Accelerated gradient flows for large bending deformations of nonlinear plates
<|reference_start|>Accelerated gradient flows for large bending deformations of nonlinear plates: In this paper, we propose and analyze a series of novel algorithms based on projection-free accelerated gradient flows to minimize bending energies for nonlinear plates with non-convex metric constraints. We discuss the stability and constraint consistency in a semi-discrete setting for both bilayer and prestrained plates. Our proposed algorithms demonstrate substantial improvements, in both efficiency and accuracy, over current state-of-the-art methods based on gradient flows.<|reference_end|>
@article{dong2024accelerated,
    title={Accelerated gradient flows for large bending deformations of nonlinear
  plates},
    author={Guozhi Dong, Hailong Guo, Shuo Yang},
    journal={arXiv preprint arXiv:2402.12152},
    year={2024},
    archivePrefix={arXiv},
    eprint={2402.12152},
    primaryClass={math.NA cs.NA}
}