Low-Frequency Fast Multipole Method Based on Multiple-Precision Arithmetic

Author

Ergul, Ozgur ; Karaosmanoglu, Bariscan

Author_Institution

Dept. of Electr. & Electron. Eng., Middle East Tech. Univ., Ankara, Turkey

Volume

13

fYear

2014

fDate

2014

Firstpage

975

Lastpage

978

Abstract

We present a low-frequency fast multipole method for the solution of three-dimensional electromagnetic problems involving small objects and their dense discretizations with respect to wavelength. The diagonalization of the Green´s function is stabilized using a multiple-precision arithmetic (MPA) for accurate and efficient computations of subwavelength interactions. MPA provides a direct remedy for the low-frequency breakdown of the standard diagonalization based on plane waves, and it enables straightforward implementations for low-frequency problems.

Keywords

Green´s function methods; arithmetic; computational electromagnetics; electromagnetic wave scattering; Green´s function diagonalization; MPA; low-frequency breakdown; low-frequency fast multipole method; multiple-precision arithmetic; plane waves; subwavelength interactions; three-dimensional electromagnetic problems; Antennas; Electric breakdown; Green´s function methods; MLFMA; Method of moments; Optimized production technology; Standards; Diagonalization; fast multipole method; low-frequency breakdown; multiple-precision arithmetic;

fLanguage

English

Journal_Title

Antennas and Wireless Propagation Letters, IEEE

Publisher

ieee

ISSN

1536-1225

Type

jour

DOI

10.1109/LAWP.2014.2323211

Filename

6814852