| 二阶双曲方程二次三角形有限元的超收敛分析 |
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| 引用本文： | 吴志勤,王芬玲.二阶双曲方程二次三角形有限元的超收敛分析[J].许昌师专学报,2010(5):1-3. |
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| 作者姓名： | 吴志勤 王芬玲 |
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| 作者单位： | 许昌学院数学与统计学院,河南许昌461000 |
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| 基金项目： | 河南省教育厅自然科学基金（2010A110018） |
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| 摘 要： | 研究二次三角形有限元对二阶双曲方程的逼近问题.针对已有文献结论在解的光滑度降低一阶的情况下,利用分析和估计技巧,并结合积分恒等式和插值后处理技术,得到了相应的超逼近与超收敛结果,从而拓宽了有限元的应用范围.
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| 关 键 词： | 二阶双曲方程 三角形二次元 插值后处理技术 超逼近和超收敛 |
Superconvergence Analysis of Quadratic Triangular Element for Second Order Hyperbolic Equations |
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| WU Zhi-qin,WANG Fen-ling.Superconvergence Analysis of Quadratic Triangular Element for Second Order Hyperbolic Equations[J].Journal of Xuchang Teachers College(Social Science Edition),2010(5):1-3. |
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| Authors: | WU Zhi-qin WANG Fen-ling |
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| Institution: | (School of Mathematics and Statistics,Xuchang University,Xuchang 461000,China) |
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| Abstract: | In this paper the approximation problem of second order hyperbolic equations is studied with quadratic triangular element.Based on previous literatures,integral identity and post-processing technique together with different analytic and estimate techniques,the same superclose property and super convergence are obtained.Thus the applicable scope of finite element method is extended. |
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| Keywords: | second order hyperbolic equations quadratic triangular element post-processing technique supercioseness and superconvergence |
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