| 四阶方程两点边值问题Hermite有限元的积分恒等式与整体超收敛 |
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| 引用本文： | 王奇生,邓康.四阶方程两点边值问题Hermite有限元的积分恒等式与整体超收敛[J].衡阳师范学院学报,2005,26(6):9-11. |
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| 作者姓名： | 王奇生 邓康 |
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| 作者单位： | 1. 南华大学,数理学院,湖南,衡阳,421001;湘潭大学,数学与计算科学学院,湖南,湘潭,411105
2. 湘潭大学,数学与计算科学学院,湖南,湘潭,411105 |
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| 基金项目： | 湖南省教育厅资助项目（04C560） |
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| 摘 要： | 研究了四阶方程两．点边值问题三次Hermite有限元的高精度积分恒等式。通过插值后处理技术，得到了如下的整体超收敛的结果：｜｜∏2h^5u6h-u｜｜，≤Ch^G-x｜｜u｜｜1，s=0，2。
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| 关 键 词： | 四阶方程 Hermite有限元 积分恒等式 插值后处理 超收敛 |
| 文章编号： | 1673-0303（2005）06-0009-03 |
| 收稿时间： | 2005-05-28 |
| 修稿时间： | 2005-05-28 |
Global Superconvergence and Integral Identity of Hermite Finite Element for Two-Point Boundary Value Problem of Fourth-Order Differential Equations |
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| WANG Qi-sheng,DENG Kang.Global Superconvergence and Integral Identity of Hermite Finite Element for Two-Point Boundary Value Problem of Fourth-Order Differential Equations[J].journal of Hengyang Normal University,2005,26(6):9-11. |
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| Authors: | WANG Qi-sheng DENG Kang |
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| Institution: | 1. School of Mathematics and Physics Science,Nanhua University, Hengyang Hunan 421001 ,Chian; 2. School of Mathematics and Computing Science,Xiangtan University,Xiangtan Hunan 411105,China |
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| Abstract: | The high accuracy integral identity is studied for the cubic Hermite finite element of two-point boundary value problem of fourth-order equations. By the interpolated postprocessing, we obtain the following results of the global superconvergence |
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| Keywords: | fourth-order differential equations Hermite finite element integral idemity interpolated postprocessing superconvergencergence |
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