Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (10): 1207-1214.

• Articles • Previous Articles     Next Articles

CONVERGENCE OF SIMPLIFIED AND STABILIZED MIXED ELEMENT FORMATS BASED ON BUBBLE FUNCTION FOR THE STOKES PROBLEM

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: Two simplified and stabilized mixed element formats for the Stokes problem are derived by bubble function, and their convergence, i.e., error analysis, are proved. These formats can save more freedom degrees than other usual formats.

2010 MSC Number: 

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