| 非线性拟双曲方程有限元方法的整体超收敛 |
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| 引用本文： | 张步英,;尹洪武,;王静,;郑俊玲,;邢国强.非线性拟双曲方程有限元方法的整体超收敛[J].佳木斯工学院学报,2009(6):931-932. |
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| 作者姓名： | 张步英 ;尹洪武 ;王静 ;郑俊玲 ;邢国强 |
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| 作者单位： | [1]河北科技师范学院欧美学院,河北秦皇岛066004; [2]河北科技师范学院数理系,河北秦皇岛066004 |
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| 摘 要： | 研究了一类非线性拟双曲方程的双线性有限元方法.在不引入真解的Ritz-Volterra投影的情况下,应用插值后处理技巧,得到了其半离散格式下的整体超收敛结果.
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| 关 键 词： | 非线性拟双曲方程 整体超收敛 插值后处理技巧 |
The Global Superconvergence of Finite Element Method for a Kind of Nonlinear Hypobolic Equation |
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| Affiliation: | ZHANG Bu-ying,YIN Hong-wu,WANG Jing,ZHENG Jun-ling, XING Guo-qiang (1.E ＆ A College,Hebei Normal University of Science ＆ Technology,Qinhuangdao 066004,China;2.Dept of Math and Physics,Hebei Normal University of Science ＆ Technology,Qinhuangdao 066004,China) |
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| Abstract: | In this paper,the bilinear finite element method for a kind of nonlinear hypobolic equations was discussed.Without referring to the traditional Ritz-Volterra projection of the solution of the problem,the global superconvergence was derived for the semidiscrete scheme＇s error estimation through postprocessing technology. |
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| Keywords: | nonlinear hypobolic equation global superconvergence postprocessing operator |
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