Constrained divergence-conforming bases

Rober Pfeiffer; John C. Young; Robert J. Adams

doi:10.1109/APS.2016.7695864

Constrained divergence-conforming bases

Rober Pfeiffer, John C. Young, Robert J. Adams

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

Abstract

In this paper, a technique for automatically generating basis functions suitable for integral equation discretizations is presented. The technique seeks to obtain an optimal basis function from a linear combination of more general functions by enforcing an appropriate set of constraints on the linear combination and then solving for the optimal coefficients. Numerical properties of divergence-conforming constrained bases on quadrilateral meshes are characterized in terms of scattering from perfectly electric conducting structures. Computed data show that the condition numbers of system matrices resulting from the use of the constrained bases are equal to or better than those resulting from the use of other basis sets reported in the literature.

Original language	English
Title of host publication	2016 IEEE Antennas and Propagation Society International Symposium, APSURSI 2016 - Proceedings
Pages	311-312
Number of pages	2
ISBN (Electronic)	9781509028863
DOIs	https://doi.org/10.1109/APS.2016.7695864
State	Published - Oct 25 2016
Event	2016 IEEE Antennas and Propagation Society International Symposium, APSURSI 2016 - Fajardo, Puerto Rico Duration: Jun 26 2016 → Jul 1 2016

Publication series

Name	2016 IEEE Antennas and Propagation Society International Symposium, APSURSI 2016 - Proceedings

Conference

Conference	2016 IEEE Antennas and Propagation Society International Symposium, APSURSI 2016
Country/Territory	Puerto Rico
City	Fajardo
Period	6/26/16 → 7/1/16

Bibliographical note

Publisher Copyright:
© 2016 IEEE.

Keywords

Divergence-conforming bases
method of moments (MoM)
singular value decomposition

ASJC Scopus subject areas

Instrumentation
Radiation
Computer Networks and Communications

Access to Document

10.1109/APS.2016.7695864

Cite this

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title = "Constrained divergence-conforming bases",

abstract = "In this paper, a technique for automatically generating basis functions suitable for integral equation discretizations is presented. The technique seeks to obtain an optimal basis function from a linear combination of more general functions by enforcing an appropriate set of constraints on the linear combination and then solving for the optimal coefficients. Numerical properties of divergence-conforming constrained bases on quadrilateral meshes are characterized in terms of scattering from perfectly electric conducting structures. Computed data show that the condition numbers of system matrices resulting from the use of the constrained bases are equal to or better than those resulting from the use of other basis sets reported in the literature.",

keywords = "Divergence-conforming bases, method of moments (MoM), singular value decomposition",

author = "Rober Pfeiffer and Young, {John C.} and Adams, {Robert J.}",

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doi = "10.1109/APS.2016.7695864",

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Pfeiffer, R, Young, JC & Adams, RJ 2016, Constrained divergence-conforming bases. in 2016 IEEE Antennas and Propagation Society International Symposium, APSURSI 2016 - Proceedings., 7695864, 2016 IEEE Antennas and Propagation Society International Symposium, APSURSI 2016 - Proceedings, pp. 311-312, 2016 IEEE Antennas and Propagation Society International Symposium, APSURSI 2016, Fajardo, Puerto Rico, 6/26/16. https://doi.org/10.1109/APS.2016.7695864

Constrained divergence-conforming bases. / Pfeiffer, Rober; Young, John C.; Adams, Robert J.
2016 IEEE Antennas and Propagation Society International Symposium, APSURSI 2016 - Proceedings. 2016. p. 311-312 7695864 (2016 IEEE Antennas and Propagation Society International Symposium, APSURSI 2016 - Proceedings).

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

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Constrained divergence-conforming bases

Abstract

Publication series

Conference

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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