A Discontinuous Galerkin Surface Integral Solution for Scattering from Homogeneous Objects with High Dielectric Constant

Beibei Kong, Xiao Wei Huang, Xin Qing Sheng*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

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Abstract

The discontinuous Galerkin (DG) method for homogeneous bodies has been studied and shown to be an efficient tool for multiscale homogeneous bodies. However, the slow convergence of DG with the block diagonal preconditioner (BDP) is still observed in solving high contrast homogeneous bodies. An efficient preconditioning approach is designed for the DG method in this communication by using the sparsing approach on the near-field matrix of the whole region. The iteration convergence speed of the DG method is improved while the computing resources for constructing the preconditioner are effectively reduced. Numerical experiments demonstrate the capability of the presented DG method for multiscale homogeneous bodies, especially for those with a high dielectric constant.

Original languageEnglish
Article number8876841
Pages (from-to)598-603
Number of pages6
JournalIEEE Transactions on Antennas and Propagation
Volume68
Issue number1
DOIs
Publication statusPublished - 1 Jan 2020
MoE publication typeA1 Journal article-refereed

Keywords

  • Discontinuous Galerkin (DG) method
  • high dielectric constant
  • homogeneous objects
  • multiscale

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