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| 非定常Stokes方程混合有限元方法 | |
| 引用本文： | 于静之,陈焕贞,刘祥忠.非定常Stokes方程混合有限元方法[J].山东大学学报(理学版),2008,43(10):85-90. |
| 作者姓名： | 于静之 陈焕贞 刘祥忠 |
| 作者单位： | 1. 山东医学高等专科学校,山东,济南,250002 2. 山东师范大学数学科学学院,山东,济南,250014 3. 山东师范大学第二附属中学,山东,济南,250014 |
| 摘 要： | 本文给出二维非定常Stokes方程的流函数-涡度表达式， 采用混合有限元方法分别讨论流函数方程和涡度方程，得到流函数、涡度及流速场的最优阶L2误差估计。 |
| 关 键 词： | 非定常Stokes方程 流函数-涡度表达式 混合有限元方法 误差估计 |
The mixed finite element method for the unsteady Stokes equation |
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| YU Jing-zhi,CHEN Huan-zhen,LIU Xiang-zhong.The mixed finite element method for the unsteady Stokes equation[J].Journal of Shandong University,2008,43(10):85-90. | |
| Authors: | YU Jing-zhi CHEN Huan-zhen LIU Xiang-zhong |
| Institution: | 1. Shandong Medical College, Jinan 250002, Shandong， China;2. School of Mathematics Science, Shandong Normal University, Jinan 250014, Shandong， China； 3. No. 2 Middle School of Shandong Normal University, Jinan 250014 Shandong， China |
| Abstract: | The mixed finite element method for the unsteady Stokes equation was studied. This method is based on using the stream function and vorticity formulation of the unsteady Stokes equation. Error analysis shows that this method is stable and optimal for the stream function and the velocity field in L2 norm. |
| Keywords: | the unsteady Stokes equation the stream function and vorticity formulation the mixed finite element method error analysis |
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