FINITE ELEMENT DISCRETIZATION OF THE STOKES AND NAVIER-STOKES EQUATIONS WITH BOUNDARY CONDITIONS ON THE PRESSURE

被引：13

作者：

Bernardi, Christine ^{[1
,2
]}

Rebollo, Tomas Chacon ^{[3
,4
]}

Yakoubi, Driss ^{[5
]}

机构：

[1] CNRS, Lab Jacques Louis Lions, F-75252 Paris 05, France

[2] Univ Paris 06, F-75252 Paris 05, France

[3] Univ Seville, Dept Ecuaciones Diferenciales & Anal Numrico, E-41012 Seville, Spain

[4] Univ Seville, IMUS, E-41012 Seville, Spain

[5] Univ Laval, Dept Math & Stat, GIREF, Quebec City, PQ G1V OA6, Canada

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2015年 / 53卷 / 03期

关键词：

Navier-Stokes equations; new boundary conditions; finite elements; VORTICITY-VELOCITY-PRESSURE; FORMULATION; STABILITY; FLOW;

D O I：

10.1137/140972299

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Stokes and Navier-Stokes equations with boundary conditions of Dirichlet type on the velocity on one part of the boundary and involving the pressure on the rest of the boundary. We write the variational formulations of such problems. Next we propose a finite element discretization of them and perform the a priori and a posteriori analysis of the discrete problem. Some numerical experiments are presented in order to justify our strategy.

引用

页码：1256 / 1279

页数：24

共 34 条

[1] Amrouche C, 1998, MATH METHOD APPL SCI, V21, P823, DOI 10.1002/(SICI)1099-1476(199806)21:9<823::AID-MMA976>3.0.CO
[2] 2-B
[3] Lp-THEORY FOR THE NAVIER-STOKES EQUATIONS WITH PRESSURE BOUNDARY CONDITIONS
Amrouche, Cherif
Seloula, Nour El Houda
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2013, 6 (05): : 1113 - 1137
[4] [Anonymous], 1968, Problemes Aux Limites Non-Homogenes et Applications
[5] [Anonymous], 2003, SOBOLEV SPACES
[6] [Anonymous], 1988, PITMAN RES NOTES MAT
[7] SPECTRAL APPROXIMATIONS OF THE STOKES EQUATIONS WITH BOUNDARY-CONDITIONS ON THE PRESSURE
BERNARDI, C
CANUTO, C
MADAY, Y
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1991, 28 (02) : 333 - 362
[8] BERNARDI C., 2004, COLLECTION MATH APPL, V45
[9] Bernardi C, 2002, Studies in mathematics and its applications, V31, P69
[10] Spectral discretization of the vorticity, velocity, and pressure formulation of the Stokes problem
Bernardi, Christine
Chorfi, Nejmeddine
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 2006, 44 (02) : 826 - 850

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