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| 非线性双曲方程的类Wilson元超收敛分析 | |
| 引用本文： | 王芬玲,李新祥,樊明智,石东洋.非线性双曲方程的类Wilson元超收敛分析[J].河南师范大学学报(自然科学版),2013,41(5):29-33. |
| 作者姓名： | 王芬玲 李新祥 樊明智 石东洋 |
| 作者单位： | 1. 许昌学院数学与统计学院,河南许昌,461000 2. 上海大学理学院,上海,200444 3. 郑州大学数学与统计学院,郑州,450001 |
| 基金项目： | 国家自然科学基金，河南省教育厅自然科学基金，许昌市科技计划项目 |
| 摘 要： | 在半离散格式下讨论了非线性双曲方程的类Wilson非协调有限元逼近.利用该元的相容误差在能量模意义下可以达到O(h2)比其插值误差高一阶的特殊性质,再结合其协调部分的高精度分析及导数转移和平均值技巧,导出了O(h2)阶的超逼近性.进而,通过运用插值后处理方法得到了超收敛结果. |
| 关 键 词： | 非线性双曲方程 类Wilson元 超逼近 超收敛 |
Superconvergence Analysis of Quasi-Wilson Element for Nonlinear Hyperbolic Equation |
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| WANG Fenling , LI Xinxiang , FANG Mingzhi , SHI Dongyang.Superconvergence Analysis of Quasi-Wilson Element for Nonlinear Hyperbolic Equation[J].Journal of Henan Normal University(Natural Science),2013,41(5):29-33. | |
| Authors: | WANG Fenling LI Xinxiang FANG Mingzhi SHI Dongyang |
| Institution: | WANG Fenling;LI Xinxiang;FANG Mingzhi;SHI Dongyang;School of Mathematics and Statistics,Xuchang University;College of Sciences,Shanghai University;School of Mathematics and Statistics,Zhengzhou University; |
| Abstract: | Nonconforming quasi-Wilson finite element approximation to nonlinear hyperbolic equation is discussed for the semi-discrete scheme.By use of the special property of the element,i.e.,the consistence error in energy norm is of order O(h2),one order higher than its interpolation error,the superclose property with order O(h2)is derived by higher accuracy analysis of its conforming part,the derivative transfering and mean-value technique.Furthermore,the superconvergence result is obtained through the interpolated postprocessing method. |
| Keywords: | nonlinear hyperbolic equation quasi-Wilson element superclose superconvergence |
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