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Stokes方程的全离散有限元方法
引用本文:姜子文.Stokes方程的全离散有限元方法[J].山东师范大学学报(自然科学版),1993,8(2):1-5.
作者姓名:姜子文
作者单位:山东师范大学数学系 济南
摘    要:本文提出了非定常不可压Stokes方程的空间变量用有限元离散、时间变量用差分离散的方法(全离散有限元方法),并给出了离散时间有限元的最优L~2、H~1和积分的误差估计。

关 键 词:有限元  斯托克斯方程  全离散有限元

THE FULLY DISCRETE FINITE ELEMENT METHOD FOR THE STOKES EQUATION
Jiang Ziwen Author's address.THE FULLY DISCRETE FINITE ELEMENT METHOD FOR THE STOKES EQUATION[J].Journal of Shandong Normal University(Natural Science),1993,8(2):1-5.
Authors:Jiang Ziwen Author's address
Institution:Jiang Ziwen Author's address Department of Mathematics,Shandong Normal University,Jinan,PRC,250014.
Abstract:The method is presented in this paper that discretized the space variable by finite element and discretized the time variable by difference(the fully discrete finite. element method) for the nonstationary and incompressible Stokes equation. And then the optimal L~2 ,H and integral error estimates for the discrete-time finite element approximation are derived.
Keywords:finite element  discretization  Sobolev spice  error
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