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

• Articles • Previous Articles     Next Articles

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

LUO Zhen-dong1,2, ZHU Jiang 2   

  1. 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

Abstract: 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

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