Error Analysis of Multilevel Fast Multipole Algorithm for Electromagnetic Scattering Problems
Summary :
Error analysis of the multilevel fast multipole algorithm is studied for electromagnetic scattering problems. We propose novel error prediction and control methods and verify that the computational error for scattering problems with over one million unknowns can be precisely controlled under desired digits of accuracy. Optimum selection of truncation numbers to minimize computational error also will be discussed.
- Publication
- IEICE TRANSACTIONS on Electronics Vol.E95-C No.1 pp.71-78
- Publication Date
- 2012/01/01
- Publicized
- Online ISSN
- 1745-1353
- DOI
- 10.1587/transele.E95.C.71
- Type of Manuscript
- Special Section PAPER (Special Section on Recent Progress in Electromagnetic Theory and Its Application)
- Category
- Numerical Techniques
Authors
Keyword
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Seiya KISHIMOTO, Shinichiro OHNUKI, "Error Analysis of Multilevel Fast Multipole Algorithm for Electromagnetic Scattering Problems" in IEICE TRANSACTIONS on Electronics,
vol. E95-C, no. 1, pp. 71-78, January 2012, doi: 10.1587/transele.E95.C.71.
Abstract: Error analysis of the multilevel fast multipole algorithm is studied for electromagnetic scattering problems. We propose novel error prediction and control methods and verify that the computational error for scattering problems with over one million unknowns can be precisely controlled under desired digits of accuracy. Optimum selection of truncation numbers to minimize computational error also will be discussed.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/transele.E95.C.71/_p
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@ARTICLE{e95-c_1_71,
author={Seiya KISHIMOTO, Shinichiro OHNUKI, },
journal={IEICE TRANSACTIONS on Electronics},
title={Error Analysis of Multilevel Fast Multipole Algorithm for Electromagnetic Scattering Problems},
year={2012},
volume={E95-C},
number={1},
pages={71-78},
abstract={Error analysis of the multilevel fast multipole algorithm is studied for electromagnetic scattering problems. We propose novel error prediction and control methods and verify that the computational error for scattering problems with over one million unknowns can be precisely controlled under desired digits of accuracy. Optimum selection of truncation numbers to minimize computational error also will be discussed.},
keywords={},
doi={10.1587/transele.E95.C.71},
ISSN={1745-1353},
month={January},}
Copy
TY - JOUR
TI - Error Analysis of Multilevel Fast Multipole Algorithm for Electromagnetic Scattering Problems
T2 - IEICE TRANSACTIONS on Electronics
SP - 71
EP - 78
AU - Seiya KISHIMOTO
AU - Shinichiro OHNUKI
PY - 2012
DO - 10.1587/transele.E95.C.71
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E95-C
IS - 1
JA - IEICE TRANSACTIONS on Electronics
Y1 - January 2012
AB - Error analysis of the multilevel fast multipole algorithm is studied for electromagnetic scattering problems. We propose novel error prediction and control methods and verify that the computational error for scattering problems with over one million unknowns can be precisely controlled under desired digits of accuracy. Optimum selection of truncation numbers to minimize computational error also will be discussed.
ER -
English
