The initial-boundary value problem for the time-dependent Ginzburg-Landau equations that model the macroscopic behavior of superconductors is considered. The convergence of finite-dimensional, semidiscrete Galerkin approximations is studied as is a fully-discrete scheme. The results of some computational experiments are presented. © 1994.
Du, Q. (1994). Finite element methods for the time-dependent Ginzburg-Landau model of superconductivity. Computers and Mathematics with Applications, 27(12), 119–133. https://doi.org/10.1016/0898-1221(94)90091-4