Stability of a finite element method for 3D exterior stationary Navier-Stokes flows

被引：3

作者：

Deuring, Paul ^{[1
]}

机构：

[1] Univ Littoral, Lab Math Pures & Appl, F-62228 Calais, France

来源：

APPLICATIONS OF MATHEMATICS | 2007年 / 52卷 / 01期

关键词：

stationary incompressible Navier-Stokes flows; exterior domains; stabilized finite element methods; stability estimates; ARTIFICIAL BOUNDARY-CONDITIONS; WEIGHTED SOBOLEV SPACES; UNBOUNDED-DOMAINS; NONZERO VELOCITY; EQUATIONS; INFINITY; OSEEN;

D O I：

10.1007/s10492-007-0003-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider numerical approximations of stationary incompressible Navier-Stokes flows in 3D exterior domains, with nonzero velocity at infinity. It is shown that a P1-P1 stabilized finite element method proposed by C. Rebollo: A term by term stabilization algorithm for finite element solution of incompressible flow problems, Numer. Math. 79 (1998), 283-319, is stable when applied to a Navier-Stokes flow in a truncated exterior domain with a pointwise boundary condition on the artificial boundary.

引用

页码：59 / 94

页数：36

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