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Volume 10, Issue 3
A New Approach to Stability of Finite Elements Under Divergence Constraints

Tian-Xiao Zhou, Min-Fu Feng & Hua-Xin Xiong

J. Comp. Math., 10 (1992), pp. 209-223.

Published online: 1992-10

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  • Abstract

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.  

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@Article{JCM-10-209, author = {Zhou , Tian-XiaoFeng , Min-Fu and Xiong , Hua-Xin}, title = {A New Approach to Stability of Finite Elements Under Divergence Constraints}, journal = {Journal of Computational Mathematics}, year = {1992}, volume = {10}, number = {3}, pages = {209--223}, abstract = {

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.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9354.html} }
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 -

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.  

Tian-Xiao Zhou, Min-Fu Feng & Hua-Xin Xiong. (1970). A New Approach to Stability of Finite Elements Under Divergence Constraints. Journal of Computational Mathematics. 10 (3). 209-223. doi:
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