TY - JOUR
T1 - A simple preconditioner for a Discontinuous Galerkin method for the Stokes problem
AU - De Dios, Blanca Ayuso
AU - Brezzi, Franco
AU - Marini, L. Donatella
AU - Xu, Jinchao
AU - Zikatanov, Ludmil
N1 - Funding Information:
Acknowledgments The authors thank one of the referees for helpful comments on the first version of this work. Part of this work was completed while the first author was visiting IMATI-CNR of Pavia. She is grateful to the IMATI for the kind hospitality. The first author was partially supported by MINECO through grant MTM2011-27739-C04-04. The second and third authors were partially supported by the Italian MIUR through the project PRIN2008. The last two authors were partially supported by National Science Foundation grant DMS-1217142 and US Department of Energy grant DE-SC0009603. The authors also thank Feiteng Huang for the help with the numerical tests and in particular for putting the discretization within the FEniCS framework, and to Harbir Antil for pointing out references [3,10].
PY - 2014/3
Y1 - 2014/3
N2 - In this paper we construct Discontinuous Galerkin approximations of the Stokes problem where the velocity field is H(div, Ω)-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.
AB - In this paper we construct Discontinuous Galerkin approximations of the Stokes problem where the velocity field is H(div, Ω)-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.
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U2 - 10.1007/s10915-013-9758-0
DO - 10.1007/s10915-013-9758-0
M3 - Article
AN - SCOPUS:84899453877
SN - 0885-7474
VL - 58
SP - 517
EP - 547
JO - Journal of Scientific Computing
JF - Journal of Scientific Computing
IS - 3
ER -