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

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

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

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

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

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： 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.

中图分类号:

O241.4

罗振东;朱江. CONVERGENCE OF SIMPLIFIED AND STABILIZED MIXED ELEMENT FORMATS BASED ON BUBBLE FUNCTION FOR THE STOKES PROBLEM[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(10): 1207-1214.

LUO Zhen-dong;ZHU Jiang . CONVERGENCE OF SIMPLIFIED AND STABILIZED MIXED ELEMENT FORMATS BASED ON BUBBLE FUNCTION FOR THE STOKES PROBLEM[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(10): 1207-1214.

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[2]	罗振东;毛允魁;朱江. NONLINEAR GALERKIN MIXED ELEMENT METHODS FOR STATIONARY INCOMPRESSIBLE MAGNETOHYDRODYNAMICS[J]. Applied Mathematics and Mechanics (English Edition), 2006, 27(12): 1697-1707 .
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[4]	罗振东;朱江;曾庆存;谢正辉. MIXED FINITE ELEMENT METHODS FOR THE SHALLOW WATER EQUATIONS INCLUDING CURRENT AND SILT SEDIMENTA-TION(Ⅰ)-THE CONTINUOUS-TIME CASE[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(1): 80-92.
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[7]	罗振东;朱江;王会军. A NONLINEAR GALERKIN/PETROV-LEAST SQUARES MIXED ELEMENT METHOD FOR THE STATIONARY NAVIER-STOKES EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(7): 783-793.

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

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

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