A Nonlinear Galerkin/Petrov-Least Squares Mixed Element Method for the Stationary Navier-Stokes Equations

LUO Zhen-dong; ZHU Jiang; WANG Hui-jun

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Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(7): 697-706

LUO Zhen-dong, ZHU Jiang, WANG Hui-jun. A Nonlinear Galerkin/Petrov-Least Squares Mixed Element Method for the Stationary Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2002, 23(7): 697-706.

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A Nonlinear Galerkin/Petrov-Least Squares Mixed Element Method for the Stationary Navier-Stokes Equations

1.
Department of Mathematics, Capital Normal University, Beijing 100037, P R China;
2.
ICCES, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, P R China

Received Date: 2000-09-08
Rev Recd Date: 2002-03-30
Publish Date: 2002-07-15

Abstract

Abstract

A nonlinear Galerkin/Petrov-least squares mixed element (NGPLSME) method for the stationary Navier-Stokes equations is presented and analyzed. The scheme is that Petrov-least squares forms of residuals are added to the nonlinear Galerkin mixed element method so that it is stable for any combination of discrete velocity and pressure spaces without requiring the Babu韐a-Brezzi stability condition. The existence, uniqueness and convergence (at optimal rate) of the NGPLSME solution is.
- Navier-Stokes equations,
- nonlinear Galerkin mixed element method,
- Petrov-least squares method,
- error estimate

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References

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