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| 非定常Navier-Stokes方程的稳定化特征有限元法 | |
| 引用本文： | 陈豫眉,骆艳,冯民富.非定常Navier-Stokes方程的稳定化特征有限元法[J].高等学校计算数学学报,2007,29(4):350-357. |
| 作者姓名： | 陈豫眉 骆艳 冯民富 |
| 作者单位： | 1. 西华师范大学数学与信息学院,南充,637002 2. 电子科技大学应用数学学院,成都,610054 3. 四川大学数学学院,成都,610064 |
| 摘 要： | 1引言特征线有限元法是求解对流扩散问题的有效方法。在处理对流占优问题时,表现出了很好的稳定性8]。对于求解Navier-Stokes方程,文9]建立了特征有限元格式,并进行了详细分析,但得到的收敛阶O(h~m △t (h~(m 1)/△t))只是拟丰满的。文10]对此作了非线性稳定性的进一步分析,给出了关于速度和压力的最优误差估计。但目前所有的特征有限元法都要求有限元空间满足inf-sup条件,这就排除了工程实际应用计算方便的低阶有 |
| 关 键 词： | Stokes方程 非定常N-S方程 特征有限元法 非线性稳定性 inf-sup条件 最优误差估计 有限元格式 有限元空间 |
| 收稿时间： | 2005-11-16 |
| 修稿时间： | 2005年11月16 |
A STABILIZED CHARACTERISTIC FINITE-ELEMENT METHODS FOR THE NON-STATIONARY NAVIER-STOKES EQUATION |
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| Chen Yumei,Luo Yan,Feng Minfu.A STABILIZED CHARACTERISTIC FINITE-ELEMENT METHODS FOR THE NON-STATIONARY NAVIER-STOKES EQUATION[J].Numerical Mathematics A Journal of Chinese Universities,2007,29(4):350-357. | |
| Authors: | Chen Yumei Luo Yan Feng Minfu |
| Institution: | School of Mathematics and Information, China West Normal University, Nanchong 637002;School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu 610054;Mathematical College, Sichuan University, Chengdu 610064 |
| Abstract: | In this paper, a stabilized characteristic finite element formulation of the N non-stationary Navier-Stokes equations is constructed. A macro element condition which is sufficient for the stability of mixed methods based on a piecewise constant pressure approximation (such as Q_1-P_0 or P_1-P_0) is introduced. The existence and uniqueness the solution of the finite element approximation problem are presented. The optimal error estimates based on the norm L~2 are also be obtained. |
| Keywords: | non-stationary Navier-Stokes equation stabilized characteristic finite-element error estimate |
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