Block preconditioners for LDG discretizations of linear incompressible flow problems

被引：14

作者：

Kanschat, G ^{[1
]}

机构：

[1] Heidelberg Univ, Inst Angew Math, D-69120 Heidelberg, Germany

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2005年 / 22-3卷 / 01期

关键词：

preconditioners; saddle-point problems; Stokes equations; Oseen equations; discontinuous Galerkin; finite elements;

D O I：

10.1007/s10915-004-4144-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a block preconditioner for LDG discretizations of Stokes equations. The dependence of its performance on the discretization parameters is investigated. An extension to Oseen equations is shown, yielding efficient and robust solvers in a wide regime of Reynolds numbers.

引用

页码：371 / 384

页数：14

共 17 条

[11]

Hackbusch W, 1997, NUMER LINEAR ALGEBR, V4, P85, DOI 10.1002/(SICI)1099-1506(199703/04)4:2<85::AID-NLA100>3.0.CO

[12]

2-2

[13] Preconditioning methods for local discontinuous Galerkin discretizations [J].

Kanschat, G .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2003, 25 (03) :815-831

[14]

Kanschat G, 2003, COMPUTATIONAL FLUID AND SOLID MECHANICS 2003, VOLS 1 AND 2, PROCEEDINGS, P2016

[15] A preconditioner for the steady-state Navier-Stokes equations [J].

Kay, D ;

Loghin, D ;

Wathen, A .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2002, 24 (01) :237-256

[16] Block-triangular preconditioners for saddle point problems with a penalty term [J].

Klawonn, A .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1998, 19 (01) :172-184

[17] A note on preconditioning for indefinite linear systems [J].

Murphy, MF ;

Golub, GH ;

Wathen, AJ .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2000, 21 (06) :1969-1972

← 1 2 →