| 非定常Stokes方程的多级增强Petrov-Galerkin低阶有限元方法 |
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| 引用本文： | 白艳红,冯民富.非定常Stokes方程的多级增强Petrov-Galerkin低阶有限元方法[J].应用数学学报,2011,34(1). |
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| 作者姓名： | 白艳红 冯民富 |
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| 作者单位： | 1. 太原师范学院数学系,太原,030012
2. 四川大学数学学院,成都,610064 |
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| 摘 要： | 本文对非定常的Stokes方程采用等阶P1/P1元逼近,增强速度有限元空间,应用Petrov-Galerkin途径,根据多级增强空间是否与时间t有关,对时间项采用向后差分,给出了两种全离散的稳定有限元格式.并且证明了这两种格式的稳定性与收敛性.
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| 关 键 词： | Petrov-Galerkin途径 P1/P1元 inf-sup条件 多级函数 |
The Multiscale Enrichment Petrov-Galerkin Method for the Non-stationary Stokes Equation |
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| BAI YANHONG,FENG MINFU.The Multiscale Enrichment Petrov-Galerkin Method for the Non-stationary Stokes Equation[J].Acta Mathematicae Applicatae Sinica,2011,34(1). |
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| Authors: | BAI YANHONG FENG MINFU |
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| Institution: | BAI YANHONG (Department of Mathematics,Taiyuan Teachers College,Taiyuan 030012) FENG MINFU (College of Mathematics,Sichuan University,Chengdu 610064) |
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| Abstract: | This work concerns the development of stabilized finite element methods for the nonstationary stokes problem considering equal order of velocity and pressure interpolations. The approach is based on the enrichment of the standard polynomial space for the velocity component with multiscale functions,a Petrov-Galerkin approach is employed.Basing on multiscale functions that relate or don't relate with the time,backward Euler method is employed for the time part.And we studied the stability and convergence of ... |
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| Keywords: | the Petrov-Galerkin approch P~1/P~1 element inf-sup condition the multiscale functions |
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