A stabilized difference scheme for deformable porous media and its numerical resolution by multigrid methods

被引：20

作者：

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

Lisbona, F. J. ^{[2
]}

Oosterlee, C. W. ^{[3
]}

机构：

[1] Univ Zaragoza, Dept Matemat Aplicada, Maria Luna 3, Zaragoza 50018, Spain

[2] Univ Zaragoza, Dept Matemat Aplicada, E-50009 Zaragoza, Spain

[3] Delft Univ Technol, Delft Inst Appl Math, NL-2628 Delft, Netherlands

来源：

COMPUTING AND VISUALIZATION IN SCIENCE | 2008年 / 11卷 / 02期

关键词：

D O I：

10.1007/s00791-007-0061-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with the 2D system of incompressible poroelasticity equations in which an artificial stabilization term has been added to the discretization on collocated grids. Two issues are discussed: It is proved and shown that the additional term indeed brings stability and does not spoil the second order accurate convergence. Secondly, various smoothers are examined in order to find an optimal multigrid method for the discrete system of equations. Numerical experiments confirm the stability and the second order accuracy, as well as fast multigrid convergence for a realistic poroelasticity experiment.

引用

页码：67 / 76

页数：10