Relaxation algorithm in description of superconducting structures

Abstract: Relaxation method is described on simple superconducting cases in one and two dimensions in Ginzburg-Landau (GL) formalism. The structure of the algorithm is given for the case time independent and time dependent GL equation. The advantages and disadvantages of the algorithm are specified. Particular cases solved by the relaxation algorithm is unconventional Josephson junction (uJJ), modified uJJ, SQUID built on the base of uJJ and superconduting current limiter. The artifacts of relaxation algorithm are described.