KMS Of Academy of mathematics and systems sciences, CAS
| A Nodal Finite Element Method for a Thermally Coupled Eddy-Current Problem with Moving Conductors | |
| Wang, Zezhong1,2; Hu, Qiya1,2 | |
| 2021-03-01 | |
| Source Publication | COMMUNICATIONS IN COMPUTATIONAL PHYSICS
 |
| ISSN | 1815-2406 |
| Volume | 29Issue:3Pages:767-801 |
| Abstract | This paper aims to design and analyze a solution method for a time dependent, nonlinear and thermally coupled eddy-current problem with a moving conductor on hyper-velocity. We transform the problem into an equivalent coupled system and use the nodal finite element discretization (in space) and the implicit Euler method (in time) for the coupled system. The resulting discrete coupled system is decoupled and implicitly solved by a time step-length iteration method and the Picard iteration. We numerically and theoretically prove that the finite element approximations have the optimal error estimates and both the two iteration methods possess the linear convergence. For the proposed method, numerical stability and accuracy of the approximations can be held even for coarser mesh partitions and larger time steps. We also construct a preconditioner for the discrete operator defined by the linearized bilinear form and show that this preconditioner is uniformly effective. Numerical experiments are done to confirm the theoretical results and illustrate that the proposed method is well behaved in large-scale numerical simulations. |
| Keyword | Thermally coupled eddy-current problem finite element method time step-length iteration Picard iteration optimal error estimates preconditioner |
| DOI | 10.4208/cicp.OA-2020-0024 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | Natural Science Foundation of China[12071469] |
| WOS Research Area | Physics |
| WOS Subject | Physics, Mathematical |
| WOS ID | WOS:000614555300005 |
| Publisher | GLOBAL SCIENCE PRESS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/58156 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Hu, Qiya |
| Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| Recommended Citation GB/T 7714 | Wang, Zezhong,Hu, Qiya. A Nodal Finite Element Method for a Thermally Coupled Eddy-Current Problem with Moving Conductors[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2021,29(3):767-801. |
| APA | Wang, Zezhong,&Hu, Qiya.(2021).A Nodal Finite Element Method for a Thermally Coupled Eddy-Current Problem with Moving Conductors.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,29(3),767-801. |
| MLA | Wang, Zezhong,et al."A Nodal Finite Element Method for a Thermally Coupled Eddy-Current Problem with Moving Conductors".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 29.3(2021):767-801. |
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