@ARTICLE\{IMM2010-05949, author = "T. S. Alstr{\o}m and M. S{\o}rensen and N. Pedersen and S. Madsen", title = "Magnetic Flux Lines in Complex Geometry Type{-II} Superconductors Studied by the Time Dependent Ginzburg-Landau Equation", year = "2010", month = "aug", keywords = "Type {II} superconductivity, Ginzburg-Landau equation, Vortex lattices, Giant vortices", journal = "Acta Applicandae Mathematicae", volume = "", editor = "", number = "", publisher = "Springer Netherlands", url = "http://dx.doi.org/10.1007/s10440-010-9580-8", abstract = "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.", isbn_issn = "0167-8019" }