Abstract
This paper presents an algebraic technique for generating arbitrary-order divergence-conforming bases for curvilinear triangular cells. The bases are constructed by enforcing appropriate constraints on a linear combination of general functions and then extracting the desired bases using singular value decompositions. Koornwinder-Dubiner polynomials are chosen as the general function set. Basic constraints are presented to obtain divergence-conforming bases, and additional constraints are presented to further enforce the bases to be Nédélec. Results from a variety of problems are given to show that the bases exhibit high-order convergence and also produce systems that are relatively well conditioned compared to other basis sets.
Original language | English |
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Article number | 7967697 |
Pages (from-to) | 4717-4727 |
Number of pages | 11 |
Journal | IEEE Transactions on Antennas and Propagation |
Volume | 65 |
Issue number | 9 |
DOIs | |
State | Published - Sep 2017 |
Bibliographical note
Publisher Copyright:© 2017 IEEE.
Keywords
- Constrained bases
- Koornwinder-Dubiner polynomials
- singular value decomposition (SVD)
- triangle cells
ASJC Scopus subject areas
- Electrical and Electronic Engineering