| 定常Satokes方程的窄边四边形有限元法 |
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| 引用本文： | 李清善,陈绍春.定常Satokes方程的窄边四边形有限元法[J].应用数学,2003,16(1):38-41. |
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| 作者姓名： | 李清善 陈绍春 |
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| 作者单位： | 郑州大学数学系,河南,郑州,450052 |
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| 基金项目： | TheprojectsupportedbytheNationalNaturalScienceFoundationofChina(10 1710 92 ) |
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| 摘 要： | 本文提出了一个试探函数不满足divν＝0的定常Stokes方程的窄边四边形有限元法，利用窄边四边形等参有限元插值定理和Falk的思想，得到了H^1(Ω）模误差的最优收敛估计阶O（h）。
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| 关 键 词： | 有限元方法 窄边四边形元 定常Stokes方程 加罚法 |
A Finite Element Method of Narrow Quadrilateral for the Stationary Stokes Equations |
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| LI Qing-shan,CHEN Shao-chun.A Finite Element Method of Narrow Quadrilateral for the Stationary Stokes Equations[J].Mathematica Applicata,2003,16(1):38-41. |
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| Authors: | LI Qing-shan CHEN Shao-chun |
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| Abstract: | In this paper,we present a finite element method of narrow quadrilateral for the stationary Stokes equations which eliminates the divv = 0 restriction on the trial functions.By using the interpolation theorem for narrow quadrilateral isoparametric finite elements and Falks idea,the optimal O(h)order of convergence estimate is derived for the error in the H1(Ω)norm. |
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| Keywords: | Finite element method Narrow quadrilateral element Stationary Stokes equations Penalty method |
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