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

作　　者：Yin-nianHe 

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

出　　处：《Journal of Computational Mathematics》2004年第1期21-32,共12页计算数学（英文）

摘　　要：In this article we consider a two-level finite element Galerkin method using mixed finite elements for the two-dimensional nonstationary incompressible Navier-Stokes equations. The method yields a H^1-optimal velocity approximation and a L^2-optimal pressure approximation. The two-level finite element Galerkin method involves solving one small,nonlinear Navier-Stokes problem on the coarse mesh with mesh size H, one linear Stokes problem on the fine mesh with mesh size h <<H. The algorithm we study produces an approximate solution with the optimal, asymptotic in h, accuracy.

分 类 号：O241.82[理学—计算数学]