Solutions of large-scale electromagnetics problems involving dielectric objects with the parallel multilevel fast multipole algorithm

O. Ergul

Research output: Contribution to journalArticle

  • 25 Citations

Abstract

Fast and accurate solutions of large-scale electromagnetics problems involving homogeneous dielectric objects are considered. Problems are formulated with the electric and magnetic current combined-field integral equation and discretized with the Rao-Wilton-Glisson functions. Solutions are performed iteratively by using the multi-level fast multipole algorithm (MLFMA). For the solution of large-scale problems discretized with millions of unknowns, MLFMA is parallelized on distributed-memory architectures using a rigorous technique, namely, the hierarchical partitioning strategy. Efficiency and accuracy of the developed implementation are demonstrated on very large problems involving as many as 100 million unknowns.
LanguageEnglish
Pages2261-2268
Number of pages8
JournalJournal of the Optical Society of America A
Volume28
Issue number11
DOIs
StatePublished - Nov 2011

Fingerprint

multipoles
electromagnetism
distributed memory
Memory architecture
electric current
Integral equations
integral equations

Keywords

  • strategy
  • scattering
  • MLFMA
  • unknowns
  • millions
  • field integral-equation
  • solutions
  • large-scale
  • electromagnetics problems
  • dielectric objects
  • parallel
  • multilevel fast multipole algorithm

Cite this

@article{16d89ddb1acd4063b7606e0f33850de1,
title = "Solutions of large-scale electromagnetics problems involving dielectric objects with the parallel multilevel fast multipole algorithm",
abstract = "Fast and accurate solutions of large-scale electromagnetics problems involving homogeneous dielectric objects are considered. Problems are formulated with the electric and magnetic current combined-field integral equation and discretized with the Rao-Wilton-Glisson functions. Solutions are performed iteratively by using the multi-level fast multipole algorithm (MLFMA). For the solution of large-scale problems discretized with millions of unknowns, MLFMA is parallelized on distributed-memory architectures using a rigorous technique, namely, the hierarchical partitioning strategy. Efficiency and accuracy of the developed implementation are demonstrated on very large problems involving as many as 100 million unknowns.",
keywords = "strategy, scattering, MLFMA, unknowns, millions, field integral-equation, solutions, large-scale , electromagnetics problems , dielectric objects , parallel , multilevel fast multipole algorithm",
author = "O. Ergul",
year = "2011",
month = "11",
doi = "10.1364/JOSAA.28.002261",
language = "English",
volume = "28",
pages = "2261--2268",
journal = "Journal of the Optical Society of America A",
issn = "1084-7529",
publisher = "Optical Society of America",
number = "11",

}

TY - JOUR

T1 - Solutions of large-scale electromagnetics problems involving dielectric objects with the parallel multilevel fast multipole algorithm

AU - Ergul,O.

PY - 2011/11

Y1 - 2011/11

N2 - Fast and accurate solutions of large-scale electromagnetics problems involving homogeneous dielectric objects are considered. Problems are formulated with the electric and magnetic current combined-field integral equation and discretized with the Rao-Wilton-Glisson functions. Solutions are performed iteratively by using the multi-level fast multipole algorithm (MLFMA). For the solution of large-scale problems discretized with millions of unknowns, MLFMA is parallelized on distributed-memory architectures using a rigorous technique, namely, the hierarchical partitioning strategy. Efficiency and accuracy of the developed implementation are demonstrated on very large problems involving as many as 100 million unknowns.

AB - Fast and accurate solutions of large-scale electromagnetics problems involving homogeneous dielectric objects are considered. Problems are formulated with the electric and magnetic current combined-field integral equation and discretized with the Rao-Wilton-Glisson functions. Solutions are performed iteratively by using the multi-level fast multipole algorithm (MLFMA). For the solution of large-scale problems discretized with millions of unknowns, MLFMA is parallelized on distributed-memory architectures using a rigorous technique, namely, the hierarchical partitioning strategy. Efficiency and accuracy of the developed implementation are demonstrated on very large problems involving as many as 100 million unknowns.

KW - strategy

KW - scattering

KW - MLFMA

KW - unknowns

KW - millions

KW - field integral-equation

KW - solutions

KW - large-scale

KW - electromagnetics problems

KW - dielectric objects

KW - parallel

KW - multilevel fast multipole algorithm

UR - http://www.scopus.com/inward/record.url?scp=80155138653&partnerID=8YFLogxK

U2 - 10.1364/JOSAA.28.002261

DO - 10.1364/JOSAA.28.002261

M3 - Article

VL - 28

SP - 2261

EP - 2268

JO - Journal of the Optical Society of America A

T2 - Journal of the Optical Society of America A

JF - Journal of the Optical Society of America A

SN - 1084-7529

IS - 11

ER -