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Volume 38, Issue 1
The Quadratic Specht Triangle

Hongliang Li, Pingbing Ming & Zhongci Shi

DOI: 10.4208/jcm.1905-m2018-0195

J. Comp. Math., 38 (2020), pp. 103-124.

Published online: 2020-02

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  • Abstract

We propose a class of 12 degrees of freedom triangular plate bending elements with quadratic rate of convergence. They may be viewed as the second order Specht triangle, while the Specht triangle is one of the best first order plate bending elements. The convergence result is proved under minimal smoothness assumption on the solution. Numerical results for both the smooth solution and nonsmooth solution confirm the theoretical prediction.

  • Keywords

Specht triangle, Plate bending element, Basis functions.

  • AMS Subject Headings

65N38, 65N30

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

lihongliang@lsec.cc.ac.cn (Hongliang Li)

mpb@lsec.cc.ac.cn (Pingbing Ming)

shi@lsec.cc.ac.cn (Zhongci Shi)

  • BibTex
  • RIS
  • TXT
@Article{JCM-38-103, author = {Li , HongliangMing , Pingbing and Shi , Zhongci}, title = {The Quadratic Specht Triangle}, journal = {Journal of Computational Mathematics}, year = {2020}, volume = {38}, number = {1}, pages = {103--124}, abstract = {

We propose a class of 12 degrees of freedom triangular plate bending elements with quadratic rate of convergence. They may be viewed as the second order Specht triangle, while the Specht triangle is one of the best first order plate bending elements. The convergence result is proved under minimal smoothness assumption on the solution. Numerical results for both the smooth solution and nonsmooth solution confirm the theoretical prediction.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1905-m2018-0195}, url = {http://global-sci.org/intro/article_detail/jcm/13687.html} }
TY - JOUR T1 - The Quadratic Specht Triangle AU - Li , Hongliang AU - Ming , Pingbing AU - Shi , Zhongci JO - Journal of Computational Mathematics VL - 1 SP - 103 EP - 124 PY - 2020 DA - 2020/02 SN - 38 DO - http://doi.org/10.4208/jcm.1905-m2018-0195 UR - https://global-sci.org/intro/article_detail/jcm/13687.html KW - Specht triangle, Plate bending element, Basis functions. AB -

We propose a class of 12 degrees of freedom triangular plate bending elements with quadratic rate of convergence. They may be viewed as the second order Specht triangle, while the Specht triangle is one of the best first order plate bending elements. The convergence result is proved under minimal smoothness assumption on the solution. Numerical results for both the smooth solution and nonsmooth solution confirm the theoretical prediction.

Li , HongliangMing , Pingbing and Shi , Zhongci. (2020). The Quadratic Specht Triangle. Journal of Computational Mathematics. 38 (1). 103-124. doi:10.4208/jcm.1905-m2018-0195
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