Acta Applicandae Mathematicae

, Volume 115, Issue 1, pp 63–74

Magnetic Flux Lines in Complex Geometry Type-II Superconductors Studied by the Time Dependent Ginzburg-Landau Equation

  • Tommy Sonne Alstrøm
  • Mads Peter Sørensen
  • Niels Falsig Pedersen
  • Søren Madsen


The time-dependent Ginzburg-Landau equation is solved numerically for type-II superconductors of complex geometry using the finite element method. The geometry has a marked influence on the magnetic vortex distribution and the vortex dynamics. We have observed generation of giant vortices at boundary defects, suppressing the superconducting state far into the superconductor.


Type II superconductivity Ginzburg-Landau equation Vortex lattices Giant vortices 


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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  • Tommy Sonne Alstrøm
    • 1
  • Mads Peter Sørensen
    • 2
  • Niels Falsig Pedersen
    • 2
  • Søren Madsen
    • 3
  1. 1.Department of InformaticsTechnical University of DenmarkKongens LyngbyDenmark
  2. 2.Department of MathematicsTechnical University of DenmarkKongens LyngbyDenmark
  3. 3.Mads Clausen InstituteUniversity of Southern DenmarkSønderborgDenmark

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