Volume 21, Issue 3
A Combined Hybrid Finite Element Method for Plate Bending Problems

Tian-xiao Zhou & Xiao-ping Xie

DOI:

J. Comp. Math., 21 (2003), pp. 347-356

Published online: 2003-06

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  • Abstract

In this paper, a combined hybrid method is applied to finite element discretization of plate bending problems. It is shown that the resultant schemes are stabilized, i.e., the convergence of the schemes is independent of inf-sup conditions and any other patch test. Based on this, two new series of plate elements are proposed.

  • Keywords

Combined hybrid finite element Weakly compatible

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COPYRIGHT: © Global Science Press

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@Article{JCM-21-347, author = {Tian-xiao Zhou and Xiao-ping Xie}, title = {A Combined Hybrid Finite Element Method for Plate Bending Problems}, journal = {Journal of Computational Mathematics}, year = {2003}, volume = {21}, number = {3}, pages = {347--356}, abstract = { In this paper, a combined hybrid method is applied to finite element discretization of plate bending problems. It is shown that the resultant schemes are stabilized, i.e., the convergence of the schemes is independent of inf-sup conditions and any other patch test. Based on this, two new series of plate elements are proposed. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10263.html} }
TY - JOUR T1 - A Combined Hybrid Finite Element Method for Plate Bending Problems AU - Tian-xiao Zhou & Xiao-ping Xie JO - Journal of Computational Mathematics VL - 3 SP - 347 EP - 356 PY - 2003 DA - 2003/06 SN - 21 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10263.html KW - Combined hybrid finite element KW - Weakly compatible AB - In this paper, a combined hybrid method is applied to finite element discretization of plate bending problems. It is shown that the resultant schemes are stabilized, i.e., the convergence of the schemes is independent of inf-sup conditions and any other patch test. Based on this, two new series of plate elements are proposed.
Tian-xiao Zhou & Xiao-ping Xie. (1970). A Combined Hybrid Finite Element Method for Plate Bending Problems. Journal of Computational Mathematics. 21 (3). 347-356. doi:
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