Considerations on double exponential-based cubatures for the computation of weakly singular Galerkin inner products

Athanasios G. Polimeridis*, Ioannis D. Koufogiannis, Michael Mattes, Juan R. Mosig

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

Highly accurate and efficient cubatures based on the double exponential quadrature rules are presented for the computation of weakly singular integrals arising in Galerkin mixed potential integral equation formulations. Due to their unique ability to handle non-smooth kernels, the proposed integration schemes can safely replace (in a plug-n-play sense) the traditional Gauss-Legendre rules in the existing singularity cancellation and singularity subtraction methods. Numerical examples using RWG basis functions confirm the excellent performance of the proposed method.

Original languageEnglish
Article number6163367
JournalIEEE Transactions on Antennas and Propagation
Volume60
Issue number5
Pages (from-to)2579-2582
Number of pages4
ISSN0018-926X
DOIs
Publication statusPublished - 2012
Externally publishedYes

Keywords

  • Double exponential quadrature
  • method of moments (MoM)
  • mixed potential integral equation (MPIE)
  • RWG basis functions
  • weakly singular integrals

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