A Monte Carlo method for the Dirichlet problem of dielectric wedges

摘要

The Monte Carlo method considered can be used to numerically compute electrostatic potentials inside a closed surface where: (a) the potential on the surface is known, and (b) the dielectric constant inside the surface changes only on boundaries. A modification is proposed to previously used Monte Carlo methods to overcome problems presented by dielectric wedges. In addition it is shown how it can be easily determined whether or not a point is inside given domain. The connection between this topological problem and the Monte Carlo technique is explained.