Year: 2023
Author: Xiang Li, Pingbing Ming
Annals of Applied Mathematics, Vol. 39 (2023), Iss. 4 : pp. 544–569
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aam.OA-2023-0020
Annals of Applied Mathematics, Vol. 39 (2023), Iss. 4 : pp. 544–569
Published online: 2023-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 26
Keywords: Specht triangle plate bending isometry constraint adaptive time-stepping gradient flow.