Study of mixed-order basis functions for the locally corrected Nyström method

Stephen D. Gedney, Aiming Zhu, Cai Cheng Lu

Research output: Contribution to journalArticlepeer-review

36 Scopus citations


A high-order locally corrected Nyström (LCN) method employing the mixed-order basis functions proposed by Çaltşkan and Peterson is presented for the electromagnetic scattering by targets composed of both dielectric and conducting bodies. An integral operator based on a combined field formulation for conducting surfaces and a Müller formulation for dielectric surfaces is used. It is found that for general scattering objects, mixed-order basis functions accelerate the convergence of the LCN solution, can eliminate spurious charges, and can significantly reduce the condition number of the impedance matrix.

Original languageEnglish
Pages (from-to)2996-3004
Number of pages9
JournalIEEE Transactions on Antennas and Propagation
Issue number11
StatePublished - Nov 2004

Bibliographical note

Funding Information:
Manuscript received October 27, 2003; revised January 28, 2004. This work was supported in part by the Defense Advanced Research Projects Agency (DARPA) under Grant MDA972-01-1-0022 and in part by the Army Research Office (ARO) under contract DAAD-19-99-1-0093.


  • Electromagnetic scattering
  • Integral equation methods
  • Locally corrected Nyström (LCN) method
  • Numerical analysis

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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