| Navier－Stokes方程的变网格非协调有限元法 |
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| 引用本文： | 戴培良,许学军.Navier－Stokes方程的变网格非协调有限元法[J].高校应用数学学报(A辑),1995(3). |
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| 作者姓名： | 戴培良 许学军 |
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| 作者单位： | 常熟高专，苏州大学 |
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| 摘 要： | 本文通过所谓的速度－压力型公式讨论了Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程的变网格非协调有限元逼近，得到了在确定模意义下的速度、压力误差估计，且在一定条件下，某些误差估计能达到最优。
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| 关 键 词： | 变网格，混合有限元，Navier－Stokes方程 |
THE NONCONFORMING FINITE ELEMENT METHODS WITH MOVING GRID OF NAVIER-STOKES EQUATIONS |
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| Dai Peiliang.THE NONCONFORMING FINITE ELEMENT METHODS WITH MOVING GRID OF NAVIER-STOKES EQUATIONS[J].Applied Mathematics A Journal of Chinese Universities,1995(3). |
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| Authors: | Dai Peiliang |
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| Abstract: | This paper deals with nonconforming finite element approximations with moving grid of Navier-Stokes equations in three-dimensional bounded domain,by using the so-called velocitypressure mixed formulation. Error estimates in a certain norm of the velocity and the pressure are derived for the nonconforming C-R scheme with moving grid. Moreover, we find that some error estimates are optimal. |
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| Keywords: | Moving Grid Mixed Finite Element Navier-Stokes Equations |
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