A PARALLEL ROBIN-ROBIN DOMAIN DECOMPOSITION METHOD FOR THE STOKES-DARCY SYSTEM

被引：132

作者：

Chen, Wenbin ^{[1
]}

Gunzburger, Max ^{[2
]}

Hua, Fei ^{[3
]}

Wang, Xiaoming ^{[3
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[2] Florida State Univ, Dept Comp Sci, Tallahassee, FL 32306 USA

[3] Florida State Univ, Dept Math, Tallahassee, FL 32306 USA

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2011年 / 49卷 / 03期

基金：

美国国家科学基金会;

关键词：

Stokes and Darcy equations; Robin-Robin domain decomposition; geometric convergence; FINITE-ELEMENT-METHOD; OPTIMIZED SCHWARZ METHODS; COUPLING FLUID-FLOW; POROUS-MEDIA; MODEL;

D O I：

10.1137/080740556

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose a new parallel Robin-Robin domain decomposition method for the coupled Stokes-Darcy system with Beavers-Joseph-Saffman-Jones interface boundary condition. In particular, we prove that, with an appropriate choice of parameters, the scheme converges geometrically independent of the mesh size.

引用

页码：1064 / 1084

页数：21

共 41 条

[1] A RESIDUAL-BASED A POSTERIORI ERROR ESTIMATOR FOR THE STOKES-DARCY COUPLED PROBLEM [J].

Babuska, Ivo ;

Gatica, Gabriel N. .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 2010, 48 (02) :498-523

[2] BOUNDARY CONDITIONS AT A NATURALLY PERMEABLE WALL [J].

BEAVERS, GS ;

JOSEPH, DD .

JOURNAL OF FLUID MECHANICS, 1967, 30 :197-&

[3] Coupling Darcy and Stokes equations for porous media with cracks [J].

Bernardi, C ;

Hecht, F ;

Pironneau, O .

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2005, 39 (01) :7-35

[4] Robin-Robin domain decomposition methods for the steady-state Stokes-Darcy system with the Beavers-Joseph interface condition [J].

Cao, Yanzhao ;

Gunzburger, Max ;

He, Xiaoming ;

Wang, Xiaoming .

NUMERISCHE MATHEMATIK, 2011, 117 (04) :601-629

[5] FINITE ELEMENT APPROXIMATIONS FOR STOKES-DARCY FLOW WITH BEAVERS-JOSEPH INTERFACE CONDITIONS [J].

Cao, Yanzhao ;

Gunzburger, Max ;

Hu, Xiaolong ;

Hua, Fei ;

Wang, Xiaoming ;

Zhao, Weidong .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 2010, 47 (06) :4239-4256

[6]

Cao YZ, 2010, COMMUN MATH SCI, V8, P1

[7] Superconvergence analysis of FEMs for the Stokes-Darcy system [J].

Chen, Wenbin ;

Chen, Puying ;

Gunzburger, Max ;

Yan, Ningning .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2010, 33 (13) :1605-1617

[8]

CIARLET P. G., 2002, Classics in Appl. Math., V40

[9] First-order system least-squares for Darcy-Stokes flow [J].

Danisch, Garvin ;

Starke, Gerhard .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 2007, 45 (02) :731-745

[10] Analysis of discontinuous finite element methods for ground water/surface water coupling [J].

Dawson, Clint .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 2006, 44 (04) :1375-1404

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