The Ginzburg-Landau (GL) equations of superconductivity provide a computational model for the study of magnetic flux vortices in type-II superconductors. In this article we show through numerical examples and rigorous mathematical analysis that the GL model reduces to the frozen-field model when the charge of the Cooper pairs (the superconducting charage carriers) goes to zero while the applied field stays near the upper critical field.

%B J. Eng. Math. %P 221-240 %8 07/2000 %G eng %1 http://www.mcs.anl.gov/papers/P835.ps.Z