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AN ADAPTIVE FINITE ELEMENT METHOD FOR THE EDDY CURRENT MODEL WITH CIRCUIT/FIELD COUPLINGS
Chen, Junqing1; Chen, Zhiming2; Cui, Tao2; Zhang, Lin-Bo2
2010
Source PublicationSIAM JOURNAL ON SCIENTIFIC COMPUTING
ISSN1064-8275
Volume32Issue:2Pages:1020-1042
AbstractWe develop an adaptive finite element method for solving the eddy current model with voltage excitations for complicated three-dimensional structures. The mathematical model is based on the A - phi formulation whose well-posedness is established. We derive the a posteriori error estimate for the finite element approximation of the model whose solution is not unique in the nonconducting region. Numerical experiments that illustrate the competitive behavior of the proposed method are provided.
Keywordeddy current circuit/field coupling adaptivity a posteriori error analysis parallel hierarchical grid package
DOI10.1137/080713112
Language英语
Funding ProjectChina NSF[10428105] ; China NSF[10531080] ; National Basic Research Project[2005CB321701] ; National Basic Research Project[2005CB321702]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000277837100025
PublisherSIAM PUBLICATIONS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/10404
Collection计算数学与科学工程计算研究所
Corresponding AuthorChen, Junqing
Affiliation1.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Chen, Junqing,Chen, Zhiming,Cui, Tao,et al. AN ADAPTIVE FINITE ELEMENT METHOD FOR THE EDDY CURRENT MODEL WITH CIRCUIT/FIELD COUPLINGS[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2010,32(2):1020-1042.
APA Chen, Junqing,Chen, Zhiming,Cui, Tao,&Zhang, Lin-Bo.(2010).AN ADAPTIVE FINITE ELEMENT METHOD FOR THE EDDY CURRENT MODEL WITH CIRCUIT/FIELD COUPLINGS.SIAM JOURNAL ON SCIENTIFIC COMPUTING,32(2),1020-1042.
MLA Chen, Junqing,et al."AN ADAPTIVE FINITE ELEMENT METHOD FOR THE EDDY CURRENT MODEL WITH CIRCUIT/FIELD COUPLINGS".SIAM JOURNAL ON SCIENTIFIC COMPUTING 32.2(2010):1020-1042.
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