An efficient iterative method for dynamical Ginzburg-Landau equations

In this paper, we propose a new finite element approach to simulate the time-dependent Ginzburg-Landau equations under temporal gauge, and design an efficient preconditioner for Newton iteration of resulting discrete system. The solves magnetic potential in H(curl) space by lowest order second kind Nédélec element. This offers simple way deal with boundary condition, leads stable reliable performance when dealing superconductor reentrant corners. comparison numerical simulations verifies efficiency proposed preconditioner, which can significantly speed up simulation large-scale computations.