| A NONLINEAR GALERKIN MIXED ELEMENT METHOD AND A POSTERIORI ERROR ESTIMATOR FOR THE STATIONARY NAVIER-STOKES EQUATIONS |
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| 引用本文： | 罗振东,朱江. A NONLINEAR GALERKIN MIXED ELEMENT METHOD AND A POSTERIORI ERROR ESTIMATOR FOR THE STATIONARY NAVIER-STOKES EQUATIONS[J]. 应用数学和力学(英文版), 2002, 23(10): 1194-1206. DOI: 10.1007/BF02437668 |
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| 作者姓名： | 罗振东 朱江 |
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| 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) |
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| 基金项目： | theNationalNaturalScienceFoundationofChina (10 0 710 5 2497762 83 )，theEvolvementPlanofScienceandTechnologyofBeijingEducationalCouncil，the“PlanofHundredsPersons”ofChineseAcademyofSciences (K2 95 2_5 1_43 4)，theBeijingExcellentTalentSpecialF |
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| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｎｏｎｌｉｎｅａｒＧａｌｅｒｋｉｎｍｅｔｈｏｄｉｓａｍｕｌｔｉ＿ｌｅｖｅｌｓｃｈｅｍｅｔｏｆｉｎｄｔｈｅａｐｐｒｏｘｉｍａｔｅｓｏｌｕｔｉｏｎｆｏｒｔｈｅｄｉｓｓｉｐａｔｉｖｅＰＤＥ (ｐａｒｔｉａｌｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎ) .Ｔｈｉｓｍｅｔｈｏｄｃｏｎｓｉｓｔｓｉｎｓｐｌｉｔｔｉｎｇｔｈｅｕｎｋｎｏｗｎｉｎｔｏｔｗｏ (ｏｒｍｏｒｅ)ｔｅｒｍｓ ,ｗｈｉｃｈｂｅｌｏｎｇｔｏｔｈｅｄｉｓｃｒｅｔｅｓｐａｃｅｓｗｉｔｈｄｉｆｆｅｒｅｎｔｍｅｓｈｓｉｚｅ .Ｔｈｅ…
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| 收稿时间： | 2000-08-30 |
A nonlinear galerkin mixed element method and a posteriori error estimator for the stationary navier-stokes equations |
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| Luo Zhen-dong Professor, Doctor,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. DOI: 10.1007/BF02437668 |
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| Authors: | Luo Zhen-dong Professor Doctor Zhu Jiang |
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| 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 |
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| 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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| Keywords: | Navier_Stokes equation nonlinear Galerkin mixed element method error estimate posteriori error estimator |
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