A Coarse-Grained Integral Equation Method for Multiscale Electromagnetic Analysis

Hong Wei Gao, Zhen Peng, Xin Qing Sheng

Research output: Contribution to journalArticlepeer-review


Nowadays, increasing demands are placed on enhancements of the model fidelity in electromagnetic (EM) analysis. One major difficulty comes from the multiscale nature of the high-definition geometry, in which the spatial scales differ by orders of magnitude. It often leads to strongly nonuniform discretizations, and a large, dense, and ill-conditioned matrix equation to solve. The work investigates an adaptive coarse-graining domain decomposition method for the integral equation-based solution of large, complex EM problems. A parallel and multilevel skeletonization approach is employed to construct effective coarse-grid basis functions locally per subdomain. The benefits of the work include a well-preconditioned system, an effective matrix compression, and the reduced computational costs. The numerical results validate the hypothesis and demonstrate a considerable reduction in the computational complexity for multiscale problems of interest.

Original languageEnglish (US)
Pages (from-to)1607-1612
Number of pages6
JournalIEEE Transactions on Antennas and Propagation
Issue number3
StatePublished - Mar 2018
Externally publishedYes


  • Domain decomposition (DD)
  • electromagnetic (EM) scattering
  • integral equations (IEs)
  • multiresolution techniques

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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