| 二阶双曲方程各向异性Hermite型有限元分析 |
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| 引用本文： | 石东洋,李玲玲. 二阶双曲方程各向异性Hermite型有限元分析[J]. 河南大学学报(自然科学版), 2007, 37(4): 331-333,376 |
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| 作者姓名： | 石东洋 李玲玲 |
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| 作者单位： | 郑州大学,数学系,郑州,450052;平顶山工学院,河南,平顶山,467000 |
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| 基金项目： | 国家自然科学基金资助项目(10371113,10671184) |
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| 摘 要： | 研究二阶双曲方程的各向异性矩形Hermite型有限元方法,利用积分恒等式技巧和新的估计方法,在解的光滑性更低且有限元的总体自由度比完全双二次矩形元还少1/4的情况下,得到了完全相同的超收敛性.最后,基于插值后处理技巧导出了相应的超收敛结果.
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| 关 键 词： | 二阶双曲方程 各向异性 Hermite型有限元 超逼近及超收敛 |
| 文章编号： | 1003-4978（2007）04-0331-04 |
| 修稿时间： | 2006-12-16 |
Analysis of Hermite Type Anisotropic Finite Element for Second Order Hyperbolic Equations |
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| SHI Dong-yang,LI Ling-ling. Analysis of Hermite Type Anisotropic Finite Element for Second Order Hyperbolic Equations[J]. Journal of Henan University(Natural Science), 2007, 37(4): 331-333,376 |
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| Authors: | SHI Dong-yang LI Ling-ling |
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| Affiliation: | 1. Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China; 2. Pingdingshan Institute of Technology, Henan Pingdingshan 467000, China |
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| Abstract: | In this paper,the anisotropic rectangular Hermite type finite element method for the Second order hyperbolic equations is studied.With integration identities and new estimating methods,the same superclose property as the complete biquadratic rectangular element is obtained under lower regularity of the exact solution and fewer degrees of freedom near to one quarter.At last,based on interpolate post-processing techniques,the superconvergence is derived. |
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| Keywords: | second order equation anisotropy Hermite type finite element superclose and superconvergence |
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