TY - JOUR
T1 - An Isoparametric Finite Element Method for Reissner-Mindlin Plate Problem on Curved Domain
AU - Liu , Zhixin
AU - Song , Minghui
AU - Song , Shicang
JO - Advances in Applied Mathematics and Mechanics
VL - 3
SP - 715
EP - 737
PY - 2024
DA - 2024/02
SN - 16
DO - http://doi.org/10.4208/aamm.OA-2022-0206
UR - https://global-sci.org/intro/article_detail/aamm/22935.html
KW - Reissner-Mindlin plate problem, isoparametric finite element, numerical quadrature, curved domain.
AB - <p style="text-align: justify;">In this paper, we present an application of the isoparametric finite element
for the Reissner-Mindlin plate problem on bounded domain with curved boundary.
The discrete scheme is established by isoparametric quadratic triangular finite element
combined with a numerical quadrature. Under the certain numerical quadrature, we
prove the existence and uniqueness of the numerical solutions and the error estimates
of optimal order in $H^1$-norm are given in details with the help of rigorous analysis.
Finally, a numerical example is provided to verify the theoretical results.</p>