A New Approach to Stability of Finite Elements Under Divergence Constraints

A New Approach to Stability of Finite Elements Under Divergence Constraints

Year:    1992

Author:    Tian-Xiao Zhou, Min-Fu Feng, Hua-Xin Xiong

Journal of Computational Mathematics, Vol. 10 (1992), Iss. 3 : pp. 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.  

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1992-JCM-9354

Journal of Computational Mathematics, Vol. 10 (1992), Iss. 3 : pp. 209–223

Published online:    1992-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:   

Author Details

Tian-Xiao Zhou

Min-Fu Feng

Hua-Xin Xiong