@Article{JCM-10-3, author = {Zhou, Tian-Xiao and Min-Fu, Feng 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/1992-JCM-9354}, url = {https://global-sci.com/article/85951/a-new-approach-to-stability-of-finite-elements-under-divergence-constraints} }