TY - JOUR
T1 - Full Discretization Scheme for the Dynamics of Elliptic Membrane Shell Model
AU - Shen , Xiaoqin
AU - Yang , Qian
AU - Bai , Lin
AU - Li , Kaitai
JO - Communications in Computational Physics
VL - 1
SP - 186
EP - 210
PY - 2020
DA - 2020/11
SN - 29
DO - http://doi.org/10.4208/cicp.OA-2019-0215
UR - https://global-sci.org/intro/article_detail/cicp/18427.html
KW - Elliptic membrane shell, finite element method, full discretization, ellipsoidal shell,
spherical shell.
AB - <p style="text-align: justify;">In this study, the dynamics of elliptic membrane shell model has been proposed and discussed numerically for the first time. Firstly, we show that the solution of
this model exists and is unique. Secondly, we consider spatial and time discretizations
of the time-dependent elliptic membrane shell by finite element method and Newmark scheme, respectively. Then, the corresponding existence, uniqueness, stability,
convergence and a priori error estimate are given. Finally, we present numerical results involving a portion of an ellipsoidal shell and a portion of a spherical shell to
verify the efficiency and convergence of the numerical scheme.</p>