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THE QUADRATIC SPECHT TRIANGLE |
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| Authors: | Hongliang Li Pingbing Ming & Zhongci Shi |
| Affiliation: | Department of Mathematics, Sichuan Normal University, Chengdu 610066, China;The State Key Laboratory of Scientific and Engineering Computing,Academy of Mathematics and Systems Science, Chinese Academy of Sciences,No.55, East Road ZhongGuanCun, Beijing 100190, China;School of Mathematical Sciences, University of Chinese Academy of Sciences,Beijing 100049, China |
| 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. |
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