The use of the Finite Element Method in terms of the magnetic vector p
otential and electric scalar potential has been previously reported. T
he need for a suitable gauge has been stressed to ensure unique soluti
on, and the Lorentz gauge has been shown to be attractive since it dec
ouples the magnetic vector and electric scalar potentials. The present
paper shows how absorbing boundary conditions can easily be included
in this method, retaining symmetry in the equations, and thus allowing
solutions to problems in which energy radiates away from the solution
domain.