Volume 10, Issue 2
On the Stability of Biquadratic-Bilinear Velocity-Pressure Finite Elements

Jin-Sheng Jiang & Xiao-Liang Cheng

J. Comp. Math., 10 (1992), pp. 167-170.

Published online: 1992-10

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  • Abstract

In this paper, the stability of biquadratic-bilinear velocity-pressure finite elements are discussed for the stationary Stokes problem. It is proved that there exist constants $c ,c' >0$ independent of $h$ such that

image.png

 
Hence a question in [1] is answered.

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@Article{JCM-10-167, author = {Jiang , Jin-Sheng and Cheng , Xiao-Liang}, title = {On the Stability of Biquadratic-Bilinear Velocity-Pressure Finite Elements}, journal = {Journal of Computational Mathematics}, year = {1992}, volume = {10}, number = {2}, pages = {167--170}, abstract = {

In this paper, the stability of biquadratic-bilinear velocity-pressure finite elements are discussed for the stationary Stokes problem. It is proved that there exist constants $c ,c' >0$ independent of $h$ such that

image.png

 
Hence a question in [1] is answered.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9349.html} }
TY - JOUR T1 - On the Stability of Biquadratic-Bilinear Velocity-Pressure Finite Elements AU - Jiang , Jin-Sheng AU - Cheng , Xiao-Liang JO - Journal of Computational Mathematics VL - 2 SP - 167 EP - 170 PY - 1992 DA - 1992/10 SN - 10 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9349.html KW - AB -

In this paper, the stability of biquadratic-bilinear velocity-pressure finite elements are discussed for the stationary Stokes problem. It is proved that there exist constants $c ,c' >0$ independent of $h$ such that

image.png

 
Hence a question in [1] is answered.

Jin-Sheng Jiang & Xiao-Liang Cheng. (1970). On the Stability of Biquadratic-Bilinear Velocity-Pressure Finite Elements. Journal of Computational Mathematics. 10 (2). 167-170. doi:
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