Chien-physics-informed neural networks for solving singularly perturbed boundary-layer problems
文献类型：期刊论文
| 作者 | Wang, Long1,2 ; Zhang, Lei1,2; He, Guowei1,2; He GW(何国威)
|
| 刊名 | APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
 |
| 出版日期 | 2024-09-01 |
| 卷号 | 45期号:9页码:1467-1480 |
| 关键词 | physics-informed neural network (PINN) singular perturbation boundary-layer problem composite asymptotic expansion O302 |
| ISSN号 | 0253-4827 |
| DOI | 10.1007/s10483-024-3149-8 |
| 通讯作者 | Zhang, Lei(zhanglei@imech.ac.cn) |
| 英文摘要 | A physics-informed neural network (PINN) is a powerful tool for solving differential equations in solid and fluid mechanics. However, it suffers from singularly perturbed boundary-layer problems in which there exist sharp changes caused by a small perturbation parameter multiplying the highest-order derivatives. In this paper, we introduce Chien's composite expansion method into PINNs, and propose a novel architecture for the PINNs, namely, the Chien-PINN (C-PINN) method. This novel PINN method is validated by singularly perturbed differential equations, and successfully solves the well-known thin plate bending problems. In particular, no cumbersome matching conditions are needed for the C-PINN method, compared with the previous studies based on matched asymptotic expansions. |
| WOS关键词 | HIGHER APPROXIMATIONS |
| 资助项目 | National Natural Science Foundation of China Basic Science Center Program for Multiscale Problems in Nonlinear Mechanics[11988102] ; National Natural Science Foundation of China[12202451] |
| WOS研究方向 | Mathematics ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:001303646900009 |
| 资助机构 | National Natural Science Foundation of China Basic Science Center Program for Multiscale Problems in Nonlinear Mechanics ; National Natural Science Foundation of China |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/96493]  |
| 专题 | 力学研究所_非线性力学国家重点实验室 |
| 通讯作者 | Zhang, Lei |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, Long,Zhang, Lei,He, Guowei,et al. Chien-physics-informed neural networks for solving singularly perturbed boundary-layer problems[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,2024,45(9):1467-1480. |
| APA | Wang, Long,Zhang, Lei,He, Guowei,&何国威.(2024).Chien-physics-informed neural networks for solving singularly perturbed boundary-layer problems.APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,45(9),1467-1480. |
| MLA | Wang, Long,et al."Chien-physics-informed neural networks for solving singularly perturbed boundary-layer problems".APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION 45.9(2024):1467-1480. |
入库方式： OAI收割
来源：力学研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。