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arXiv:1209.5223 [math.NA]AbstractReferencesReviewsResources

A simple preconditioner for a discontinuous Galerkin method for the Stokes problem

Blanca Ayuso de Dios, Franco Brezzi, L. Donatella Marini, Jinchao Xu, Ludmil Zikatanov

Published 2012-09-24, updated 2013-04-09Version 2

In this paper we construct Discontinuous Galerkin approximations of the Stokes problem where the velocity field is H(div)-conforming. This implies that the velocity solution is divergence-free in the whole domain. This property can be exploited to design a simple and effective preconditioner for the final linear system.

Comments: 27 pages, 4 figures
Categories: math.NA
Subjects: 65N30, 65N12, 65N22, 65F08, 76R50
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