The Quadratic Specht Triangle

Authors

  • Hongliang Li Department of Mathematics, Sichuan Normal University, Chengdu 610066, China
  • Pingbing Ming LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, AMSS, Chinese Academy of Sciences, Beijing, 100190, China
  • Zhongci Shi LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China

DOI:

https://doi.org/10.4208/jcm.1905-m2018-0195

Keywords:

Specht triangle, Plate bending element, Basis functions.

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.

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Published

2020-02-06

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Issue

Vol. 38 No. 1 (2020)

Section

Articles

How to Cite

The Quadratic Specht Triangle. (2020). Journal of Computational Mathematics, 38(1), 103-124. https://doi.org/10.4208/jcm.1905-m2018-0195