Abstract
We focus on the truncation error of the multipole expansion for the multilevel fast multipole algorithm and investigate the condition to minimize it. When the buffer size is small compared to the machine precision, the conventional selection rules do not hold, and the new approach which we have recently proposed is needed. However, this method is still not sufficient to minimize the error for small buffer cases. We will show that the information about the placement of true worst-case interaction is needed.
| Original language | English (US) |
|---|---|
| Pages | 65-70 |
| Number of pages | 6 |
| State | Published - Dec 1 2003 |
| Event | 19th Annual Review of Progress in Applied Computational Electromagnetics - Monterey, CA, United States Duration: Mar 24 2003 → Mar 28 2003 |
Other
| Other | 19th Annual Review of Progress in Applied Computational Electromagnetics |
|---|---|
| Country | United States |
| City | Monterey, CA |
| Period | 3/24/03 → 3/28/03 |
Keywords
- Error Analysis
- Error Minimization
- Multilevel Fast Multipole Algorithm
ASJC Scopus subject areas
- Electrical and Electronic Engineering
Cite this
Ohnuki, S., & Chew, W. C. (2003). Error Convergence Process of the Multipole Expansion. 65-70. Paper presented at 19th Annual Review of Progress in Applied Computational Electromagnetics, Monterey, CA, United States.