Abstract
AbstractThis 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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