On some bounds for the solutions of the semi-discretized time-dependent Ginzburg-Landau equations

Turkish Journal of Mathematics

Volumn 21, Issue SUPPL., 1997, Pages 25-44

  Coşkun, Erhan ^a  

^a KARADENIZ TECHNICAL UNIVERSITY   (Turkey)

Author keywords

Ginzburg Landau Model; Natural boundary conditions; Semi discrete Approximation; Superconductivity

Indexed keywords

EID: 53349154211     PISSN: 13000098     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. Chan, C.Y., Kwong, M.K.: Proceedings of the Organised Session "Nonlinear Problems in Superconductivity", First World Congress of Nonlinear Analysists , MCS-P371-0793, preprint, Argonne National Laboratory, Argonne, Il.
2. Cos + Ńkun, E.: Numerical Analysis of Ginzburg-Landau Models for Superconductivity, Ph.D. Dissertation, 1994, Northern Illinois University, Dekalb, Il.
3. Cos + Ńkun E., Kwong, M.K: Parallel Solution of the Time-Dependent Ginzburg-Landau Equations and other Experiences using BlockComm-Chameleon and PCN on IBM SP1, Intel iPSC 860, and Clusters of Workstations, ANL95/49, Argonne, Il.
4. Co + Ńskun, E., Kwong, M.K: Simulating Vortex Motion with the Time-dependent Ginzburg-Landau Equations, submitted to J. of Nonlinearity.
5. Du, Q.: Global Existence and Uniqueness of the Solutions of the Time-dependent Ginzburg-Landau Model for Superconductivity, J. Applicable Analysis 53(1994), No1-2, 1-17.
6. Du, Q., Ginzburger, M.D., and Peterson, J.S: Analysis and Approximations of the Ginzburg-Landau Model of Superconductivity, SIAM Review 34(1992), 45-81.
7. Du, Q., Ginzburger, M.D., and Peterson, J.S.: Modelling and Analysis of a Periodic Ginzburg-Landau Model for Type II Superconductors, SIAM J. Applied Math.53,3 (1993), 689-717.
8. Kwong, M.K., Kaper, H.: Vortex Configurations in Type-II Superconducting Films, J. Computational Physics 119 (1995), 120-131.