Accelerated gradient flows for large bending deformations of nonlinear plates
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915347209125888 |
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| author | Dong, Guozhi Guo, Hailong Yang, Shuo |
| author_facet | Dong, Guozhi Guo, Hailong Yang, Shuo |
| contents | In this paper, we propose novel algorithms integrated projection-free techniques with 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. The proposed algorithms exhibit substantial improvements in efficiency and accuracy compared to the current state-of-the-art methods based on gradient flows. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_12152 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Accelerated gradient flows for large bending deformations of nonlinear plates Dong, Guozhi Guo, Hailong Yang, Shuo Numerical Analysis 65N12, 65K10, 74K20, 35Q90 In this paper, we propose novel algorithms integrated projection-free techniques with 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. The proposed algorithms exhibit substantial improvements in efficiency and accuracy compared to the current state-of-the-art methods based on gradient flows. |
| title | Accelerated gradient flows for large bending deformations of nonlinear plates |
| topic | Numerical Analysis 65N12, 65K10, 74K20, 35Q90 |
| url | https://arxiv.org/abs/2402.12152 |