A Nonlinear Galerkin Mixed Element Method and a Posteriori Error Estimator for the Stationary Navier-Stokes Equations

LUO Zhen-dong; ZHU Jiang

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Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(10): 1061-1072

LUO Zhen-dong, ZHU Jiang. A Nonlinear Galerkin Mixed Element Method and a Posteriori Error Estimator for the Stationary Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2002, 23(10): 1061-1072.

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A Nonlinear Galerkin Mixed Element Method and a Posteriori Error Estimator for the Stationary Navier-Stokes Equations

LUO Zhen-dong^1,2,
ZHU Jiang²

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: 2000-08-30
Rev Recd Date: 2002-04-01
Publish Date: 2002-10-15

Abstract

Abstract

A nonlinear Galerkin mixed element(NGME) method and a posteriori error estimator based on the method are established for the stationary Navier-Stokes equations. The esistence and error estimates of the NGME solution are first discussed,and then a posteriori error estimator based on the NGME method is derived.
- Navier-Stokes equation,
- nonlinear Galerkin mixed element method,
- error estimate,
- posteriori error estimator

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References(33)

References

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