Navier-Stokes方程带Backtracking技巧的两重网格算法  

A TWO-GRID METHOD WITH BACKTRACKING TECHNIQUE FOR THE NAVIER-STOKES EQUATIONS

作　　者：任春风[1] 马逸尘[1] 应根军[1] 

机构地区：[1]西安交通大学理学院科学计算系,西安710049

出　　处：《高等学校计算数学学报》2003年第3期193-204,共12页Numerical Mathematics A Journal of Chinese Universities

基　　金：国家自然科学基金(10001028和50136030)

摘　　要：1引言 考虑二维不可压Navier-Stokes方程:A two-grid method for the incompressible Navier-Stokes equations is considered in R2. The method involves solving a nonlinear problem on a coarse mesh, a Stokes problem on a fine mesh and a linear correction problem on the coarse mesh. L2 and H1 optimal velocity approximations and an L2 optimal pressure approximation are given for fixed Reynolds numbers. Compared with the usual finite element method solving the same nonlinear problem on the fine mesh, this method can save much CPU time. A numerical experiment is also given to verify the correctness of theoretical analysis.

关 键 词：NAVIER-STOKES方程 Backtracking技巧 两重网格算法 有限元法 双线性算子 能量范数估计 L^2误差估计 

分 类 号：O241.82[理学—计算数学]