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

Producción científica: Conference contribution › revisión exhaustiva

Resumen

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.

Idioma original	English
Título de la publicación alojada	2015 IEEE Antennas and Propagation Society International Symposium, APS 2015 - Proceedings
Páginas	155-156
Número de páginas	2
ISBN (versión digital)	9781479978151
DOI	https://doi.org/10.1109/APS.2015.7304463
Estado	Published - oct 22 2015
Evento	IEEE Antennas and Propagation Society International Symposium, APS 2015 - Vancouver, Canada Duración: jul 19 2015 → jul 24 2015

Serie de la publicación

Nombre	IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
Volumen	2015-October
ISSN (versión impresa)	1522-3965

Conference

Conference	IEEE Antennas and Propagation Society International Symposium, APS 2015
País/Territorio	Canada
Ciudad	Vancouver
Período	7/19/15 → 7/24/15

Nota bibliográfica

Publisher Copyright:
© 2015 IEEE.

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/APS.2015.7304463

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Hendijan, N., Cheng, J., Adams, R. J., & Young, J. C. (2015). High order locally corrected Nyström method with normal continuity. En 2015 IEEE Antennas and Propagation Society International Symposium, APS 2015 - Proceedings (pp. 155-156). Artículo 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.",

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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. En 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).

Producción científica: Conference contribution › revisión exhaustiva

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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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