TY - JOUR
T1 - Specht Triangle Approximation of Large Bending Isometries
AU - Li , Xiang
AU - Ming , Pingbing
JO - Annals of Applied Mathematics
VL - 4
SP - 544
EP - 569
PY - 2023
DA - 2023/11
SN - 39
DO - http://doi.org/10.4208/aam.OA-2023-0020
UR - https://global-sci.org/intro/article_detail/aam/22085.html
KW - Specht triangle, plate bending, isometry constraint, adaptive time-stepping
gradient flow.
AB - <p style="text-align: justify;">We propose a Specht triangle discretization for a geometrically nonlinear Kirchhoff plate model with large bending isometry. A combination of
an adaptive time-stepping gradient flow and a Newton’s method is employed to
solve the ensuing nonlinear minimization problem. $\Gamma$−convergence of the Specht
triangle discretization and the unconditional stability of the gradient flow algorithm are proved. We present several numerical examples to demonstrate that
our approach significantly enhances both the computational efficiency and accuracy.</p>