Singular, hierarchical scalar basis functions for triangular cells

Roberto D. Graglia; Andrew F. Peterson; Ladislau Matekovits

doi:10.1109/TAP.2013.2256099

Singular, hierarchical scalar basis functions for triangular cells

Roberto D. Graglia, Andrew F. Peterson, Ladislau Matekovits

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

A new family of hierarchical basis functions is proposed for triangular cells. These functions incorporate singular behavior to model fields with corner singularities. The functions are of the additive kind, and combine a traditional polynomial-complete representation on triangles with additional singular terms that incorporate general exponents that may be adjusted for the specific wedge angle of interest. The condition numbers arising from the use of these functions is investigated.

Original language	English
Article number	6492098
Pages (from-to)	3674-3692
Number of pages	19
Journal	IEEE Transactions on Antennas and Propagation
Volume	61
Issue number	7
DOIs	https://doi.org/10.1109/TAP.2013.2256099
Publication status	Published - 2013
Externally published	Yes

Keywords

Basis functions
finite element methods
hierarchical basis functions
singular basis functions
waveguides
wedges

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10.1109/TAP.2013.2256099

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AU - Peterson, Andrew F.

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AB - A new family of hierarchical basis functions is proposed for triangular cells. These functions incorporate singular behavior to model fields with corner singularities. The functions are of the additive kind, and combine a traditional polynomial-complete representation on triangles with additional singular terms that incorporate general exponents that may be adjusted for the specific wedge angle of interest. The condition numbers arising from the use of these functions is investigated.

KW - Basis functions

KW - finite element methods

KW - hierarchical basis functions

KW - singular basis functions

KW - waveguides

KW - wedges

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Singular, hierarchical scalar basis functions for triangular cells

Abstract

Keywords

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