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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
发表期刊ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN0764-583X
卷号34期号:3页码:687-706
摘要In 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.
关键词mean field model superconductivity vortices mixed finite element unstructured grid convergence analysis
语种英语
WOS研究方向Mathematics
WOS类目Mathematics, Applied
WOS记录号WOS:000087866500009
出版者E D P SCIENCES
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/15380
专题中国科学院数学与系统科学研究院
通讯作者Chen, ZM
作者单位1.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
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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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