DocumentCode :
125752
Title :
Stabilization of the fast multipole method for low frequencies using multiple-precision arithmetic
Author :
Karaosmanoglu, Bariscan ; Ergul, Ozgur
Author_Institution :
Dept. Electr. & Electron. Eng., Middle East Tech. Univ., Ankara, Turkey
fYear :
2014
fDate :
16-23 Aug. 2014
Firstpage :
1
Lastpage :
4
Abstract :
We stabilize a conventional implementation of the fast multipole method (FMM) for low frequencies using multiple-precision arithmetic (MPA). We show that using MPA is a direct remedy for low-frequency breakdowns of the standard diagonalization, which is prone to numerical errors at short distances with respect to wavelength. By increasing the precision, rounding errors are suppressed until a desired level of accuracy is obtained with plane-wave expansions. As opposed to other approaches in the literature, using MPA does not require reimplementations of solvers, and it directly extends the applicability of FMM and similar methods to low-frequency problems, as well as multi-scale problems, that require globally or locally dense discretizations for accurate analysis.
Keywords :
electric breakdown; electric field integral equations; magnetic field integral equations; FMM; MPA; fast multipole method; low-frequency breakdowns; multiple-precision arithmetic; numerical errors; plane-wave expansions; short distances; stabilization; standard diagonalization; Accuracy; Antennas; Broadband communication; Green´s function methods; MLFMA; Optimized production technology; Standards;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
General Assembly and Scientific Symposium (URSI GASS), 2014 XXXIth URSI
Conference_Location :
Beijing
Type :
conf
DOI :
10.1109/URSIGASS.2014.6929117
Filename :
6929117
Link To Document :
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