Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
522639 | Journal of Computational Physics | 2007 | 19 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Wei Cai, Shaozhong Deng, Donald Jacobs,