Electronic Journal of Differential Equations,
Conf. 10 (2002), pp. 241-250.

Title: Computational simulation of vortex phenomena in superconductors

Authors: John W. Neuberger (Univ. of North Texas, Denton, TX, USA)
Robert J. Renka (Univ. of North Texas, Denton, TX, USA)
 
Abstract: 
 We have developed a numerical method for approximating critical
 points of the Ginzburg-Landau functional.  We briefly describe the
 capabilities of our codes and present some test results for the
 two-dimensional case in the form of plots of electron densities and
 magnetic fields.  Our results demonstrate that vortices can be pinned
 to small holes corresponding to normal (non-superconducting) regions.

Published February 28, 2003.
Math Subject Classifications: 35J50, 64K10, 81V99.
Key Words: Ginzburg-Landau functional; superconductivity; Sobolev gradient.