Jw. Neuberger et Rj. Renka, SOBOLEV GRADIENTS AND THE GINZBURG-LANDAU FUNCTIONAL, SIAM journal on scientific computing (Print), 20(2), 1999, pp. 582-590
We describe a Sobolev gradient method for finding minima of the Ginzbu
rg-Landau functional for superconductivity. This method leads to a par
ticularly simple algorithm which avoids consideration of the nonlinear
boundary conditions associated with the Ginzburg-Landau equations.