| ANISOTROPIC BIQUADRATIC ELEMENT WITH SUPERCLOSE RESULT |
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| 作者姓名： | Dongyang SHI Shipeng MAO Hui LIANG |
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| 作者单位： | Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China. |
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| 基金项目： | The research is supported by National Science Foundation of China under Grant No. 10371113, Foundation of 0verseas Scholar of China under Grant No. （2002）119 and the Project of the Creative Engineering of Henan Province of China. |
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| 摘 要： | The main aim of this paper is to study the convergence of biquadratic finite element forthe second order problem on anisotropic meshes.By using some novel approaches and techniques,theoptimal error estimates are obtained.At the same time,the anisotropic superclose results are alsoachieved.Furthermore,the numerical results are given to demonstrate our theoretical analysis.
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| 关 键 词： | 各向异性 四次元 二阶问题 数字结果 数学分析 |
| 收稿时间： | 2003-11-03 |
| 修稿时间： | 2003-11-032005-06-28 |
Anisotropic Biquadratic Element with Superclose Result |
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| Dongyang SHI Shipeng MAO Hui LIANG.ANISOTROPIC BIQUADRATIC ELEMENT WITH SUPERCLOSE RESULT[J].Journal of Systems Science and Complexity,2006,19(4):566-576. |
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| Authors: | Dongyang Shi Shipeng Mao Hui Liang |
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| Institution: | (1) Department of Mathematics, Zhengzhou University, Zhengzhou, 450052, China |
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| Abstract: | The main aim of this paper is to study the convergence of biquadratic finite element tor the second order problem on anisotropic meshes. By using some novel approaches and techniques, the optimal error estimates are obtuined. At the same time, the anisotropic superclose results are also achieved. Furthermore, the numerical results are given to demonstrate our theoretical analysis. |
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| Keywords: | Anisotropic optimal error estimates superclose |
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