KMS Of Academy of mathematics and systems sciences, CAS
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 |
ISSN | 0885-7474 |
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 |
DOI | 10.1007/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 |
推荐引用方式 GB/T 7714 | 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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