Singular, hierarchical scalar basis functions for triangular cells

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

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


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 languageEnglish
Article number6492098
Pages (from-to)3674-3692
Number of pages19
JournalIEEE Transactions on Antennas and Propagation
Issue number7
Publication statusPublished - 2013
Externally publishedYes


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


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