A NONLINEAR GALERKIN MIXED ELEMENT METHOD AND A POSTERIORI ERROR ESTIMATOR FOR THE STATIONARY NAVIER-STOKES EQUATIONS

Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (10): 1194-1206.

A NONLINEAR GALERKIN MIXED ELEMENT METHOD AND A POSTERIORI ERROR ESTIMATOR FOR THE STATIONARY NAVIER-STOKES EQUATIONS

罗振东^1,2, 朱江²

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

收稿日期:2000-08-30 修回日期:2002-04-01 出版日期:2002-10-18 发布日期:2002-10-18
基金资助:
the National Natural Science Foundation of China(10071052,49776283);the Evolvement Plan of Science and Technology of Beijing Educational Council;the Plan of Hundreds Persons of Chinese Academy of Sciences(K2952-51-434);the Beijing Excellent Talent Special Foundation;the Municipal Science Foundation of Beijing

A NONLINEAR GALERKIN MIXED ELEMENT METHOD AND A POSTERIORI ERROR ESTIMATOR FOR THE STATIONARY NAVIER-STOKES EQUATIONS

LUO Zhen-dong^1,2, ZHU Jiang ²

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:2000-08-30 Revised:2002-04-01 Online:2002-10-18 Published:2002-10-18
Supported by:
the National Natural Science Foundation of China(10071052,49776283);the Evolvement Plan of Science and Technology of Beijing Educational Council;the Plan of Hundreds Persons of Chinese Academy of Sciences(K2952-51-434);the Beijing Excellent Talent Special Foundation;the Municipal Science Foundation of Beijing

摘要/Abstract

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

中图分类号:

O241.4

罗振东;朱江. A NONLINEAR GALERKIN MIXED ELEMENT METHOD AND A POSTERIORI ERROR ESTIMATOR FOR THE STATIONARY NAVIER-STOKES EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(10): 1194-1206.

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 (English Edition), 2002, 23(10): 1194-1206.

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A NONLINEAR GALERKIN MIXED ELEMENT METHOD AND A POSTERIORI ERROR ESTIMATOR FOR THE STATIONARY NAVIER-STOKES EQUATIONS

A NONLINEAR GALERKIN MIXED ELEMENT METHOD AND A POSTERIORI ERROR ESTIMATOR FOR THE STATIONARY NAVIER-STOKES EQUATIONS

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