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

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.