| SUPERCONVERGENCE ANALYSIS OF A NONCONFORMING TRIANGULAR ELEMENT ON ANISOTROPIC MESHES |
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| 引用本文： | Dongyang SHI Hui LIANG Caixia WANG. SUPERCONVERGENCE ANALYSIS OF A NONCONFORMING TRIANGULAR ELEMENT ON ANISOTROPIC MESHES[J]. 系统科学与复杂性, 2007, 20(4): 536-544. DOI: 10.1007/s11424-007-9051-0 |
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| 作者姓名： | Dongyang SHI Hui LIANG Caixia WANG |
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| 作者单位： | [1]Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China [2]Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China |
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| 基金项目： | The research is Supported by National Natural Science Foundation of China under Grant No. 10371113 |
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| 摘 要： | The class of anisotropic meshes we conceived abandons the regular assumption. Some distinct properties of Carey＇s element are used to deal with the superconvergence for a class of two- dimensional second-order elliptic boundary value problems on anisotropic meshes. The optimal results are obtained and numerical examples are given to confirm our theoretical analysis.
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| 关 键 词： | 各向异性 凯里元素 超收敛 数学模型 |
| 收稿时间： | 2004-11-09 |
| 修稿时间： | 2006-09-30 |
Superconvergence Analysis of a Nonconforming Triangular Element on Anisotropic Meshes |
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| Dongyang Shi,Hui Liang,Caixia Wang. Superconvergence Analysis of a Nonconforming Triangular Element on Anisotropic Meshes[J]. Journal of Systems Science and Complexity, 2007, 20(4): 536-544. DOI: 10.1007/s11424-007-9051-0 |
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| Authors: | Dongyang Shi Hui Liang Caixia Wang |
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| Affiliation: | (1) Department of Mathematics, Zhengzhou University, Zhengzhou, 450052, China;(2) Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, China |
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| Abstract: | The class of anisotropic meshes we conceived abandons the regular assumption. Some distinct properties of Carey’s element are used to deal with the superconvergence for a class of two-dimensional second-order elliptic boundary value problems on anisotropic meshes. The optimal results are obtained and numerical examples are given to confirm our theoretical analysis. The research is Supported by National Natural Science Foundation of China under Grant No. 10371113. |
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| Keywords: | Anisotropic meshes Carey’ s element Nonconforming superclose superconvergence |
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