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Volume 1, Issue 2
Fourteen-Node Mixed Stiffness Element and Its Computational Comparisons with Twenty-Node Isoparametric Element

Tian-Xiao Zhou, Shou-Li Li, Zheng-Wei Wang, Jian-Min Xing & Ping Yang

J. Comp. Math., 1 (1983), pp. 182-194.

Published online: 1983-01

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  • Abstract

In this paper, a family of 3-dimensional elements different from isoparametric serendipity is developed according to the variational principle and the convergence criteria of the mixed stiffness finite element method. For the new family, which is named mixed stiffness elements, the number of nodes on the quadratic element is not 20 but 14. Theoretical analysis and various computational comparisons have found the mixed stiffness element superior over the isoparametric serendipity element, especially a substantial improvement in computational efficiency can be achieved by replacing the 20 node-isoparametric element with the 14-node mixed stiffness element.

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@Article{JCM-1-182, author = {Tian-Xiao Zhou, Shou-Li Li, Zheng-Wei Wang, Jian-Min Xing and Ping Yang}, title = {Fourteen-Node Mixed Stiffness Element and Its Computational Comparisons with Twenty-Node Isoparametric Element}, journal = {Journal of Computational Mathematics}, year = {1983}, volume = {1}, number = {2}, pages = {182--194}, abstract = {

In this paper, a family of 3-dimensional elements different from isoparametric serendipity is developed according to the variational principle and the convergence criteria of the mixed stiffness finite element method. For the new family, which is named mixed stiffness elements, the number of nodes on the quadratic element is not 20 but 14. Theoretical analysis and various computational comparisons have found the mixed stiffness element superior over the isoparametric serendipity element, especially a substantial improvement in computational efficiency can be achieved by replacing the 20 node-isoparametric element with the 14-node mixed stiffness element.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9694.html} }
TY - JOUR T1 - Fourteen-Node Mixed Stiffness Element and Its Computational Comparisons with Twenty-Node Isoparametric Element AU - Tian-Xiao Zhou, Shou-Li Li, Zheng-Wei Wang, Jian-Min Xing & Ping Yang JO - Journal of Computational Mathematics VL - 2 SP - 182 EP - 194 PY - 1983 DA - 1983/01 SN - 1 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9694.html KW - AB -

In this paper, a family of 3-dimensional elements different from isoparametric serendipity is developed according to the variational principle and the convergence criteria of the mixed stiffness finite element method. For the new family, which is named mixed stiffness elements, the number of nodes on the quadratic element is not 20 but 14. Theoretical analysis and various computational comparisons have found the mixed stiffness element superior over the isoparametric serendipity element, especially a substantial improvement in computational efficiency can be achieved by replacing the 20 node-isoparametric element with the 14-node mixed stiffness element.

Tian-Xiao Zhou, Shou-Li Li, Zheng-Wei Wang, Jian-Min Xing and Ping Yang. (1983). Fourteen-Node Mixed Stiffness Element and Its Computational Comparisons with Twenty-Node Isoparametric Element. Journal of Computational Mathematics. 1 (2). 182-194. doi:
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