A Nodal Finite Element Method for a Thermally Coupled Eddy-Current Problem with Moving Conductors

doi:10.4208/cicp.OA-2020-0024

	A Nodal Finite Element Method for a Thermally Coupled Eddy-Current Problem with Moving Conductors
	Wang, Zezhong 1,2; Hu, Qiya 1,2
刊名	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
	2021-03-01
卷号	29 期号:3 页码:767-801
关键词	Thermally coupled eddy-current problem finite element method time step-length iteration Picard iteration optimal error estimates preconditioner
ISSN号	1815-2406
DOI	10.4208/cicp.OA-2020-0024
英文摘要	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.
资助项目	Natural Science Foundation of China[12071469]
WOS研究方向	Physics
语种	英语
出版者	GLOBAL SCIENCE PRESS
WOS记录号	WOS:000614555300005
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/58155]
专题	中国科学院数学与系统科学研究院
通讯作者	Hu, Qiya
作者单位	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
推荐引用方式 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.