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Volumn 35, Issue 5, 1998, Pages 1740-1761

An alternating Crank-Nicolson method for decoupling the Ginzburg-Landau equations

Author keywords

Convergence; Crank Nicolson Galerkin method; Error analysis; Stability; Superconductivity; Time dependent ginzburg Landau model

Indexed keywords


EID: 0000209008     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142996303092     Document Type: Article
Times cited : (66)

References (18)
  • 1
    • 84974325009 scopus 로고
    • Domain decomposition algorithms
    • T. CHAN AND T.P. MATHEW, Domain decomposition algorithms, Acta Numer., (1994), pp. 61-143.
    • (1994) Acta Numer. , pp. 61-143
    • Chan, T.1    Mathew, T.P.2
  • 3
    • 0040770644 scopus 로고
    • Numerical studies of a non-stationary ginzburg-landau model for superconductivity
    • Z. CHEN AND K.H. HOFFMANN, Numerical studies of a non-stationary Ginzburg-Landau model for superconductivity, Adv. Math. Sci. Appl., 5 (1995), pp. 363-389.
    • (1995) Adv. Math. Sci. Appl. , vol.5 , pp. 363-389
    • Chen, Z.1    Hoffmann, K.H.2
  • 4
    • 0039387709 scopus 로고
    • ∞-convergence of linear finite element approximation to nonlinear parabolic problems
    • ∞-convergence of linear finite element approximation to nonlinear parabolic problems, SIAM J. Numer. Anal., 17 (1980), pp. 663-674.
    • (1980) SIAM J. Numer. Anal. , vol.17 , pp. 663-674
    • Dobrowolski, M.1
  • 5
    • 38149146246 scopus 로고
    • Finite element methods for the time-dependent Ginzburg-Landau model of superconductivity
    • Q. DU, Finite element methods for the time-dependent Ginzburg-Landau model of superconductivity, Comput. Math. Appl., 27 (1994), pp. 119-133.
    • (1994) Comput. Math. Appl. , vol.27 , pp. 119-133
    • Du, Q.1
  • 6
    • 84947888974 scopus 로고
    • Global existence and uniqueness of solutions of the time-dependent Ginzburg-Landau model for superconductivity
    • Q. DU, Global existence and uniqueness of solutions of the time-dependent Ginzburg-Landau model for superconductivity, Appl. Anal., 53 (1994), pp. 1-17.
    • (1994) Appl. Anal. , vol.53 , pp. 1-17
    • Du, Q.1
  • 7
    • 0030217132 scopus 로고    scopus 로고
    • High-kappa limits of the time-dependent Ginzburg-Landau model
    • Q. DU AND P. GRAY, High-kappa limits of the time-dependent Ginzburg-Landau model, SIAM J. Appl. Math., 56 (1996), pp. 1060-1093.
    • (1996) SIAM J. Appl. Math. , vol.56 , pp. 1060-1093
    • Du, Q.1    Gray, P.2
  • 8
    • 0026838281 scopus 로고
    • Analysis and approximation of the GL model of superconductivity
    • Q. DU, M. GUNZBURGER, AND J. PETERSON, Analysis and approximation of the GL model of superconductivity, SIAM Rev., 34 (1992), pp. 54-81.
    • (1992) SIAM Rev , vol.34 , pp. 54-81
    • Du, Q.1    Gunzburger, M.2    Peterson, J.3
  • 10
    • 0038992234 scopus 로고
    • Computer simulation of a two-dimensional type-II superconductor in a magnetic field
    • Y. ENOMOTO AND R. KATO, Computer simulation of a two-dimensional type-II superconductor in a magnetic field, J. Phys.: Condes. Matter, 3 (1991), pp. 375-380.
    • (1991) J. Phys.: Condes. Matter , vol.3 , pp. 375-380
    • Enomoto, Y.1    Kato, R.2
  • 11
    • 0000602029 scopus 로고
    • Flux dynamics and the growth of the superconducting phase
    • H. FRAHM, S. ULLAH, AND A.T. DORSEY, Flux dynamics and the growth of the superconducting phase, Phys. Rev. Lett., 66 (1991), pp. 3067-3070.
    • (1991) Phys. Rev. Lett. , vol.66 , pp. 3067-3070
    • Frahm, H.1    Ullah, S.2    Dorsey, A.T.3
  • 13
    • 84932604144 scopus 로고
    • Vortex motion and resistivity of type-II superconductors in a magnetic field
    • L. GOR'KOV AND N. KOPNIN, Vortex motion and resistivity of type-II superconductors in a magnetic field, Soviet Phys.-Usp, 18 (1976), pp. 496-513.
    • (1976) Soviet Phys.-Usp , vol.18 , pp. 496-513
    • Gor'kov, L.1    Kopnin, N.2
  • 15
    • 0001456959 scopus 로고
    • Kinetics of the superconducting transition
    • F. LIU, M. MONDELLO, AND N. GOLDENFELD, Kinetics of the superconducting transition, Phys. Rev. Lett., 66 (1991), pp. 3071-3074.
    • (1991) Phys. Rev. Lett. , vol.66 , pp. 3071-3074
    • Liu, F.1    Mondello, M.2    Goldenfeld, N.3
  • 17
    • 0031173541 scopus 로고    scopus 로고
    • A linearized Crank-Nicolson-Galerkin method for the Ginzberg-Landau model
    • M. MU, A linearized Crank-Nicolson-Galerkin method for the Ginzberg-Landau model, SIAM J. Sci. Comput., 18 (1997), pp. 1028-1039.
    • (1997) SIAM J. Sci. Comput. , vol.18 , pp. 1028-1039
    • Mu, M.1
  • 18
    • 85033908063 scopus 로고    scopus 로고
    • Schwarz algorithms for degenerate parabolic problems
    • submitted
    • M. MU AND Y. HUANG, Schwarz algorithms for degenerate parabolic problems, SIAM J. Numer. Anal., submitted.
    • SIAM J. Numer. Anal.
    • Mu, M.1    Huang, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.