定常Navier-Stokes方程流函数形式两重网格算法的残量型后验误差估计  

Residual a Posteriori Error Estimate Two-Grid Methods for the Steady Navier-Stokes Equation With Stream Function Form

作　　者：任春风[1] 马逸尘[1] 

机构地区：[1]西安交通大学理学院,西安710049

出　　处：《应用数学和力学》2004年第5期497-510,共14页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(50136030;10371096)

摘　　要：　运用七种两重网格协调元方法得出了不可压Navier＿Stokes方程流函数形式的残量型后验误差估计·　对比标准有限元方法的后验误差估计,两重网格算法的后验误差估计多了一些额外项(三线性项)·　说明了这些额外项在误差估计中对研究离散解渐近性的重要性,推出了对于最优网格尺寸。Residual based on a posteriori error estimates for conforming finite element solutions of incompressible Navier_Stokes equations with stream function form which were computed with seven recently proposed two_level method were derived.The a posteriori error estimates contained additional terms in comparison to the error estimates for the solution obtained by the standard finite element method.The importance of these additional terms in the error estimates was investigated by studying their asymptotic behavior.For optimal scaled meshes,these bounds are not of higher order than of convergence of discrete solution.

关 键 词：两重网格方法 NAVIER-STOKES方程 残量型后验误差估计 有限元方法 流函数形式 

分 类 号：O357.1[理学—流体力学] O241.85[理学—力学]