%0 Journal Article
%T Error Estimate and Stability of a Two-grid Method for the Unsteady Incompressible Navier-Stokes Equations<br>非定常不可压Navier-Stokes方程两重网格方法的稳定性和L2误差估计
%A Ren Chunfeng
%A Ma Yichen
%A <br>任春风
%A 马逸尘
%J 系统科学与数学
%D 2006
%I 
%X A two-grid method for the unsteady Navier-Stokes equations modelling viscous incompressible flow is discussed in R2, which consists of finding a solution for a nonlinear problem on a coarse grid and a solution for the Stokes problem on a fine grid. A new fully discrete scheme for the numerical solution of these equations is also considered where the spatial discreteness is the mixed finite elements and the temporal discreteness is the Crank-Nicolson scheme. The stability for this scheme is proved and an L2 error estimate is also given. Compared with the usual finite element method, this method can save a lot of computation time under the same convergence accuracy.
%K Unsteady Navier-Stokes equations
%K two-grid method
%K Crank-Nicolson scheme
%K stability<br>非定常Navier-Stokes方程
%K 两重网格方法
%K Crank-Nicolson格式
%K 稳定性
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=1428102B09E2ACFE&yid=37904DC365DD7266&vid=96C778EE049EE47D&iid=E158A972A605785F&sid=8CCD0401CC9AE432&eid=F10601728A1E9BEA&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=13