A simple preconditioner for a discontinuous Galerkin method for the Stokes problem
Numerical Analysis
2013-04-10 v2
Abstract
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.
Cite
@article{arxiv.1209.5223,
title = {A simple preconditioner for a discontinuous Galerkin method for the Stokes problem},
author = {Blanca Ayuso de Dios and Franco Brezzi and L. Donatella Marini and Jinchao Xu and Ludmil Zikatanov},
journal= {arXiv preprint arXiv:1209.5223},
year = {2013}
}
Comments
27 pages, 4 figures