Superconductivity

Finite element approximations of an optimal control problem associated with the scalar Ginzburg-Landau equation;
    Comput. Math. Appl. 21, 1991, 123-131; with L. Hou and T. Svobodny.

Analysis and approximation of the Ginzburg-Landau model of superconductivity ;
    SIAM Review 34 1992, 54-81; with Q. Du and J. Peterson.
(Alternative pdf link)

Solving the Ginzburg-Landau equations by finite element methods ;
    Phys. Rev. B 46 1992, 9027-9034; with Q. Du and J. Peterson.
(Alternative pdf link)

Finite element approximation of a periodic Ginzburg-Landau model for type-II superconductors;
    Numer. Math. 64 1993, 85-114; with Q. Du and J. Peterson.

Modeling and analysis of a periodic Ginzburg-Landau model for type-II superconductors ;
    SIAM J. Applied Math. 53 1993, 689-717; with Q. Du and J. Peterson.
(Alternative pdf link)

A model for superconducting thin films having variable thickness;
    Physica D 69 1993, 215-231; with Q. Du.

On the Lawrence-Doniach and anisotropic Ginzburg-Landau models for layered superconductors;
    SIAM J. Appl. Math. 55, 1995, 156-174; with S. Chapman and Q. Du.
(Alternative pdf link

Computational simulation of type-II superconductivity including pinning phenomena ;
    Phys. Rev. B 51 1995, 16194-16203; with Q. Du and J. Peterson.
(Alternative pdf link)

A Ginzburg-Landau type model of superconducting/normal junctions including Josephson junctions;
    Europ. J. Appl. Math. 6 1995, 97-114; with S. Chapman and Q. Du.

Simplified Ginzburg-Landau type models of superconductivity in the high kappa, high field limit;
    Adv. Math. Sciences Appl. 5 1995, 193-218; with S. Chapman, Q. Du, and J. Peterson.

A model for variable thickness superconducting thin films;
    ZAMP 47, 1996, 410-431; with J. Chapman and Q. Du.

Vortices in superconductors: modeling and computer simulations;
    Phil. Trans. Royal Soc. London A 355, 1997, 1957-1968; with J. Deang, Q. Du, and J. Peterson.

Analysis and approximation of optimal control problems for a simplified Ginzburg-Landau model of superconductivity ;
    Numer. Math. 77, 1997, 243-268; with L. Hou and S. Ravindran.
(Alternave pdf link)

Analysis and computation of a mean-field model for superconductivity ;
    Numer. Math. 81, 1999, 539-560; with Q. Du and H.-K. Lee.
(Alternative pdf link)

Stochastic dynamics of Ginzburg-Landau vortices in superconductors ;
    Phys. Rev. B 64 2001, 052506; with J. Deang and Q. Du.
(Alternative pdf link)

Nucleation of superconductivity in finite anisotropic superconductors and the evolution of surface superconductivity toward the bulk mixed state ;
    Phys. Rev. B 65 2002, 094514; with J. Clem, J. Deang, and V. Kogan.
(Alternative pdf link)

Modeling and computation of random thermal fluctuations and material defects in the Ginzburg-Landau model for superconductivity ;
    J. Comput. Phys. 181 2002, 45-67; with J. Deang and Q. Du.
(Alternative pdf link)


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