Article ID Journal Published Year Pages File Type
522639 Journal of Computational Physics 2007 19 Pages PDF
Abstract

In this paper, we propose a novel method to extend the fast multipole method (FMM) to calculate the electrostatic potential due to charges inside or outside a dielectric sphere. The key result which allows such an extension is the construction of a small number (two for a 10−2 relative error in reaction potentials inside the sphere) of image point charges for source point charges inside or outside the dielectric sphere. Numerical results validate the accuracy and high efficiency of the resulting algorithm.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science Applications
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