A two-grid decoupling method for the mixed Stokes-Darcy model

被引:35
|
作者
Zuo, Liyun [1 ]
Hou, Yanren [1 ,2 ]
机构
[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
[2] Xi An Jiao Tong Univ, Ctr Computat Geosci, Xian 710049, Shaanxi, Peoples R China
关键词
Stokes equations; Darcy's law; Decoupling; Two-grid algorithm; DOMAIN DECOMPOSITION METHODS; COUPLING FLUID-FLOW; PARALLEL; SURFACE;
D O I
10.1016/j.cam.2014.08.008
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we consider the mixed Stokes-Darcy problem which describes a fluid flow coupled with a porous media. We present a modified two-grid method for decoupling this mixed model. Stability is proved and optimal error estimates are derived. The numerical results show that the modified two-grid method is effective and has the same accuracy as the coupling scheme when we choose h = H-2. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:139 / 147
页数:9
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