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CONVERGENCE OF SIMPLIFIED AND STABILIZED MIXED ELEMENT FORMATS BASED ON BUBBLE FUNCTION FOR THE STOKES PROBLEM
引用本文:罗振东,朱江. CONVERGENCE OF SIMPLIFIED AND STABILIZED MIXED ELEMENT FORMATS BASED ON BUBBLE FUNCTION FOR THE STOKES PROBLEM[J]. 应用数学和力学(英文版), 2002, 23(10): 1207-1214. DOI: 10.1007/BF02437669
作者姓名:罗振东  朱江
作者单位:LUO Zhen_dong,ZHU Jiang (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)(Communicated by XU Zheng_fan)
基金项目:theNationalNaturalScienceFoundationofChina (10 0 710 5 2497762 83 ),theEvolvementPlanofScienceandTechnologyofBeijingEducationalCouncil,the“PlanofHundredsPer sons”ofChineseAcademyofSciences (K2 95 2_5 1_43 4),theBeijingExcellentTalentSpecialFou
摘    要:
IntroductionInordertogetridoftherestrictiontodiscreteBabuska_Brezzi’sconditionsinresearchesofmixedfiniteelement (MFE)methods,oneusuallyusesthestabilizedMFEmethodsformat[1] .Thereareanumberofstabilizedmethods (see ,e.g .,Refs.[1- 7]andthereferencestherein) ,whichh…

收稿时间:2000-08-30

Convergence of simplified and stabilized mixed element formats based on bubble function for the stokes problem
Luo Zhen-dong Professor, Doctor,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. DOI: 10.1007/BF02437669
Authors:Luo Zhen-dong Professor   Doctor  Zhu Jiang
Affiliation:1. Department of Mathematics, Capital Normal University,Beijing 100037, P R China;ICCES, Institute of Atmospheric Physics, Chinese Academy of Sciences,Beijing 100029, P R China
2. ICCES, Institute of Atmospheric Physics, Chinese Academy of Sciences,Beijing 100029, P R China
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.
Keywords:Stokes problem  stabilized format  mixed element format  error analysis
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