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.
|Number of pages||4|
|Journal||IEEE Transactions on Antennas and Propagation|
|State||Published - Jan 2018|
Bibliographical noteFunding Information:
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@example.com; firstname.lastname@example.org; email@example.com).
© 1963-2012 IEEE.
- Basis functions
- constrained bases
- method of moments (MoM)
- volume integral equations
ASJC Scopus subject areas
- Electrical and Electronic Engineering