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

[1] Unified analysis of discontinuous Galerkin methods for elliptic problems [J].

Arnold, DN ;

Brezzi, F ;

Cockburn, B ;

Marini, LD .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 2002, 39 (05) :1749-1779

[2]

BANGERTH W, 2004, DEAL II DIFFERENTIAL

[3]

BANGERTH W, 1999, SFB, V359

[4] An a priori error analysis of the local discontinuous Galerkin method for elliptic problems [J].

Castillo, P ;

Cockburn, B ;

Perugia, I ;

Shötzau, D .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 2000, 38 (05) :1676-1706

[5] The local discontinuous Galerkin method for time-dependent convection-diffusion systems [J].

Cockburn, B ;

Shu, CW .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1998, 35 (06) :2440-2463

[6] Local discontinuous Galerkin methods for the Stokes system [J].

Cockburn, B ;

Kanschat, G ;

Schotzau, D ;

Schwab, C .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 2002, 40 (01) :319-343

[7]

Cockburn B., 2003, NUMERICAL MATH ADV A, P755

[8] Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations [J].

Elman, HC ;

Silvester, DJ ;

Wathen, AJ .

NUMERISCHE MATHEMATIK, 2002, 90 (04) :665-688

[9]

Gopalakrishnan J, 2003, COMPUTATIONAL FLUID AND SOLID MECHANICS 2003, VOLS 1 AND 2, PROCEEDINGS, P1943

[10] A multilevel discontinuous Galerkin method [J].

Gopalakrishnan, J ;

Kanschat, G .

NUMERISCHE MATHEMATIK, 2003, 95 (03) :527-551

← 1 2 →