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.