full
search.png

Search

close.png

Cancel

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

Shi-Peng Mao & Shao-Chun Chen

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

Published online: 2006-04

Preview Full PDF 2280 23772

Cited by

google scholar semantic scholar
Export citation
  • 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.

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JCM-24-169, author = {Shi-Peng Mao and Shao-Chun Chen}, 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 AU - Shi-Peng Mao & Shao-Chun Chen 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, Interpolation error, Consistency error, 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 and Shao-Chun Chen. (2006). Convergence Analysis of Morley Element on Anisotropic Meshes. Journal of Computational Mathematics. 24 (2). 169-180. doi:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard