A Discontinuous galerkin self-dual integral equation method for scattering from ibc objects

Xiao Wei Huang, Xin Qing Sheng*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

30 Citations (Scopus)

Abstract

A discontinuous Galerkin self-dual integral equation (DG-SDIE) method is presented for accurately calculating electromagnetic scattering from objects with impedance boundary condition (IBC) surfaces. The working mechanisms of each term in the DG-SDIE formulation are studied physically and numerically. Based on the mechanisms, we propose a new efficient nonsymmetric DG-SDIE formulation (NDG-SDIE) for IBC problems. A comprehensive study is made to compare the NDG-SDIE with the previous symmetric DG-SDIE (SDG-SDIE) and antisymmetric DG-SDIE (ADG-SDIE) extension formulations for IBC. Numerical results demonstrate that NDG-SDIE is more efficient than SDG-SDIE and ADG-SDIE while generally maintaining the similar accuracy. In addition, we show that the DG methods are more attractive than the standard SDIE due to its flexible performance on large complex multiscale objects.

Original languageEnglish
Article number8668489
Pages (from-to)4708-4717
Number of pages10
JournalIEEE Transactions on Antennas and Propagation
Volume67
Issue number7
DOIs
Publication statusPublished - Jul 2019

Keywords

  • Discontinuous Galerkin (DG) method
  • electromagnetic (EM) scattering
  • impedance boundary condition (IBC)
  • surface integral equations (SIE)

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