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Volume 18, Issue 5
Superconvergence Analysis for Cubic Triangular Element of the Finite Element

Qi-Ding Zhu

J. Comp. Math., 18 (2000), pp. 541-550.

Published online: 2000-10

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  • Abstract

In this paper, we construct a projection interpolation for cubic triangular element by using orthogonal expansion triangular method. We show two fundamental formulas of estimation on a special partion and obtain a superconvergence result of 1-ε order higher for the placement function and its tangential derivative on the third order Lobatto points and Gauss points on each edge of triangular element.

  • Keywords

Finite element, Superconvergence, Projection interpolation.

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COPYRIGHT: © Global Science Press

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@Article{JCM-18-541, author = {Zhu , Qi-Ding}, title = {Superconvergence Analysis for Cubic Triangular Element of the Finite Element}, journal = {Journal of Computational Mathematics}, year = {2000}, volume = {18}, number = {5}, pages = {541--550}, abstract = {

In this paper, we construct a projection interpolation for cubic triangular element by using orthogonal expansion triangular method. We show two fundamental formulas of estimation on a special partion and obtain a superconvergence result of 1-ε order higher for the placement function and its tangential derivative on the third order Lobatto points and Gauss points on each edge of triangular element.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9064.html} }
TY - JOUR T1 - Superconvergence Analysis for Cubic Triangular Element of the Finite Element AU - Zhu , Qi-Ding JO - Journal of Computational Mathematics VL - 5 SP - 541 EP - 550 PY - 2000 DA - 2000/10 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9064.html KW - Finite element, Superconvergence, Projection interpolation. AB -

In this paper, we construct a projection interpolation for cubic triangular element by using orthogonal expansion triangular method. We show two fundamental formulas of estimation on a special partion and obtain a superconvergence result of 1-ε order higher for the placement function and its tangential derivative on the third order Lobatto points and Gauss points on each edge of triangular element.

Qi-Ding Zhu. (1970). Superconvergence Analysis for Cubic Triangular Element of the Finite Element. Journal of Computational Mathematics. 18 (5). 541-550. doi:
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