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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Eng Teo Ong Heow Pueh Lee Kian Meng Lim |
| Copyright Year | 1982 |
| Abstract | A fast algorithm, called the fast Fourier transform on multipoles (FFTM) method, is developed for efficient solution of the integral equation in the boundary element method (BEM). This method employs the multipole and local expansions to approximate far field potentials, and uses the fast Fourier transform (FFT) to accelerate the multipole to local translation operator based on its convolution nature. The series of uncoupled convolutions allows further speed up in the algorithm through parallel computation. In this paper, we present the results of using the FFTM algorithm for solving large-scale three-dimensional electrostatic problems. It is demonstrated that the method can give accurate results with relatively low order of expansion. It is also found that the serial version of the algorithm has computational complexities of O(N/sup a/), where a ranges from 1.0 to 1.4 for computational time, and from 1.1 to 1.2 for memory storage requirement. Significant speedup is also observed in the parallel implementation of FFTM using up to 16 processors on an IBM-p690 supercomputer. |
| Sponsorship | IEEE Council on Electronic Design Automation IEEE Circuits and Systems Society |
| Starting Page | 1063 |
| Ending Page | 1072 |
| Page Count | 10 |
| File Size | 574196 |
| File Format | |
| ISSN | 02780070 |
| Volume Number | 23 |
| Issue Number | 7 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2004-07-01 |
| Publisher Place | U.S.A. |
| Access Restriction | One Nation One Subscription (ONOS) |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Fast Fourier transforms Electrostatic analysis Convolution Integral equations Boundary element methods Acceleration Concurrent computing Large-scale systems Computational complexity Supercomputers |
| Content Type | Text |
| Resource Type | Article |
| Subject | Computer Graphics and Computer-Aided Design Electrical and Electronic Engineering Software |
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