A TWO-LEVEL FINITE ELEMENT GALERKIN METHOD FOR THE NONSTATIONARY NAVIER-STOKES EQUATIONS II： TIME DISCRETIZATION  

作　　者：Yin-nianHe Huan-lingMiao Chun-fengRen 

机构地区：[1]FacultyofScience(StateKeyLaboratoryofMultiphaseFlowinPowerEngineering),Xi'anJiaotongUniversity,Xi'an710049,China

出　　处：《Journal of Computational Mathematics》2004年第1期33-54,共22页计算数学（英文）

摘　　要：In this article we consider the fully discrete two-level finite element Galerkin method for the two-dimensional nonstationary incompressible Navier-Stokes equations. This method consists in dealing with the fully discrete nonlinear Navier-Stokes problem on a coarse mesh with width H and the fully discrete linear generalized Stokes problem on a fine mesh with width h << H. Our results show that if we choose H = O(h^1/2) this method is as the same stability and convergence as the fully discrete standard finite element Galerkin method which needs dealing with the fully discrete nonlinear Navier-Stokes problem on a fine mesh with width h. However, our method is cheaper than the standard fully discrete finite element Galerkin method.

分 类 号：O241.82[理学—计算数学]