Acta Applicandae Mathematicae

, Volume 115, Issue 1, pp 63-74

First online:

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

  • Tommy Sonne AlstrømAffiliated withDepartment of Informatics, Technical University of Denmark
  • , Mads Peter SørensenAffiliated withDepartment of Mathematics, Technical University of Denmark Email author 
  • , Niels Falsig PedersenAffiliated withDepartment of Mathematics, Technical University of Denmark
  • , Søren MadsenAffiliated withMads Clausen Institute, University of Southern Denmark

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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