A NONCONFORMING ANISOTROPIC FINITE ELEMENT APPROXIMATION WITH MOVING GRIDS FOR STOKES PROBLEM |
| |
Authors: | Dong-yang Shi & Yi-ran Zhang |
| |
Abstract: | This paper is devoted to the five parameters nonconforming finite element schemes with moving grids for velocity-pressure mixed formulations of the nonstationary Stokes problem in 2-D. We show that this element has anisotropic behavior and derive anisotropic error estimations in some certain norms of the velocity and the pressure based on some novel techniques. Especially through careful analysis we get an interesting result on consistency error estimation, which has never been seen for mixed finite element methods in the previously literatures. |
| |
Keywords: | Stokes problem Nonconforming finite element Anisotropy Moving grids Error estimate |
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 |