TY - JOUR
T1 - Finite Element Method Coupling Penalty Method for Flexural Shell Model
AU - Shen , Xiaoqin
AU - Xue , Yongjie
AU - Yang , Qian
AU - Zhu , Shengfeng
JO - Advances in Applied Mathematics and Mechanics
VL - 2
SP - 365
EP - 385
PY - 2022
DA - 2022/01
SN - 14
DO - http://doi.org/10.4208/aamm.OA-2020-0304
UR - https://global-sci.org/intro/article_detail/aamm/20202.html
KW - Flexural shell, conforming finite element method, penalty method, conical shell,
cylindrical shell.
AB - <p style="text-align: justify;">In this paper, we propose a conforming finite element method coupling
penalty method for the linearly elastic flexural shell to overcome computational difficulties. We start with discretizing the displacement variable, i.e., the two tangent
components of the displacement are discretized by using conforming finite elements
(linear element), and the normal component of the displacement is discretized by using conforming Hsieh-Clough-Tocher element (HCT element). Then, the existence,
uniqueness, stability, convergence and a priori error estimate of the corresponding
analyses are proven and analyzed. Finally, we present numerical experiments with a
portion of the conical shell and a portion of the cylindrical shell to verify theoretical
convergence results and demonstrate the effectiveness of the numerical scheme.</p>