Application of fast multipole method to finite-element boundary-integral solution of scattering problems

Ninglong Lu; Jian Ming Jin

doi:10.1109/8.509880

Application of fast multipole method to finite-element boundary-integral solution of scattering problems

Research output: Contribution to journal › Article › peer-review

Abstract

The finite-element boundary-integral method is a powerful technique for dealing with scattering and radiation problems involving complex geometries and inhomogeneous media. The capability of the technique is limited mainly by the full matrix generated by the discretization of the boundary integrals involving the Green's function. In this paper, this limitation is lifted using the fast multipole method, which evaluates the boundary integrals at a reduced complexity. The resulting new technique is applied to the problem of electromagnetic scattering by cavity-backed apertures and microstrip antennas. Numerical results are presented to demonstrate its validity and capability.

Original language	English (US)
Pages (from-to)	781-786
Number of pages	6
Journal	IEEE Transactions on Antennas and Propagation
Volume	44
Issue number	6 PART 1
DOIs	https://doi.org/10.1109/8.509880
State	Published - 1996

ASJC Scopus subject areas

Electrical and Electronic Engineering

Online availability

10.1109/8.509880

Library availability

Discover UIUC Full Text

Cite this

@article{f319b2ab02994664a6d95d939c98be30,

title = "Application of fast multipole method to finite-element boundary-integral solution of scattering problems",

abstract = "The finite-element boundary-integral method is a powerful technique for dealing with scattering and radiation problems involving complex geometries and inhomogeneous media. The capability of the technique is limited mainly by the full matrix generated by the discretization of the boundary integrals involving the Green's function. In this paper, this limitation is lifted using the fast multipole method, which evaluates the boundary integrals at a reduced complexity. The resulting new technique is applied to the problem of electromagnetic scattering by cavity-backed apertures and microstrip antennas. Numerical results are presented to demonstrate its validity and capability.",

author = "Ninglong Lu and Jin, {Jian Ming}",

note = "Funding Information: hospitals: Beth Israel, Newton-Wellesley, Mount Auburn, and Massachusetts General Hospitals, Boston; Memorial Sloan-Kettering Medical Center, New York, and Lennox Hill Hospitals, New York; University of Pennsylvania, Hahnemann, Lankenau, Medical College of Pennsylvania, Montgomery, Pennsylvania, Presbyterian, and Thomas Jefferson Hospitals, Philadelphia; and Johns Hopkins Hospital, Baltimore. Supported by contracts 223-76-3016, 223-80-3001, and 226-82-0007 and cooperative agreements UOI FD01222 and FD-U-000082 from the Food and Drug Administration and by grant 5 R37 CA45762 from the National Cancer Institute.",

year = "1996",

doi = "10.1109/8.509880",

language = "English (US)",

volume = "44",

pages = "781--786",

journal = "IEEE Transactions on Antennas and Propagation",

issn = "0018-926X",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "6 PART 1",

}

TY - JOUR

T1 - Application of fast multipole method to finite-element boundary-integral solution of scattering problems

AU - Lu, Ninglong

AU - Jin, Jian Ming

N1 - Funding Information: hospitals: Beth Israel, Newton-Wellesley, Mount Auburn, and Massachusetts General Hospitals, Boston; Memorial Sloan-Kettering Medical Center, New York, and Lennox Hill Hospitals, New York; University of Pennsylvania, Hahnemann, Lankenau, Medical College of Pennsylvania, Montgomery, Pennsylvania, Presbyterian, and Thomas Jefferson Hospitals, Philadelphia; and Johns Hopkins Hospital, Baltimore. Supported by contracts 223-76-3016, 223-80-3001, and 226-82-0007 and cooperative agreements UOI FD01222 and FD-U-000082 from the Food and Drug Administration and by grant 5 R37 CA45762 from the National Cancer Institute.

PY - 1996

Y1 - 1996

N2 - The finite-element boundary-integral method is a powerful technique for dealing with scattering and radiation problems involving complex geometries and inhomogeneous media. The capability of the technique is limited mainly by the full matrix generated by the discretization of the boundary integrals involving the Green's function. In this paper, this limitation is lifted using the fast multipole method, which evaluates the boundary integrals at a reduced complexity. The resulting new technique is applied to the problem of electromagnetic scattering by cavity-backed apertures and microstrip antennas. Numerical results are presented to demonstrate its validity and capability.

AB - The finite-element boundary-integral method is a powerful technique for dealing with scattering and radiation problems involving complex geometries and inhomogeneous media. The capability of the technique is limited mainly by the full matrix generated by the discretization of the boundary integrals involving the Green's function. In this paper, this limitation is lifted using the fast multipole method, which evaluates the boundary integrals at a reduced complexity. The resulting new technique is applied to the problem of electromagnetic scattering by cavity-backed apertures and microstrip antennas. Numerical results are presented to demonstrate its validity and capability.

UR - http://www.scopus.com/inward/record.url?scp=0000850245&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000850245&partnerID=8YFLogxK

U2 - 10.1109/8.509880

DO - 10.1109/8.509880

M3 - Article

AN - SCOPUS:0000850245

SN - 0018-926X

VL - 44

SP - 781

EP - 786

JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

IS - 6 PART 1

ER -

Application of fast multipole method to finite-element boundary-integral solution of scattering problems

Abstract

ASJC Scopus subject areas

Online availability

Library availability

Related links

Fingerprint

Cite this