TY - JOUR
T1 - A New Approach to Stability of Finite Elements Under Divergence Constraints
AU - Zhou , Tian-Xiao
AU - Feng , Min-Fu
AU - Xiong , Hua-Xin
JO - Journal of Computational Mathematics
VL - 3
SP - 209
EP - 223
PY - 1992
DA - 1992/10
SN - 10
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9354.html
KW - 
AB - <p style="text-align: justify;">A new stability inequality for velocity-pressure F.E. approximations of Stokes (or Navier-Stokes) problems is presented in this paper. It is proved that the inequality holds if the so-called patch test of rank non-deficiency is passed. As a use of the new criterion, the stability of various new and old combinations of velocity interpolations with pressure interpolations is discussed. &nbsp;</p>