Fast solution methods in electromagnetics

Weng Cho Chew; Jian Ming Jin; Cai Cheng Lu; Eric Michielssen; Jiming M. Song Ieee

doi:10.1109/8.558669

Fast solution methods in electromagnetics

Weng Cho Chew, Jian Ming Jin, Cai Cheng Lu, Eric Michielssen, Jiming M. Song Ieee

Electrical and Computer Engineering

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

256 Scopus citations

Abstract

Various methods for efficiently solving electromagnetic problems are presented. Electromagnetic scattering problems can be roughly classified into surface and volume problems, while fast methods are either differential or integral equation based. The resultant systems of linear equations are either solved directly or iteratively. A review of various differential equation solvers, their complexities, and memory requirements is given. The issues of grid dispersion and hybridization with integral equation solvers are discussed. Several fast integral equation solvers for surface and volume scatterers are presented. These solvers have reduced computational complexities and memory requirements.

Original language	English
Pages (from-to)	533-543
Number of pages	11
Journal	IEEE Transactions on Antennas and Propagation
Volume	45
Issue number	3
DOIs	https://doi.org/10.1109/8.558669
State	Published - 1997

Bibliographical note

Funding Information:
Manuscript received April 4, 1996; revised September 30, 1996. This work was supported in part by AFOSR under Grant F49620-96-1-0025, as well as by from ONR and NSF. The authors are with the Center for Computational Electromagnetics, Department of Electrical and Computer Engineering, University of Illinois, Urbana, IL 61801 USA. Publisher Item Identifier S 0018-926X(97)02302-8.

Keywords

Numerical methods

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/8.558669

Cite this

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title = "Fast solution methods in electromagnetics",

abstract = "Various methods for efficiently solving electromagnetic problems are presented. Electromagnetic scattering problems can be roughly classified into surface and volume problems, while fast methods are either differential or integral equation based. The resultant systems of linear equations are either solved directly or iteratively. A review of various differential equation solvers, their complexities, and memory requirements is given. The issues of grid dispersion and hybridization with integral equation solvers are discussed. Several fast integral equation solvers for surface and volume scatterers are presented. These solvers have reduced computational complexities and memory requirements.",

keywords = "Numerical methods",

author = "Chew, {Weng Cho} and Jin, {Jian Ming} and Lu, {Cai Cheng} and Eric Michielssen and {Song Ieee}, {Jiming M.}",

note = "Funding Information: Manuscript received April 4, 1996; revised September 30, 1996. This work was supported in part by AFOSR under Grant F49620-96-1-0025, as well as by from ONR and NSF. The authors are with the Center for Computational Electromagnetics, Department of Electrical and Computer Engineering, University of Illinois, Urbana, IL 61801 USA. Publisher Item Identifier S 0018-926X(97)02302-8.",

year = "1997",

doi = "10.1109/8.558669",

language = "English",

volume = "45",

pages = "533--543",

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T1 - Fast solution methods in electromagnetics

AU - Chew, Weng Cho

AU - Jin, Jian Ming

AU - Lu, Cai Cheng

AU - Michielssen, Eric

AU - Song Ieee, Jiming M.

N1 - Funding Information: Manuscript received April 4, 1996; revised September 30, 1996. This work was supported in part by AFOSR under Grant F49620-96-1-0025, as well as by from ONR and NSF. The authors are with the Center for Computational Electromagnetics, Department of Electrical and Computer Engineering, University of Illinois, Urbana, IL 61801 USA. Publisher Item Identifier S 0018-926X(97)02302-8.

PY - 1997

Y1 - 1997

N2 - Various methods for efficiently solving electromagnetic problems are presented. Electromagnetic scattering problems can be roughly classified into surface and volume problems, while fast methods are either differential or integral equation based. The resultant systems of linear equations are either solved directly or iteratively. A review of various differential equation solvers, their complexities, and memory requirements is given. The issues of grid dispersion and hybridization with integral equation solvers are discussed. Several fast integral equation solvers for surface and volume scatterers are presented. These solvers have reduced computational complexities and memory requirements.

AB - Various methods for efficiently solving electromagnetic problems are presented. Electromagnetic scattering problems can be roughly classified into surface and volume problems, while fast methods are either differential or integral equation based. The resultant systems of linear equations are either solved directly or iteratively. A review of various differential equation solvers, their complexities, and memory requirements is given. The issues of grid dispersion and hybridization with integral equation solvers are discussed. Several fast integral equation solvers for surface and volume scatterers are presented. These solvers have reduced computational complexities and memory requirements.

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Fast solution methods in electromagnetics

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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