| CONVERGENCE ANALYSIS FOR A NONCONFORMING MEMBRANE ELEMENT ON ANISOTROPIC MESHES |
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| 作者姓名： | Dong-yang Shi Shao-chun Chen Ichiro Hagiwara |
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| 作者单位： | [1]Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China [2]Tokyo Institute of Technology, 2-12-1 Ohokayama, Megro, Tokyo, 152-8552, Japan |
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| 基金项目： | This research is supported by NSF of China （N0.10371113 and N0. 10471133）, Foundation of 0versea Scholar of China（N0.2001（119））, the Project of Creative Engineering of Henan Province of China and NSF of Henan Province of China. |
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| 摘 要： | Regular assumption of finite element meshes is a basic condition of most analysis offinite element approximations both for conventional conforming elements and nonconform-ing elements.The aim of this paper is to present a novel approach of dealing with theapproximation of a four-degree nonconforming finite element for the second order ellipticproblems on the anisotropic meshes.The optimal error estimates of energy norm and L~2-norm without the regular assumption or quasi-uniform assumption are obtained based onsome new special features of this element discovered herein.Numerical results are givento demonstrate validity of our theoretical analysis.
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| 关 键 词： | 各向异性网孔 非一致性有限元 最佳估计 收敛性 |
| 收稿时间： | 2003-10-16 |
| 修稿时间： | 2003-10-162004-06-08 |
CONVERGENCE ANALYSIS FOR A NONCONFORMING MEMBRANE ELEMENT ON ANISOTROPIC MESHES |
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| Dong-yang Shi Shao-chun Chen Ichiro Hagiwara.CONVERGENCE ANALYSIS FOR A NONCONFORMING MEMBRANE ELEMENT ON ANISOTROPIC MESHES[J].Journal of Computational Mathematics,2005,23(4):373-382. |
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| Authors: | Dong-yang;Shi;Shao-chun;Chen;Ichiro;Hagiwara |
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| Abstract: | Regular assumption of finite element meshes is a basic condition of most analysis of finite element approximations both for conventional conforming elements and nonconforming elements. The aim of this paper is to present a novel approach of dealing with the approximation of a four-degree nonconforming finite element for the second order elliptic problems on the anisotropic meshes. The optimal error estimates of energy norm and L^2-norm without the regular assumption or quasi-uniform assumption are obtained based on some new special features of this element discovered herein. Numerical results are given to demonstrate validity of our theoretical analysis. |
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| Keywords: | Anisotropic mesh Nonconforming finite element Optimal estimate |
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