Numerische Mathematik

, Volume 64, Issue 1, pp 85–114 | Cite as

Finite element approximation of a periodic Ginzburg-Landau model for type-II superconductors

  • Qiang Du
  • Max Gunzburger
  • Janet Peterson


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.

Mathematics Subject Classification (1991)

65N30 35J60 


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Copyright information

© Springer-Verlag 1993

Authors and Affiliations

  • Qiang Du
    • 1
  • Max Gunzburger
    • 2
  • Janet Peterson
    • 2
  1. 1.Department of MathematicsMichigan State UniversityEast LansingUSA
  2. 2.Department of MathematicsVirginia TechBlacksburgUSA

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