In the paper a generalization of the Global Element Method developed in [3] for elliptic boundary value problems to complex Helmholtz is regarded. The method in this case relies upon minimization of two functionals apart with respect to real and imaginary parts. The structure of the resulting system of simultaneous linear equations has also been considered. As numerical examples two simple models have been analysed: a model of the square conductive core placed in the uniform alternating magnetic field, a model of the slot of an asynchronous machine.