Efficient solution of integral equations in a localizing basis

R. J. Adams; A. Zhu; F. X. Canning

doi:10.1163/156939305775537438

Efficient solution of integral equations in a localizing basis

R. J. Adams, A. Zhu, F. X. Canning

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

14 Scopus citations

Abstract

A sparse direct solution algorithm is reported for discrete representations of boundary integral operators. The algorithm relies on an expansion of the unknown surface currents in a numerically determined basis of functions that are simultaneously localized to small regions on a larger target while also satisfying global boundary conditions. It is shown that the QR factorization of the impedance matrix is sparse in this basis at low to moderate frequencies.

Original language	English
Pages (from-to)	1583-1594
Number of pages	12
Journal	Journal of Electromagnetic Waves and Applications
Volume	19
Issue number	12
DOIs	https://doi.org/10.1163/156939305775537438
State	Published - 2005

Bibliographical note

Funding Information:
This work was supported in part by ONR contract N00014-04-1-0485.

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
General Physics and Astronomy
Electrical and Electronic Engineering

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10.1163/156939305775537438

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title = "Efficient solution of integral equations in a localizing basis",

abstract = "A sparse direct solution algorithm is reported for discrete representations of boundary integral operators. The algorithm relies on an expansion of the unknown surface currents in a numerically determined basis of functions that are simultaneously localized to small regions on a larger target while also satisfying global boundary conditions. It is shown that the QR factorization of the impedance matrix is sparse in this basis at low to moderate frequencies.",

author = "Adams, {R. J.} and A. Zhu and Canning, {F. X.}",

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AU - Zhu, A.

AU - Canning, F. X.

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PY - 2005

Y1 - 2005

N2 - A sparse direct solution algorithm is reported for discrete representations of boundary integral operators. The algorithm relies on an expansion of the unknown surface currents in a numerically determined basis of functions that are simultaneously localized to small regions on a larger target while also satisfying global boundary conditions. It is shown that the QR factorization of the impedance matrix is sparse in this basis at low to moderate frequencies.

AB - A sparse direct solution algorithm is reported for discrete representations of boundary integral operators. The algorithm relies on an expansion of the unknown surface currents in a numerically determined basis of functions that are simultaneously localized to small regions on a larger target while also satisfying global boundary conditions. It is shown that the QR factorization of the impedance matrix is sparse in this basis at low to moderate frequencies.

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JO - Journal of Electromagnetic Waves and Applications

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ER -

Efficient solution of integral equations in a localizing basis

Abstract

Bibliographical note

ASJC Scopus subject areas

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