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MIXED SCHEMES FOR QUAD-CURL EQUATIONS
Zhang, Shuo
2018-05-04
Source PublicationESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN0764-583X
Volume52Issue:1Pages:147-161
AbstractIn this paper, mixed schemes are presented for two variants of quad-curl equations. Specifically, stable equivalent mixed formulations for the model problems are presented, which can be discretized by finite elements of low regularity and of low degree. The regularities of the mixed formulations and thus equivalently the primal formulations are established, and some finite elements examples are given which can exploit the regularity of the solutions to an optimal extent.
KeywordQuad-curl equation mixed scheme regularity analysis finite element method
DOI10.1051/m2an/2018005
Language英语
Funding ProjectNational Natural Science Foundation of China[11471026] ; National Centre for Mathematics and Interdisciplinary Sciences ; Chinese Academy of Sciences
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000431902000002
PublisherEDP SCIENCES S A
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30168
Collection计算数学与科学工程计算研究所
AffiliationChinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Zhang, Shuo. MIXED SCHEMES FOR QUAD-CURL EQUATIONS[J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,2018,52(1):147-161.
APA Zhang, Shuo.(2018).MIXED SCHEMES FOR QUAD-CURL EQUATIONS.ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,52(1),147-161.
MLA Zhang, Shuo."MIXED SCHEMES FOR QUAD-CURL EQUATIONS".ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 52.1(2018):147-161.
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