| 一类发展方程的矩形非协调元逼近方法 |
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| 引用本文： | 王健,崔群法.一类发展方程的矩形非协调元逼近方法[J].安徽大学学报(自然科学版),2011(2):19-23. |
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| 作者姓名： | 王健 崔群法 |
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| 作者单位： | 安阳师范学院数学与统计学院 |
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| 基金项目： | 河南省自然科学基金资助项目(0511013800);河南省教育厅自然科学研究基金资助项目(2007110001) |
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| 摘 要： | 讨论一类发展方程——Navier-Stokes方程的矩形非协调有限元逼近方法.在区域剖分不要求满足通常的正则性假设或拟一致假设情形下,通过相应的矩形元及Navier-Stokes投影,得到与传统有限元相同的最优误差估计结果,从而扩展了有限元方法的工程应用范围.
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| 关 键 词： | Navier-Stokes方程 非协调元 Navier-Stokes投影 最优误差估计 |
Rectangular nonconforming finite element method for a class of nonstationary equations |
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| WANG Jian,CUI Qun-fa.Rectangular nonconforming finite element method for a class of nonstationary equations[J].Journal of Anhui University(Natural Sciences),2011(2):19-23. |
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| Authors: | WANG Jian CUI Qun-fa |
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| Institution: | (School of Mathematics and Statistics,Anyang Normal College,Anyang455002,China) |
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| Abstract: | The paper mainly discussed the rectangular nonconforming finite element methods for a class of nonstationary equations——Navier-Stokes equation.It showed that,without the usual regularity or quasi-uniform assumption,by using rectangular finite element and the Navier-Stokes projection,the same optimal error estimate as that for the traditional finite element method could be obtained,and there by the application of finite element methods could be extended. |
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| Keywords: | Navier-Stokes equation nonconforming finite element Navier-Stokes projection optimal error estimates |
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