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An Adaptive FEM for a Maxwell Interface Problem
Duan, Huoyuan1; Qiu, Fengjuan2; Tan, Roger C. E.3; Zheng, Weiying4
2016-05-01
发表期刊JOURNAL OF SCIENTIFIC COMPUTING
ISSN0885-7474
卷号67期号:2页码:669-704
摘要This paper develops an adaptive edge finite element method for a Maxwell interface problem: where is allowed to degenerate to zero. A residual-based a posteriori error estimator is analyzed, with -uniform lower and (global and local) upper error bounds. -uniform convergence and optimality of the adaptive algorithm are also established. Numerical results are also presented.
关键词Edge element method A posteriori error estimate Optimality Maxwell's equations Interface problem
DOI10.1007/s10915-015-0098-0
语种英语
资助项目National Natural Science Foundation of China[11071132] ; National Natural Science Foundation of China[11171168] ; National Natural Science Foundation of China[91430106] ; National Natural Science Foundation of China[11571266] ; National Natural Science Foundation of China[11171334] ; National Natural Science Foundation of China[91430215] ; Research Fund for the Doctoral Program of Higher Education of China[20100031110002] ; Research Fund for the Doctoral Program of Higher Education of China[20120031110026] ; Scientific Research Foundation for Returned Scholars, Ministry of Education of China ; Wuhan University from the Fundamental Research Funds for the Central Universities[2042014kf0218] ; Funds for Creative Research Groups of China[11321061] ; National 863 Project of China[2012AA01A309] ; National Magnetic Confinement Fusion Science Program[2015GB110003]
WOS研究方向Mathematics
WOS类目Mathematics, Applied
WOS记录号WOS:000374414500012
出版者SPRINGER/PLENUM PUBLISHERS
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/22617
专题计算数学与科学工程计算研究所
通讯作者Zheng, Weiying
作者单位1.Wuhan Univ, Sch Math & Stat, Collaborat Innovat Ctr Math, Computat Sci Hubei Key Lab, Wuhan 430072, Peoples R China
2.Bank China, Beijing 100190, Peoples R China
3.Natl Univ Singapore, Dept Math, 2 Sci Dr 2, Singapore 117543, Singapore
4.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, NCMIS,ICMSEC, Beijing 100190, Peoples R China
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Duan, Huoyuan,Qiu, Fengjuan,Tan, Roger C. E.,et al. An Adaptive FEM for a Maxwell Interface Problem[J]. JOURNAL OF SCIENTIFIC COMPUTING,2016,67(2):669-704.
APA Duan, Huoyuan,Qiu, Fengjuan,Tan, Roger C. E.,&Zheng, Weiying.(2016).An Adaptive FEM for a Maxwell Interface Problem.JOURNAL OF SCIENTIFIC COMPUTING,67(2),669-704.
MLA Duan, Huoyuan,et al."An Adaptive FEM for a Maxwell Interface Problem".JOURNAL OF SCIENTIFIC COMPUTING 67.2(2016):669-704.
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