Sparse representations of integral equations in a localizing basis

R. J. Adams, F. X. Canning, A. Zhu

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

A compression algorithm is presented for discrete representations of boundary-integral operators. The algorithm relies on an expansion of the unknown surface currents in a numerically determined basis of functions that are simultaneously localized to small regions on a large target while also satisfying global boundary conditions. It is shown that the resulting local-global solution (LOGOS) modes provide efficient approximations of the impedance matrix at low to moderate frequencies.

Original languageEnglish
Pages (from-to)236-240
Number of pages5
JournalMicrowave and Optical Technology Letters
Volume47
Issue number3
DOIs
StatePublished - Nov 2005

Keywords

  • Integral equations
  • Matrix compression
  • Simulation

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

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