Robin-Robin domain decomposition methods for the Stokes-Darcy coupling

被引:187
作者
Discacciati, Marco
Quarteroni, Alfio
Valli, Alberto
机构
[1] RICAM, A-4040 Linz, Austria
[2] Ecole Polytech Fed Lausanne, CMCS, IACS, CH-1015 Lausanne, Switzerland
[3] Politecn Milan, MOX, I-20133 Milan, Italy
[4] Univ Trent, Dipartimento Matemat, I-38050 Trento, Italy
关键词
Stokes and Darcy equations; domain decomposition; Robin interface condition; finite element approximation;
D O I
10.1137/06065091X
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we consider a coupled system made of the Stokes and Darcy equations, and we propose some iteration-by-subdomain methods based on Robin conditions on the interface. We prove the convergence of these algorithms, and for suitable. finite element approximations we show that the rate of convergence is independent of the mesh size h. Special attention is paid to the optimization of the performance of the methods when both the kinematic viscosity of the fluid and the hydraulic conductivity tensor K of the porous medium are very small.
引用
收藏
页码:1246 / 1268
页数:23
相关论文
共 17 条
[1]  
AGOSHKOV VI, 1990, SOV J NUMER ANAL MAT, V5, P27
[2]  
[Anonymous], 2004, THESIS ECOLE POLYTEC
[3]  
BREZZI F, 1974, REV FR AUTOMAT INFOR, V8, P129
[4]  
Dautray R, 1988, MATH ANAL NUMERICAL, V2
[5]   A domain decomposition framework for fluid-structure interaction problems [J].
Deparis, Simone ;
Discacciati, Marco ;
Quarteroni, Alfio .
COMPUTATIONAL FLUID DYNAMICS 2004, PROCEEDINGS, 2006, :41-+
[6]  
Discacciati M, 2005, LECT NOTES COMP SCI, V40, P563
[7]  
Discacciati M., 2004, Computing and Visualization in Science, V6, P93, DOI 10.1007/s00791-003-0113-0
[8]  
Discacciati M., 2003, Numerical Analysis and Advanced Applications, P3
[9]  
GALVIS J, 2007, LECT NOTES COMPUT SC, V55, P373
[10]  
GALVIS JC, 2004, P 25 IB LAT AM C COM