Numerical calculation of singularities for Ginzburg-Landau functionals

Abstract

We give results of numerical calculations of asymptotic behavior of critical points of a Ginzburg-Landau functional. We use both continuous and discrete steepest descent in connection with Sobolev gradients in order to study configurations of singularities.

Keywords

• Ginzburg-Landau
• Singularities
• Sobolev gradient