%0 Journal Article %T Computational simulation of vortex phenomena in superconductors %A John W. Neuberger %A Robert J. Renka %J Electronic Journal of Differential Equations %D 2003 %I Texas State University %X 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. %K Ginzburg-Landau functional %K superconductivity %K Sobolev gradient. %U http://ejde.math.txstate.edu/conf-proc/10/n1/abstr.html