High order locally corrected Nyström method with normal continuity

N. Hendijan; J. Cheng; R. J. Adams; J. C. Young

doi:10.1109/APS.2015.7304463

High order locally corrected Nyström method with normal continuity

N. Hendijan, J. Cheng, R. J. Adams, J. C. Young

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

Abstract

A constrained locally corrected Nyström (CLCN) method has recently been developed. The CLCN method enables the imposition of normal continuity on underlying vector quantities across mesh element boundaries. This is accomplished by deriving appropriate transformation vectors through simple algebraic analyses of local, homogeneous constraint conditions. Compared to the LCN method, the CLCN method improves the condition numbers of the system matrix, it reduces computational costs through a reduction in the number of degrees of freedom (DOFs), and it improves accuracy for sharp geometries. In the case of the magnetic field integral equation (MFIE), it is shown that the CLCN method yields stable condition numbers as the order increases.

Original language	English
Title of host publication	2015 IEEE Antennas and Propagation Society International Symposium, APS 2015 - Proceedings
Pages	155-156
Number of pages	2
ISBN (Electronic)	9781479978151
DOIs	https://doi.org/10.1109/APS.2015.7304463
State	Published - Oct 22 2015
Event	IEEE Antennas and Propagation Society International Symposium, APS 2015 - Vancouver, Canada Duration: Jul 19 2015 → Jul 24 2015

Publication series

Name	IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
Volume	2015-October
ISSN (Print)	1522-3965

Conference

Conference	IEEE Antennas and Propagation Society International Symposium, APS 2015
Country/Territory	Canada
City	Vancouver
Period	7/19/15 → 7/24/15

Bibliographical note

Publisher Copyright:
© 2015 IEEE.

ASJC Scopus subject areas

Electrical and Electronic Engineering

Access to Document

10.1109/APS.2015.7304463

Cite this

Hendijan, N., Cheng, J., Adams, R. J., & Young, J. C. (2015). High order locally corrected Nyström method with normal continuity. In 2015 IEEE Antennas and Propagation Society International Symposium, APS 2015 - Proceedings (pp. 155-156). Article 7304463 (IEEE Antennas and Propagation Society, AP-S International Symposium (Digest); Vol. 2015-October). https://doi.org/10.1109/APS.2015.7304463

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abstract = "A constrained locally corrected Nystr{\"o}m (CLCN) method has recently been developed. The CLCN method enables the imposition of normal continuity on underlying vector quantities across mesh element boundaries. This is accomplished by deriving appropriate transformation vectors through simple algebraic analyses of local, homogeneous constraint conditions. Compared to the LCN method, the CLCN method improves the condition numbers of the system matrix, it reduces computational costs through a reduction in the number of degrees of freedom (DOFs), and it improves accuracy for sharp geometries. In the case of the magnetic field integral equation (MFIE), it is shown that the CLCN method yields stable condition numbers as the order increases.",

author = "N. Hendijan and J. Cheng and Adams, {R. J.} and Young, {J. C.}",

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doi = "10.1109/APS.2015.7304463",

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Hendijan, N, Cheng, J, Adams, RJ & Young, JC 2015, High order locally corrected Nyström method with normal continuity. in 2015 IEEE Antennas and Propagation Society International Symposium, APS 2015 - Proceedings., 7304463, IEEE Antennas and Propagation Society, AP-S International Symposium (Digest), vol. 2015-October, pp. 155-156, IEEE Antennas and Propagation Society International Symposium, APS 2015, Vancouver, Canada, 7/19/15. https://doi.org/10.1109/APS.2015.7304463

High order locally corrected Nyström method with normal continuity. / Hendijan, N.; Cheng, J.; Adams, R. J. et al.
2015 IEEE Antennas and Propagation Society International Symposium, APS 2015 - Proceedings. 2015. p. 155-156 7304463 (IEEE Antennas and Propagation Society, AP-S International Symposium (Digest); Vol. 2015-October).

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

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AB - A constrained locally corrected Nyström (CLCN) method has recently been developed. The CLCN method enables the imposition of normal continuity on underlying vector quantities across mesh element boundaries. This is accomplished by deriving appropriate transformation vectors through simple algebraic analyses of local, homogeneous constraint conditions. Compared to the LCN method, the CLCN method improves the condition numbers of the system matrix, it reduces computational costs through a reduction in the number of degrees of freedom (DOFs), and it improves accuracy for sharp geometries. In the case of the magnetic field integral equation (MFIE), it is shown that the CLCN method yields stable condition numbers as the order increases.

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High order locally corrected Nyström method with normal continuity

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