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  • 45G10  (1)
  • 65N30  (1)
  • Springer  (2)
  • 1990-1994  (2)
  • 1993  (2)
  • 1
    Electronic Resource
    Electronic Resource
    The critical temperature and gap solution in the Bardeen-Cooper-Schrieffer theory of superconductivity (1993)
    Springer
    Letters in mathematical physics 29 (1993), S. 133-150 
    Details
    ISSN: 1573-0530
    Keywords: 82B26 ; 83D55 ; 45G10 ; 45L
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The Letter studies the problem of numerical approximations of the critical transition temperature and the energy gap function in the Bardeen-Cooper-Schrieffer equation arising in superconductivity theory. The positive kernel function leads to a phonon-dominant state at zero temperature. Much attention is paid to the equation defined on a bounded region. Two discretized versions of the equation are introduced. The first version approximates the desired solution from below, while the second, from above. Numerical examples are presented to illustrate the efficiency of the method. Besides, the approximations of a full space solution and the associated critical temperature by solution sequences constructed on bounded domains are also investigated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00749729
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  • 2
    Electronic Resource
    Electronic Resource
    Finite element approximation of a periodic Ginzburg-Landau model for type-II superconductors (1993)
    Springer
    Numerische Mathematik 64 (1993), S. 85-114 
    Details
    ISSN: 0945-3245
    Keywords: 65N30 ; 35J60
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary We consider efficient finite element algorithms for the computational simulation of type-II superconductors. The algorithms are based on discretizations of a periodic Ginzburg-Landau model. Periodicity is defined with respect to a non-orthogonal lattice that is not necessarily aligned with the coordinate axes; also, the primary dependent variables employed in the model satisfy non-standard “quasi”-periodic boundary conditions. After introducing the model, we define finite element schemes, derive error estimates of optimal order, and present the results of some numerical calculations. For a similar quality of simulation, the resulting algorithms seem to be significantly less costly than are previously used numerical approximation methods.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01388682
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    Paper (German National Licenses)
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