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CONVERGENCE OF THE HIPTMAIR-XU PRECONDITIONER FOR MAXWELL'S EQUATIONS WITH JUMP COEFFICIENTS (I): EXTENSIONS OF THE REGULAR DECOMPOSITION

文献类型：期刊论文

作者Hu, Qiya1,2
刊名SIAM JOURNAL ON NUMERICAL ANALYSIS
出版日期2021
卷号59期号:5页码:2500-2535
关键词Maxwell's equations regular decomposition stability Nedelec elements
ISSN号0036-1429
DOI10.1137/20M1320365
英文摘要This paper is the first in a series of two articles, aiming to prove the convergence of the HX preconditioner originally proposed by Hiptmair and Xu [SIAM T. Numer. Anal., 45 (2007), pp. 2483-2509] for Maxwell's equations with jump coefficients. In this paper, we establish several extensions of the discrete regular decomposition for edge finite element functions defined in three-dimensional domains. The functions defined by the new discrete regular decompositions can inherit zero degrees of freedom of the considered edge finite element function on some faces and edges of polyhedral domains as well as of some non-Lipschitz domains and possess nearly optimal stability with only a logarithmic factor.
资助项目National Natural Science Foundation of China[G12071469]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000752750400008
出版者SIAM PUBLICATIONS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/59998]  
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		 Hu, Qiya. CONVERGENCE OF THE HIPTMAIR-XU PRECONDITIONER FOR MAXWELL'S EQUATIONS WITH JUMP COEFFICIENTS (I): EXTENSIONS OF THE REGULAR DECOMPOSITION[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2021,59(5):2500-2535.
APA Hu, Qiya.(2021).CONVERGENCE OF THE HIPTMAIR-XU PRECONDITIONER FOR MAXWELL'S EQUATIONS WITH JUMP COEFFICIENTS (I): EXTENSIONS OF THE REGULAR DECOMPOSITION.SIAM JOURNAL ON NUMERICAL ANALYSIS,59(5),2500-2535.
MLA Hu, Qiya."CONVERGENCE OF THE HIPTMAIR-XU PRECONDITIONER FOR MAXWELL'S EQUATIONS WITH JUMP COEFFICIENTS (I): EXTENSIONS OF THE REGULAR DECOMPOSITION".SIAM JOURNAL ON NUMERICAL ANALYSIS 59.5(2021):2500-2535.

入库方式： OAI收割

来源：数学与系统科学研究院

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