Abstract
This paper describes triangular surface charge methods (SCM) using fast multipole method (FMM) or tree method (TM) coupled with pseudo-particle method for calculating three-dimensional electric fields. FMM and TM enable us to calculate an N × N matrix and vector product of interacting N bodies by O(N) or O(N log N) times of operations and the same order of memories based on divide-and-conquer algorithm. Application of these techniques to the SCM allows us to utilize a million surface elements on an ordinary personal computer system with 1-GB main memory. The calculated results of a benchmark test and two examples, that is, straight and spiral chains of dielectric spheres in a homogeneous field, show the validity and usefulness of the developed SCMs. © 2003 Wiley Periodicals, Inc. Electr Eng Jpn, 143(2): 11–21, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/eej.10099
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