Distributive smoothers in multigrid for problems with dominating grad-div operators

被引：18

作者：

Gaspar, F. J. ^{[1
]}

Gracia, J. L. ^{[1
]}

Lisbona, F. J. ^{[1
]}

Osterlee, C. W. ^{[2
,3
]}

机构：

[1] Univ Zaragoza, Dept Appl Math, Ctr Politecn Super, Zaragoza 50018, Spain

[2] CWI Ctr Math & Comp Sci, Amsterdam, Netherlands

[3] Delft Univ Technol, Delft Inst Appl Math, Delft, Netherlands

来源：

NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS | 2008年 / 15卷 / 08期

关键词：

multigrid; distributive smoothing; grad-div operator; staggered grid; poro-elasticity;

D O I：

10.1002/nla.587

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present efficient multigrid methods for systems of partial differential equations that are governed by a dominating grad-div operator. In particular, we show that distributive smoothing methods give multigrid convergence factors that are independent of problem parameters and of the mesh sizes in space and time. The applications range from model problems to secondary consolidation Biot's model. We focus oil the smoothing issue and mainly solve academic problems on Cartesian-staggered grids. Copyright (C) 2008 John Wiley & Sons, Ltd.

引用

页码：661 / 683

页数：23

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