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An upwinding mixed finite element method for a mean field model of superconducting vortices
Chen, ZM; Du, Q
2000-05-01
Source PublicationESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN0764-583X
Volume34Issue:3Pages:687-706
AbstractIn this paper, we construct a combined upwinding and mixed finite element method for the numerical solution of a two-dimensional mean field model of superconducting vortices. An advantage of our method is that it works for any unstructured regular triangulation. A simple convergence analysis is given without resorting to the discrete maximum principle. Numerical examples are also presented. Mathematics Subject Classification. 65N99, 82D55.
Keywordmean field model superconductivity vortices mixed finite element unstructured grid convergence analysis
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000087866500009
PublisherE D P SCIENCES
Citation statistics
Cited Times:6[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/15380
Collection中国科学院数学与系统科学研究院
Affiliation1.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
2.Hong Kong Univ Sci & Technol, Dept Math, Hong Kong, Hong Kong, Peoples R China
3.Iowa State Univ Sci & Technol, Dept Math, Ames, IA 50011 USA
Recommended Citation
GB/T 7714
Chen, ZM,Du, Q. An upwinding mixed finite element method for a mean field model of superconducting vortices[J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,2000,34(3):687-706.
APA Chen, ZM,&Du, Q.(2000).An upwinding mixed finite element method for a mean field model of superconducting vortices.ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,34(3),687-706.
MLA Chen, ZM,et al."An upwinding mixed finite element method for a mean field model of superconducting vortices".ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 34.3(2000):687-706.
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