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I have no charge grid; it is unnecessary to produce one, so I
don't.
I infer surface charge density by calculating the
normal component of the potential gradient at the surface. A
surface charge is calculated only after the relaxation has
converged sufficiently to make that a reasonable calculation.
This initial condition does not satisfy Laplace's equation.
Conservation of charge is, of course, a requirement in any
physical process, but a relaxation calculation does not in any
way represent a physical process; it is purely a mathematical
exercise
I suggest that it is not a good test for
soundness of procedure and I offer my sound procedure as a
Gegenbeispiel.
It seems to me that, whatever your procedure is,
you build in charge conservation.