A Simple Preconditioner for a Discontinuous Galerkin Method for the Stokes Problem

被引：20
作者：
Ayuso de Dios, Blanca [1 ]
Brezzi, Franco [2 ,3 ]
Marini, L. Donatella [4 ]
Xu, Jinchao [5 ]
Zikatanov, Ludmil [5 ]
机构：
[1] Ctr Recerca Matemat, Barcelona 08193, Spain
[2] IUSS Pavia CP IMATI CNR, I-27100 Pavia, Italy
[3] KAU, Dept Math, Jeddah 21589, Saudi Arabia
[4] Univ Pavia, Dipartimento Matemat, I-27100 Pavia, Italy
[5] Penn State Univ, Dept Math, University Pk, PA 16802 USA
来源：
JOURNAL OF SCIENTIFIC COMPUTING | 2014年 / 58卷 / 03期
基金：
美国国家科学基金会;
关键词：
Discontinuous Galerkin; Stokes equation; Auxiliary space; MIXED FINITE-ELEMENTS; H(DIV); APPROXIMATION; INEQUALITIES;
D O I：
10.1007/s10915-013-9758-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we construct Discontinuous Galerkin approximations of the Stokes problem where the velocity field is -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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页码：517 / 547
页数：31
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