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.

引用

页码：517 / 547

页数：31

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