Sobolev Gradients and the Ginzburg--Landau Functional
J. W. Neuberger, Robert J. Renka · SIAM Journal on Scientific Computing · 1998
We describe a Sobolev gradient method for finding minima of the Ginzburg--Landau functional for superconductivity. This method leads to a particularly simple algorithm which avoids consideration of the nonlinear boundary conditions associated with the Ginzburg--Landau equations.