Year: 2020
Author: Hongliang Li, Pingbing Ming, Zhongci Shi
Journal of Computational Mathematics, Vol. 38 (2020), Iss. 1 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1905-m2018-0195
Journal of Computational Mathematics, Vol. 38 (2020), Iss. 1 : pp. 103–124
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Specht triangle Plate bending element Basis functions.