Solution of Extremely Large Integral-Equation Problems

Author

Ergül, Ö ; Malas, T. ; Gürel, L.

Author_Institution

Bilkent Univ., Ankara

fYear

2007

fDate

17-21 Sept. 2007

Firstpage

970

Lastpage

973

Abstract

We report the solution of extremely large integral-equation problems involving electromagnetic scattering from conducting bodies. By orchestrating diverse activities, such as the multilevel fast multipole algorithm, iterative methods, preconditioning techniques, and parallelization, we are able to solve scattering problems that are discretized with tens of millions of unknowns. Specifically, we report the solution of a closed geometry containing 42 million unknowns and an open geometry containing 20 million unknowns, which are the largest problems of their classes, to the best of our knowledge.

Keywords

conducting bodies; electromagnetic wave scattering; integral equations; iterative methods; conducting bodies; electromagnetic scattering; extremely large integral-equation problems; iterative method; multilevel fast multipole algorithm; parallelization; preconditioning techniques; Concurrent computing; Electromagnetic scattering; Geometry; Integral equations; Iterative algorithms; MLFMA; Partitioning algorithms; Sampling methods; Switches; Tree data structures;

fLanguage

English

Publisher

ieee

Conference_Titel

Electromagnetics in Advanced Applications, 2007. ICEAA 2007. International Conference on

Conference_Location

Torino

Print_ISBN

978-1-4244-0767-5

Electronic_ISBN

978-1-4244-0767-5

Type

conf

DOI

10.1109/ICEAA.2007.4387468

Filename

4387468