Volume 23, Issue 6
On the Anisotropic Accuracy Analysis of Acm's Nonconforming Finite Element

Dong-Yang Shi, Shi-Peng Mao & Shao-Chun Chen

DOI:

J. Comp. Math., 23 (2005), pp. 635-646

Published online: 2005-12

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  • Abstract

The main aim of this paper is to study the superconvergence accuracy analysis of the famous ACM's nonconforming finite element for biharmonic equation under anisotropic meshes. By using some novel approaches and techniques, the optimal anisotropic interpolation error and consistency error estimates are obtained. The global error is of order $O(h^2)$. Lastly, some numerical tests are presented to verify the theoretical analysis.

  • Keywords

Superconvergence Nonconforming finite element Anisotropic interpolation error Consistency error

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@Article{JCM-23-635, author = {}, title = {On the Anisotropic Accuracy Analysis of Acm's Nonconforming Finite Element}, journal = {Journal of Computational Mathematics}, year = {2005}, volume = {23}, number = {6}, pages = {635--646}, abstract = { The main aim of this paper is to study the superconvergence accuracy analysis of the famous ACM's nonconforming finite element for biharmonic equation under anisotropic meshes. By using some novel approaches and techniques, the optimal anisotropic interpolation error and consistency error estimates are obtained. The global error is of order $O(h^2)$. Lastly, some numerical tests are presented to verify the theoretical analysis. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8843.html} }
TY - JOUR T1 - On the Anisotropic Accuracy Analysis of Acm's Nonconforming Finite Element JO - Journal of Computational Mathematics VL - 6 SP - 635 EP - 646 PY - 2005 DA - 2005/12 SN - 23 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8843.html KW - Superconvergence KW - Nonconforming finite element KW - Anisotropic interpolation error KW - Consistency error AB - The main aim of this paper is to study the superconvergence accuracy analysis of the famous ACM's nonconforming finite element for biharmonic equation under anisotropic meshes. By using some novel approaches and techniques, the optimal anisotropic interpolation error and consistency error estimates are obtained. The global error is of order $O(h^2)$. Lastly, some numerical tests are presented to verify the theoretical analysis.
Dong-Yang Shi, Shi-Peng Mao & Shao-Chun Chen. (1970). On the Anisotropic Accuracy Analysis of Acm's Nonconforming Finite Element. Journal of Computational Mathematics. 23 (6). 635-646. doi:
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