Abstract
The authors present a 'correction' method to match electrostatic boundary conditions for the Poisson equation in the presence of unscreened interior point charges. This method is applicable to any general electrostatic boundary conditions, is independent of the geometry of the boundaries, and is well suited to numerical computation. It is based on correcting the changes in boundary values caused by the presence of the point charges. Thus, the corrected boundary conditions include not only the effects of all exterior charges, but also the effects of the interior point charges.
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