Convergence and stability of finite element nonlinear Galerkin method for the Navier-Stokes equations

Yinnian He; Kaitai Li

doi:10.1007/s002110050332

Convergence and stability of finite element nonlinear Galerkin method for the Navier-Stokes equations

Numerische Mathematik ◽

10.1007/s002110050332 ◽

1998 ◽

Vol 79 (1) ◽

pp. 77-106 ◽

Cited By ~ 31

Author(s):

Yinnian He ◽

Kaitai Li

Keyword(s):

Finite Element ◽

Galerkin Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Convergence And Stability ◽

Nonlinear Galerkin Method

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Full discrete nonlinear galerkin method for the Navier-Stokes equations

Applied Mathematics-A Journal of Chinese Universities ◽

10.1007/bf02662022 ◽

1994 ◽

Vol 9 (1) ◽

pp. 11-30 ◽

Cited By ~ 4

Author(s):

Li Kaitai ◽

He Yinnian ◽

Xiang Yimin

Keyword(s):

Galerkin Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Nonlinear Galerkin Method

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Solution of the incompressible Navier-Stokes equations by the nonlinear Galerkin method

Journal of Scientific Computing ◽

10.1007/bf01060871 ◽

1993 ◽

Vol 8 (2) ◽

pp. 167-194 ◽

Cited By ~ 31

Author(s):

T. Dubois ◽

F. Jauberteau ◽

R. Temam

Keyword(s):

Galerkin Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Nonlinear Galerkin Method

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Convergence Analysis of a Finite Element Projection/Lagrange--Galerkin Method for the Incompressible Navier--Stokes Equations

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142996313580 ◽

2000 ◽

Vol 37 (3) ◽

pp. 799-826 ◽

Cited By ~ 77

Author(s):

Y. Achdou ◽

J. L. Guermond

Keyword(s):

Finite Element ◽

Galerkin Method ◽

Convergence Analysis ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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A nonlinear Galerkin method for the Navier-Stokes equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(90)90028-k ◽

1990 ◽

Vol 80 (1-3) ◽

pp. 245-260 ◽

Cited By ~ 34

Author(s):

F. Jauberteau ◽

C. Rosier ◽

R. Temam

Keyword(s):

Galerkin Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Nonlinear Galerkin Method

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Nonlinear Galerkin method and two-step method for the Navier-Stokes equations

Numerical Methods for Partial Differential Equations ◽

10.1002/(sici)1098-2426(199605)12:3<283::aid-num1>3.0.co;2-k ◽

1996 ◽

Vol 12 (3) ◽

pp. 283-305 ◽

Cited By ~ 12

Author(s):

He Yinnian ◽

Li Kaitai

Keyword(s):

Galerkin Method ◽

Stokes Equations ◽

Navier Stokes ◽

Step Method ◽

Navier Stokes Equations ◽

Nonlinear Galerkin Method

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Nonlinear Galerkin method for Navier-Stokes equations with stream form

Nonlinear Evolutionary Partial Differential Equations - AMS/IP Studies in Advanced Mathematics ◽

10.1090/amsip/003/47 ◽

1996 ◽

pp. 521-525

Keyword(s):

Galerkin Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Nonlinear Galerkin Method

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An optimal nonlinear Galerkin method with mixed finite elements for the steady Navier-Stokes equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.10074 ◽

2003 ◽

Vol 19 (6) ◽

pp. 762-775 ◽

Cited By ~ 5

Author(s):

Yinnian He ◽

Aiwen Wang ◽

Zhangxin Chen ◽

Kaitai Li

Keyword(s):

Finite Elements ◽

Galerkin Method ◽

Stokes Equations ◽

Mixed Finite Elements ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Nonlinear Galerkin Method

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A fully discrete nonlinear Galerkin method for the 3D Navier-Stokes equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20287 ◽

2007 ◽

Vol 24 (3) ◽

pp. 759-775 ◽

Cited By ~ 3

Author(s):

J.-L. Guermond ◽

Serge Prudhomme

Keyword(s):

Galerkin Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Fully Discrete ◽

Nonlinear Galerkin Method

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Nonlinear Galerkin method for the exterior nonstationary Navier-Stokes equations

Applied Mathematics and Mechanics ◽

10.1007/bf02439459 ◽

2002 ◽

Vol 23 (11) ◽

pp. 1282-1291

Author(s):

He Yin-nian ◽

Li Kai-tai

Keyword(s):

Galerkin Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Nonlinear Galerkin Method

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Convergence and stability of two-level penalty mixed finite element method for stationary Navier-Stokes equations

Frontiers of Mathematics in China ◽

10.1007/s11464-013-0257-2 ◽

2013 ◽

Vol 8 (4) ◽

pp. 837-854

Author(s):

Pengzhan Huang ◽

Yinnian He ◽

Xinlong Feng

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Convergence And Stability ◽

Stationary Navier Stokes Equations ◽

Element Method

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