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A block preconditioning technique for the streamfunction-vorticity formulation of the Navier-Stokes equations

Abstract:

Iterative methods of Krylov-subspace type can be very effective solvers for matrix systems resulting from partial differential equations if appropriate preconditioning is employed. We describe and test block preconditioners based on a Schur complement approximation which uses a multigrid method for finite element approximations of the linearized incompressible Navier-Stokes equations in streamfunction and vorticity formulation. By using a Picard iteration, we use this technology to solve full...

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Publisher copy:
10.1002/num.20661

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Journal:
Numerical Methods for Partial Differential Equations
Volume:
28
Issue:
3
Pages:
888-898
Publication date:
2012-05-05
DOI:
EISSN:
1098-2426
ISSN:
0749-159X
URN:
uuid:e283c2c8-06b0-485c-9d80-c367ec066d7e
Source identifiers:
321199
Local pid:
pubs:321199

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