Generalized source integral equation

A. Sharshevsky; Y. Brick; A. Boag

doi:10.1109/ICEAA.2017.8065455

Generalized source integral equation

A. Sharshevsky, Y. Brick, A. Boag

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

The Generalized Source Integral Equations (GSIE) is a family of integral formulations which are designed to be inherently compressible, for the purpose of designing general fast direct solvers. These formulations employ highly directional sources with complex radiation patterns rather than the conventional non-directional sources. In this work we employ shielded sources to achieve the desired directivity. Such sources inherently eliminate line-of-sight interactions, thus effectively reducing the problem's dimensionality. The dimensionality reduction leads in turn to O(N log N) complexity for essentially convex two dimensional problems.

Original language	English
Title of host publication	Proceedings of the 2017 19th International Conference on Electromagnetics in Advanced Applications, ICEAA 2017
Publisher	Institute of Electrical and Electronics Engineers
Pages	1097-1098
Number of pages	2
ISBN (Electronic)	9781509044511
DOIs	https://doi.org/10.1109/ICEAA.2017.8065455
State	Published - 11 Oct 2017
Externally published	Yes
Event	19th International Conference on Electromagnetics in Advanced Applications, ICEAA 2017 - Verona, Italy Duration: 11 Sep 2017 → 15 Sep 2017

Publication series

Name	Proceedings of the 2017 19th International Conference on Electromagnetics in Advanced Applications, ICEAA 2017

Conference

Conference	19th International Conference on Electromagnetics in Advanced Applications, ICEAA 2017
Country/Territory	Italy
City	Verona
Period	11/09/17 → 15/09/17

ASJC Scopus subject areas

Electrical and Electronic Engineering
Instrumentation
Radiation

Access to Document

10.1109/ICEAA.2017.8065455

Cite this

Sharshevsky, A., Brick, Y., & Boag, A. (2017). Generalized source integral equation. In Proceedings of the 2017 19th International Conference on Electromagnetics in Advanced Applications, ICEAA 2017 (pp. 1097-1098). Article 8065455 (Proceedings of the 2017 19th International Conference on Electromagnetics in Advanced Applications, ICEAA 2017). Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/ICEAA.2017.8065455

Sharshevsky, A. ; Brick, Y. ; Boag, A. / Generalized source integral equation. Proceedings of the 2017 19th International Conference on Electromagnetics in Advanced Applications, ICEAA 2017. Institute of Electrical and Electronics Engineers, 2017. pp. 1097-1098 (Proceedings of the 2017 19th International Conference on Electromagnetics in Advanced Applications, ICEAA 2017).

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title = "Generalized source integral equation",

abstract = "The Generalized Source Integral Equations (GSIE) is a family of integral formulations which are designed to be inherently compressible, for the purpose of designing general fast direct solvers. These formulations employ highly directional sources with complex radiation patterns rather than the conventional non-directional sources. In this work we employ shielded sources to achieve the desired directivity. Such sources inherently eliminate line-of-sight interactions, thus effectively reducing the problem's dimensionality. The dimensionality reduction leads in turn to O(N log N) complexity for essentially convex two dimensional problems.",

author = "A. Sharshevsky and Y. Brick and A. Boag",

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doi = "10.1109/ICEAA.2017.8065455",

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Sharshevsky, A, Brick, Y & Boag, A 2017, Generalized source integral equation. in Proceedings of the 2017 19th International Conference on Electromagnetics in Advanced Applications, ICEAA 2017., 8065455, Proceedings of the 2017 19th International Conference on Electromagnetics in Advanced Applications, ICEAA 2017, Institute of Electrical and Electronics Engineers, pp. 1097-1098, 19th International Conference on Electromagnetics in Advanced Applications, ICEAA 2017, Verona, Italy, 11/09/17. https://doi.org/10.1109/ICEAA.2017.8065455

Generalized source integral equation. / Sharshevsky, A.; Brick, Y.; Boag, A.
Proceedings of the 2017 19th International Conference on Electromagnetics in Advanced Applications, ICEAA 2017. Institute of Electrical and Electronics Engineers, 2017. p. 1097-1098 8065455 (Proceedings of the 2017 19th International Conference on Electromagnetics in Advanced Applications, ICEAA 2017).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Boag, A.

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N2 - The Generalized Source Integral Equations (GSIE) is a family of integral formulations which are designed to be inherently compressible, for the purpose of designing general fast direct solvers. These formulations employ highly directional sources with complex radiation patterns rather than the conventional non-directional sources. In this work we employ shielded sources to achieve the desired directivity. Such sources inherently eliminate line-of-sight interactions, thus effectively reducing the problem's dimensionality. The dimensionality reduction leads in turn to O(N log N) complexity for essentially convex two dimensional problems.

AB - The Generalized Source Integral Equations (GSIE) is a family of integral formulations which are designed to be inherently compressible, for the purpose of designing general fast direct solvers. These formulations employ highly directional sources with complex radiation patterns rather than the conventional non-directional sources. In this work we employ shielded sources to achieve the desired directivity. Such sources inherently eliminate line-of-sight interactions, thus effectively reducing the problem's dimensionality. The dimensionality reduction leads in turn to O(N log N) complexity for essentially convex two dimensional problems.

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Sharshevsky A, Brick Y, Boag A. Generalized source integral equation. In Proceedings of the 2017 19th International Conference on Electromagnetics in Advanced Applications, ICEAA 2017. Institute of Electrical and Electronics Engineers. 2017. p. 1097-1098. 8065455. (Proceedings of the 2017 19th International Conference on Electromagnetics in Advanced Applications, ICEAA 2017). doi: 10.1109/ICEAA.2017.8065455

Generalized source integral equation

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