| Navier—Stokes方程的非协调有限元法 |
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| 引用本文： | 舒琪,戴培良.Navier—Stokes方程的非协调有限元法[J].常熟理工学院学报,2009,23(2):8-14. |
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| 作者姓名： | 舒琪 戴培良 |
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| 作者单位： | 常熟理工学院,数学系,江苏,常熟,215500 |
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| 摘 要： | 通过速度-压力型公式讨论了Navier—Stokes方程的非协调有限元法（全离散情形）．首先给出了所讨论方程的集中质量非协调有限元逼近格式，其次对所讨论方程的真解与逼近格式的解之间的误差进行了分析，最后利用Navier—Stokes投影算子及其性质，得到了在确定模意义下的速度、压力误差估计，且某些误差估计能达到最优．
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| 关 键 词： | 集中质量 非协调有限元 Navier—Stokes方程 误差估计 |
Nonconforming Finite Element Methods for Navier-Stokes Problem |
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| SHU Qi,DAI Pei-liang.Nonconforming Finite Element Methods for Navier-Stokes Problem[J].Journal of Changshu Institute of Technology,2009,23(2):8-14. |
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| Authors: | SHU Qi DAI Pei-liang |
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| Institution: | Department of Mathematics;Changshu Institute of Technology;Changshu 215500;China |
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| Abstract: | In this paper,the nonconforming finite element methods are treated for an initial-boundary value problem of a Navier-Stokes equation in two-dimensional space.Firstly,we study the discrete approximation scheme of the nonconforming finite element methods of the problem in discussion.Secondly,the error estimates for the solution of the problem in discussion and the solution to the discrete approximation scheme are considered. Finally,by means of the Stokes projection operator,some error estimates on-norm and e... |
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| Keywords: | nonconforming finite element method Navier-Stokes equation error estimate |
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