期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 223, 期 2, 页码 846-864出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2006.10.019
关键词
fast multipole method; image charge; dielectric sphere
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. (C) 2006 Elsevier Inc. All rights reserved.
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