Variational principles for Ginzburg–Landau equation by He’s semi-inverse method

Via the semi-inverse method of establishing variational principles proposed by He, a generalized variational principle is established for Ginzburg–Landau equation. The present theory provides a quite straightforward tool to the search for various variational principles for physical problems. This paper aims at providing a more complete theoretical basis for applications using finite element and other direct variational methods.