Diagonal factorization of integral equation matrices via localizing sources and orthogonally matched receivers

Robert J. Adams; John C. Young

doi:10.2528/PIERM16121201

Diagonal factorization of integral equation matrices via localizing sources and orthogonally matched receivers

Robert J. Adams, John C. Young

Electrical and Computer Engineering

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

1 Scopus citations

Abstract

A procedure is reported to determine accurate, invertible, block-diagonal factorizations for matrices obtained by discretizing integral equation formulations of electromagnetic interaction problems. The algorithm is based on the combination of localizing source/receiver transformations with orthogonally matched receiver/source transformations. The resulting factorization provides a single, sparse data structure for the system matrix and its inverse, and no approximation is required to convert between the two. Numerical examples illustrate the performance of the factorization for electromagnetic scattering from perfectly conducting elliptical cylinders of different electrical size.

Original language	English
Pages (from-to)	1-10
Number of pages	10
Journal	Progress In Electromagnetics Research M
Volume	56
DOIs	https://doi.org/10.2528/PIERM16121201
State	Published - 2017

Bibliographical note

Funding Information:
The authors gratefully acknowledge support from the Office of Naval Research (N00014-16-1-3066) and the Kentucky Science and Engineering Foundation (KSEF-148-502-16-393).

Publisher Copyright:
© 2017, Electromagnetics Academy. All rights reserved.

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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abstract = "A procedure is reported to determine accurate, invertible, block-diagonal factorizations for matrices obtained by discretizing integral equation formulations of electromagnetic interaction problems. The algorithm is based on the combination of localizing source/receiver transformations with orthogonally matched receiver/source transformations. The resulting factorization provides a single, sparse data structure for the system matrix and its inverse, and no approximation is required to convert between the two. Numerical examples illustrate the performance of the factorization for electromagnetic scattering from perfectly conducting elliptical cylinders of different electrical size.",

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N1 - Funding Information: The authors gratefully acknowledge support from the Office of Naval Research (N00014-16-1-3066) and the Kentucky Science and Engineering Foundation (KSEF-148-502-16-393). Publisher Copyright: © 2017, Electromagnetics Academy. All rights reserved.

PY - 2017

Y1 - 2017

N2 - A procedure is reported to determine accurate, invertible, block-diagonal factorizations for matrices obtained by discretizing integral equation formulations of electromagnetic interaction problems. The algorithm is based on the combination of localizing source/receiver transformations with orthogonally matched receiver/source transformations. The resulting factorization provides a single, sparse data structure for the system matrix and its inverse, and no approximation is required to convert between the two. Numerical examples illustrate the performance of the factorization for electromagnetic scattering from perfectly conducting elliptical cylinders of different electrical size.

AB - A procedure is reported to determine accurate, invertible, block-diagonal factorizations for matrices obtained by discretizing integral equation formulations of electromagnetic interaction problems. The algorithm is based on the combination of localizing source/receiver transformations with orthogonally matched receiver/source transformations. The resulting factorization provides a single, sparse data structure for the system matrix and its inverse, and no approximation is required to convert between the two. Numerical examples illustrate the performance of the factorization for electromagnetic scattering from perfectly conducting elliptical cylinders of different electrical size.

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Diagonal factorization of integral equation matrices via localizing sources and orthogonally matched receivers

Abstract

Bibliographical note

ASJC Scopus subject areas

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