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;
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
收藏
页码：59 / 94
页数：36
相关论文
共 50 条
  • [21] Stationary Navier-Stokes equations under inhomogeneous boundary conditions in 3D exterior domains
    Hieber, Matthias
    Kozono, Hideo
    Seyfert, Anton
    Shimizu, Senjo
    Yanagisawa, Taku
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021, 60 (05)
  • [22] A Stabilized Difference Finite Element Method for the 3D Steady Incompressible Navier-Stokes Equations
    Xiaoli Lu
    Pengzhan Huang
    Xinlong Feng
    Yinnian He
    Journal of Scientific Computing, 2022, 92
  • [23] A Stabilized Difference Finite Element Method for the 3D Steady Incompressible Navier-Stokes Equations
    Lu, Xiaoli
    Huang, Pengzhan
    Feng, Xinlong
    He, Yinnian
    JOURNAL OF SCIENTIFIC COMPUTING, 2022, 92 (03)
  • [24] Non-stationary creeping flows for incompressible 3D Navier-Stokes equations
    Ershkov, Sergey V.
    EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 2017, 61 : 154 - 159
  • [25] Non-stationary helical flows for incompressible 3D Navier-Stokes equations
    Ershkov, Sergey V.
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 274 : 611 - 614
  • [26] The finite volume method based on stabilized finite element for the stationary Navier-Stokes problem
    He, Guoliang
    He, Yinnian
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 205 (01) : 651 - 665
  • [27] Finite Element Iterative Methods for the 3D Steady Navier-Stokes Equations
    He, Yinnian
    ENTROPY, 2021, 23 (12)
  • [28] On the stationary Navier-Stokes equations in exterior domains
    Kim, Hyunseok
    Kozono, Hideo
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 395 (02) : 486 - 495
  • [29] An analysis of a weak Galerkin finite element method for stationary Navier-Stokes problems
    Zhang, Tie
    Lin, Tao
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 362 : 484 - 497
  • [30] Stabilized finite element method for the non-stationary Navier-Stokes problem
    He, YN
    Lin, YP
    Sun, WW
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2006, 6 (01): : 41 - 68
12345