Divergence-Conforming Constrained Basis Functions for Hexahedral Volume Elements

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

doi:10.1109/TAP.2017.2775288

Divergence-Conforming Constrained Basis Functions for Hexahedral Volume Elements

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

Producción científica: Article › revisión exhaustiva

3 Citas (Scopus)

Resumen

This communication presents an algebraic method for constructing arbitrary-order, divergence-conforming basis functions on hexahedral volume elements. The appropriate constraints within and on the boundaries of elements are provided. In particular, the handling of faces where quantities are discontinuous is discussed. The resulting bases are numerically characterized in terms of error convergence and system conditioning for a moment method discretization of the electric field volume integral equation for dielectric scatterers. Results show the accuracy of the proposed method as well as the low system matrix condition number that can be maintained as the basis order and mesh discretization are increased.

Idioma original	English
Número de artículo	8115191
Páginas (desde-hasta)	501-504
Número de páginas	4
Publicación	IEEE Transactions on Antennas and Propagation
Volumen	66
N.º	1
DOI	https://doi.org/10.1109/TAP.2017.2775288
Estado	Published - ene 2018

Nota bibliográfica

Publisher Copyright:
© 1963-2012 IEEE.

Financiación

Manuscript received January 12, 2017; revised July 28, 2017; accepted October 18, 2017. Date of publication November 20, 2017; date of current version January 2, 2018. This work was supported in part by the Office of Naval Research under Grant N00014-15-1-2270. (Corresponding author: John C. Young.) The authors are with the Department of Electrical and Computer Engineering, University of Kentucky, Lexington, KY 40506 USA (e-mail: [email protected]; [email protected]; [email protected]).

Financiadores	Número del financiador
Office of Naval Research	N00014-15-1-2270

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Electrical and Electronic Engineering

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AB - This communication presents an algebraic method for constructing arbitrary-order, divergence-conforming basis functions on hexahedral volume elements. The appropriate constraints within and on the boundaries of elements are provided. In particular, the handling of faces where quantities are discontinuous is discussed. The resulting bases are numerically characterized in terms of error convergence and system conditioning for a moment method discretization of the electric field volume integral equation for dielectric scatterers. Results show the accuracy of the proposed method as well as the low system matrix condition number that can be maintained as the basis order and mesh discretization are increased.

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KW - volume integral equations

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Divergence-Conforming Constrained Basis Functions for Hexahedral Volume Elements

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