TY - JOUR
T1 - A Nonconforming Anisotropic Finite Element Approximation with Moving Grids for Stokes Problem
AU - Dong-yang Shi & Yi-ran Zhang
JO - Journal of Computational Mathematics
VL - 5
SP - 561
EP - 578
PY - 2006
DA - 2006/10
SN - 24
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8775.html
KW - Stokes problem, Nonconforming finite element, Anisotropy, Moving grids, Error
estimate.
AB - <p style="text-align: justify;">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 previous literatures.</p>