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Modelling and numerical solutions of a gauge periodic time dependent ginzburg-landau model for type-II superconductors
Chen, ZM
1997-10-01
Source PublicationJOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN0254-9409
Volume15Issue:4Pages:365-384
AbstractIn this paper we seek the solutions of the time dependent Ginzburg-Landau model for type-II superconductors such that the associated physical observables are spatially periodic with respect to some lattice whose basic lattice cell is not necessarily rectangular. After appropriately fixing the gauge, the model can be formulated as a system of nonlinear parabolic partial differential equations with quasi-periodic boundary conditions. We first give Some results concerning the existence, uniqueness and regularity of solutions and then we propose a semiimplicit finite element scheme solving the system of nonlinear partial differential equations and show the optimal error estimates both in the L-2 and energy norm. We also report on some numerical results at the end of the paper.
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:A1997YC18600007
PublisherVSP BV
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/29067
Collection中国科学院数学与系统科学研究院
AffiliationCHINESE ACAD SCI,INST MATH,BEIJING,PEOPLES R CHINA
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GB/T 7714
Chen, ZM. Modelling and numerical solutions of a gauge periodic time dependent ginzburg-landau model for type-II superconductors[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,1997,15(4):365-384.
APA Chen, ZM.(1997).Modelling and numerical solutions of a gauge periodic time dependent ginzburg-landau model for type-II superconductors.JOURNAL OF COMPUTATIONAL MATHEMATICS,15(4),365-384.
MLA Chen, ZM."Modelling and numerical solutions of a gauge periodic time dependent ginzburg-landau model for type-II superconductors".JOURNAL OF COMPUTATIONAL MATHEMATICS 15.4(1997):365-384.
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