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
    • Department of InformaticsTechnical University of Denmark
    • Department of MathematicsTechnical University of Denmark
  • Niels Falsig Pedersen
    • Department of MathematicsTechnical University of Denmark
  • Søren Madsen
    • Mads Clausen InstituteUniversity of Southern Denmark

DOI: 10.1007/s10440-010-9580-8

Cite this article as:
Alstrøm, T.S., Sørensen, M.P., Pedersen, N.F. et al. Acta Appl Math (2011) 115: 63. doi:10.1007/s10440-010-9580-8


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 superconductivityGinzburg-Landau equationVortex latticesGiant vortices

Copyright information

© Springer Science+Business Media B.V. 2010