convergence of an iterative method such as GMRES is independent of the mesh size and depends only mildly on the viscosity parameter (the inverse Reynolds number). Thus when the component preconditioner/solvers are effective on...

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### Authors

A. J. Wathen More by this author
Daniel Loghin More by this author
Howard C. Elman More by this author
David Silvester More by this author
Publication date:
2002-02-05
URN:
uuid:457aa1e4-2f1e-4f19-b295-724fd813bed7
Local pid:
oai:eprints.maths.ox.ac.uk:1224