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| 非定常对流占优扩散方程的非协调RFB稳定化方法分析 | |
| 引用本文： | 白艳红,冯民富,孔花.非定常对流占优扩散方程的非协调RFB稳定化方法分析[J].计算数学,2009,31(4):363-378. |
| 作者姓名： | 白艳红 冯民富 孔花 |
| 作者单位： | 1. 太原师范学院数学系,太原,030012;四川大学数学学院,成都,610064 2. 四川大学数学学院,成都,610064;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 |
| 基金项目： | 四川省科技攻关课题资助 |
| 摘 要： | 针对非定常对流占优扩散方程,我们采用非协调的Crouzeix-Raviart元逼近.基于Residual-Free Bubble方法思想,对时间项采用向后差分,提出了两种特殊的稳定化有限元格式;分析了与FDSD方法,TG方法的内在联系.最后,我们给出了一致的稳定性与误差分析. |
| 关 键 词： | 非协调RFB方法 Crouzeix-Raviart元 对流占优 |
| 收稿时间： | 2008-01-21 |
ANALYSIS OF A NONCONFORMING RFB STABILIZED METHOD FOR THE NONSTATIONARY CONVECTION-DOMINATED DIFFUSION EQUATION |
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| Bai Yanhong,Feng Minfu,Kong Hua.ANALYSIS OF A NONCONFORMING RFB STABILIZED METHOD FOR THE NONSTATIONARY CONVECTION-DOMINATED DIFFUSION EQUATION[J].Mathematica Numerica Sinica,2009,31(4):363-378. | |
| Authors: | Bai Yanhong Feng Minfu Kong Hua |
| Institution: | 1. Department of Mathematics, Taiyuan Techers College, Taiyuan 030012, China; 2. College of Mathematics, Sichuan University, Chengdu 610064, China; 3. School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu 610054, China |
| Abstract: | In this paper, we derive two kinds of stabilized forms for the nonstationary convection-dominated diffusion equations based on the idea of residual-free bubble method, where the Crouzeix-Raviart element is employed, and an implicit backward Euler method is considered for the time approximation. We compare the two forms with FDSD method and TG method, and analysis the relationship between them. The stability and convergence are proved independent of the viscous coefficient. |
| Keywords: | nonconforming RFB stabilized method Crouzeix-Raviart element convection- dominated |
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