High-order Nystrm implementation of an augmented electric field integral equation

John C. Young; Yuan Xu; Robert J. Adams; Stephen D. Gedney

doi:10.1109/LAWP.2012.2208932

High-order Nystrm implementation of an augmented electric field integral equation

John C. Young, Yuan Xu, Robert J. Adams, Stephen D. Gedney

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

17 Scopus citations

Abstract

A higher-order, locally corrected Nystrm discretization of an augmented electric field integral equation (EFIE) is developed and demonstrated for low-frequency applications. The augmented system is obtained by combining the EFIE with the current continuity equation. Due to the discontinuous nature of the higher-order Nystrm discretization, it is necessary to introduce line charge degrees of freedom on all mesh edges. It is observed that the resulting linear system is stable as the frequency decreases, and it also provides high-order convergence for a canonical geometry.

Original language	English
Article number	6241402
Pages (from-to)	846-849
Number of pages	4
Journal	IEEE Antennas and Wireless Propagation Letters
Volume	11
DOIs	https://doi.org/10.1109/LAWP.2012.2208932
State	Published - 2012

Bibliographical note

Funding Information:
Manuscript received May 22, 2012; revised June 26, 2012; accepted July 02, 2012. Date of publication July 16, 2012; date of current version August 03, 2012. This work was supported in part by the US Office of Naval Research under Grant N00014-11-1-0625.

Keywords

Augmented electric field integral equation (AEFIE)
Nystrm
low-frequency

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/LAWP.2012.2208932

Cite this

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abstract = "A higher-order, locally corrected Nystrm discretization of an augmented electric field integral equation (EFIE) is developed and demonstrated for low-frequency applications. The augmented system is obtained by combining the EFIE with the current continuity equation. Due to the discontinuous nature of the higher-order Nystrm discretization, it is necessary to introduce line charge degrees of freedom on all mesh edges. It is observed that the resulting linear system is stable as the frequency decreases, and it also provides high-order convergence for a canonical geometry.",

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AU - Xu, Yuan

AU - Adams, Robert J.

AU - Gedney, Stephen D.

N1 - Funding Information: Manuscript received May 22, 2012; revised June 26, 2012; accepted July 02, 2012. Date of publication July 16, 2012; date of current version August 03, 2012. This work was supported in part by the US Office of Naval Research under Grant N00014-11-1-0625.

PY - 2012

Y1 - 2012

N2 - A higher-order, locally corrected Nystrm discretization of an augmented electric field integral equation (EFIE) is developed and demonstrated for low-frequency applications. The augmented system is obtained by combining the EFIE with the current continuity equation. Due to the discontinuous nature of the higher-order Nystrm discretization, it is necessary to introduce line charge degrees of freedom on all mesh edges. It is observed that the resulting linear system is stable as the frequency decreases, and it also provides high-order convergence for a canonical geometry.

AB - A higher-order, locally corrected Nystrm discretization of an augmented electric field integral equation (EFIE) is developed and demonstrated for low-frequency applications. The augmented system is obtained by combining the EFIE with the current continuity equation. Due to the discontinuous nature of the higher-order Nystrm discretization, it is necessary to introduce line charge degrees of freedom on all mesh edges. It is observed that the resulting linear system is stable as the frequency decreases, and it also provides high-order convergence for a canonical geometry.

KW - Augmented electric field integral equation (AEFIE)

KW - Nystrm

KW - low-frequency

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High-order Nystrm implementation of an augmented electric field integral equation

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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