A broadband stable addition theorem for the two dimensional MLFMA

Author

Bogaert, I. ; Olyslager, F.

Author_Institution

Dept. of Inf. Technol. (INTEC), Ghent Univ., Ghent, Belgium

fYear

2009

fDate

1-5 June 2009

Firstpage

1

Lastpage

4

Abstract

Integral equations arising from the time-harmonic Maxwell equations contain the Green function of the Helmholtz equation as the integration kernel. The structure of this Green function has allowed the development of so-called fast multipole methods (FMMs), i.e. methods for accelerating the matrix-vector products that are required for the iterative solution of integral equations. Arguably the most widely used FMM is the multilevel fast multipole algorithm (MLFMA). It allows the simulation of electrically large structures that are intractable with direct or iterative solvers without acceleration. The practical importance of the MLFMA is made all the more clear by its implementation in various commercial EM software packages such as FEKO and CST Microwave studio.

Keywords

Green´s function methods; Helmholtz equations; Maxwell equations; broadband antennas; integral equations; iterative methods; 2D MLFMA; Green function; Helmholtz equation; broadband stable addition theorem; fast multipole methods; integral equations; integration kernel; iterative solution; iterative solvers; matrix-vector products; multilevel fast multipole algorithm; time-harmonic Maxwell equations; Acceleration; Electric breakdown; Frequency; Green function; Information technology; Integral equations; Iterative methods; Kernel; MLFMA; Maxwell equations;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation Society International Symposium, 2009. APSURSI '09. IEEE

Conference_Location

Charleston, SC

ISSN

1522-3965

Print_ISBN

978-1-4244-3647-7

Type

conf

DOI

10.1109/APS.2009.5171732

Filename

5171732