| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 521041 | Journal of Computational Physics | 2006 | 26 Pages |
Abstract
We describe a wideband version of the Fast Multipole Method for the Helmholtz equation in three dimensions. It unifies previously existing versions of the FMM for high and low frequencies into an algorithm which is accurate and efficient for any frequency, having a CPU time of O(N) if low-frequency computations dominate, or O(N log N) if high-frequency computations dominate. The performance of the algorithm is illustrated with numerical examples.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Hongwei Cheng, William Y. Crutchfield, Zydrunas Gimbutas, Leslie F. Greengard, J. Frank Ethridge, Jingfang Huang, Vladimir Rokhlin, Norman Yarvin, Junsheng Zhao,