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 - <p style="text-align: justify;"><span style="font-size: 20px;">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.</span></p>