@Article{AAM-39-4,
author = {Xiang, Li and Pingbing, Ming},
title = {Specht Triangle Approximation of Large Bending Isometries},
journal = {Annals of Applied Mathematics},
year = {2023},
volume = {39},
number = {4},
pages = {544--569},
abstract = {<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>},
issn = {},
doi = {https://doi.org/10.4208/aam.OA-2023-0020},
url = {https://global-sci.com/article/72624/specht-triangle-approximation-of-large-bending-isometries}
}