A FINITE ELEMENT DISCRETIZATION OF THE THREE-DIMENSIONAL NAVIER-STOKES EQUATIONS WITH MIXED BOUNDARY CONDITIONS

被引：20

作者：

Bernardi, Christine ^{[1
,2
]}

Hecht, Frederic ^{[1
,2
]}

Verfuerth, Ruediger ^{[3
]}

机构：

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

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

[3] Ruhr Univ Bochum, Fak Math, D-44780 Bochum, Germany

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2009年 / 43卷 / 06期

关键词：

Three-dimensional Navier-Stokes equations; mixed boundary conditions; finite element methods; a priori error estimates; a posteriori error estimates; VORTICITY-VELOCITY-PRESSURE;

D O I：

10.1051/m2an/2009035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a variational formulation of the three-dimensional Navier-Stokes equations with mixed boundary conditions and prove that the variational problem admits a solution provided that the domain satisfies a suitable regularity assumption. Next, we propose a finite element discretization relying on the Galerkin method and establish a priori and a posteriori error estimates.

引用

页码：1185 / 1201

页数：17

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