SUPERCONVERGENCE ANALYSIS OF LOW ORDER NONCONFORMING MIXED FINITE ELEMENT METHODS FOR TIME-DEPENDENT NAVIER-STOKES EQUATIONS |
| |
Authors: | Huaijun Yang Dongyang Shi Qian Liu |
| |
Affiliation: | School of Mathematics,Zhengzhou University of Aeronautics,Zhengzhou 450046,China;School of Mathematics and Statistics,Zhengzhou University,Zhengzhou 450001,China |
| |
Abstract: | In this paper,the superconvergence properties of the time-dependent Navier-Stokes equations are investigated by a low order nonconforming mixed finite element method(MFEM).In terms of the integral identity technique,the superclose error estimates for both the velocity in broken H1-norm and the pressure in L2-norm are first obtained,which play a key role to bound the numerical solution in L∞-norm.Then the corresponding global superconvergence results are derived through a suitable interpolation postprocessing approach.Finally,some numerical results are provided to demonstrated the theoretical analysis. |
| |
Keywords: | Navier-Stokes equations Nonconforming MFEM Supercloseness and super-convergence |
本文献已被 维普 万方数据 等数据库收录! |
| 点击此处可从《计算数学(英文版)》浏览原始摘要信息 |
|