Volume 24, Issue 2
Convergence Analysis of Morley Element on Anisotropic Meshes

Shi-Peng Mao & Shao-Chun Chen

DOI:

J. Comp. Math., 24 (2006), pp. 169-180.

Published online: 2006-04

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  • Abstract

The main aim of this paper is to study the convergence of a nonconforming triangular plate element-Morley element under anisotropic meshes. By a novel approach, an explicit bound for the interpolation error is derived for arbitrary triangular meshes (which even need not satisfy the maximal angle condition and the coordinate system condition ), the optimal consistency error is obtained for a family of anisotropically graded finite element meshes.

  • Keywords

Anisotropic meshes Interpolation error Consistency error Morley element

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@Article{JCM-24-169, author = {}, title = {Convergence Analysis of Morley Element on Anisotropic Meshes}, journal = {Journal of Computational Mathematics}, year = {2006}, volume = {24}, number = {2}, pages = {169--180}, abstract = { The main aim of this paper is to study the convergence of a nonconforming triangular plate element-Morley element under anisotropic meshes. By a novel approach, an explicit bound for the interpolation error is derived for arbitrary triangular meshes (which even need not satisfy the maximal angle condition and the coordinate system condition ), the optimal consistency error is obtained for a family of anisotropically graded finite element meshes. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8743.html} }
TY - JOUR T1 - Convergence Analysis of Morley Element on Anisotropic Meshes JO - Journal of Computational Mathematics VL - 2 SP - 169 EP - 180 PY - 2006 DA - 2006/04 SN - 24 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8743.html KW - Anisotropic meshes KW - Interpolation error KW - Consistency error KW - Morley element AB - The main aim of this paper is to study the convergence of a nonconforming triangular plate element-Morley element under anisotropic meshes. By a novel approach, an explicit bound for the interpolation error is derived for arbitrary triangular meshes (which even need not satisfy the maximal angle condition and the coordinate system condition ), the optimal consistency error is obtained for a family of anisotropically graded finite element meshes.
Shi-Peng Mao & Shao-Chun Chen. (1970). Convergence Analysis of Morley Element on Anisotropic Meshes. Journal of Computational Mathematics. 24 (2). 169-180. doi:
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