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Volume 4, Issue 2
An Analysis of Penalty-Nonconforming Finite Element Method for Stokes Equations

Hou-De Han

J. Comp. Math., 4 (1986), pp. 164-172.

Published online: 1986-04

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  • Abstract

In this paper, the penalty-nonconforming finite element method for Stokes equations is considered. An abstract error estimate is given. For Crouzeix-Raviart nonconforming triangular elements, in particular, the analysis shows that the "reduced integration" technique is not necessary in the integration of the penalty term on each element. It means that a loss of precision is avoided in this penalty method.

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@Article{JCM-4-164, author = {Han , Hou-De}, title = {An Analysis of Penalty-Nonconforming Finite Element Method for Stokes Equations}, journal = {Journal of Computational Mathematics}, year = {1986}, volume = {4}, number = {2}, pages = {164--172}, abstract = {

In this paper, the penalty-nonconforming finite element method for Stokes equations is considered. An abstract error estimate is given. For Crouzeix-Raviart nonconforming triangular elements, in particular, the analysis shows that the "reduced integration" technique is not necessary in the integration of the penalty term on each element. It means that a loss of precision is avoided in this penalty method.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9577.html} }
TY - JOUR T1 - An Analysis of Penalty-Nonconforming Finite Element Method for Stokes Equations AU - Han , Hou-De JO - Journal of Computational Mathematics VL - 2 SP - 164 EP - 172 PY - 1986 DA - 1986/04 SN - 4 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9577.html KW - AB -

In this paper, the penalty-nonconforming finite element method for Stokes equations is considered. An abstract error estimate is given. For Crouzeix-Raviart nonconforming triangular elements, in particular, the analysis shows that the "reduced integration" technique is not necessary in the integration of the penalty term on each element. It means that a loss of precision is avoided in this penalty method.

Han , Hou-De. (1986). An Analysis of Penalty-Nonconforming Finite Element Method for Stokes Equations. Journal of Computational Mathematics. 4 (2). 164-172. doi:
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