Successive Over-Relaxation (SOR)

In order to to numerically solve Poisson's equation (Equation #eqnpoisson#113>), it is necessary to notice that its steady state solution is the same as that for diffusion, and can be solved by iteration of the 3D successive over-relaxation equation for a field without free charge:

#equation114#

Where #tex2html_wrap_inline1290# is a relaxation rate not to exceed 2, and is best determined empirically.