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.
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页码：59 / 94
页数：36
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