A comparative study of three finite element-based explicit numerical schemes for solving Maxwell's equations

Xiaolei Li, Jianming Jin

Research output: Contribution to journalArticle

Abstract

Three finite element-based explicit numerical algorithms, named the dual-field domain decomposition at the element level (DFDD-ELD), the discontinuous Galerkin time-domain method with upwind fluxes (DGTD-Upwind), and the discontinuous Galerkin time-domain method with central fluxes (DGTD-Central), are investigated and compared in terms of accuracy and efficiency. All three algorithms can perform an efficient domain decomposition and avoid the inversion of a global system matrix, yet the study shows that they differ from each other in terms of accuracy and efficiency. Hybrid implicit-explicit schemes, which can relax the restriction on the time step size imposed by the smallest elements in the computational domain, are also investigated for both DFDD and DGTD and compared in terms of efficiency.

Original languageEnglish (US)
Article number6108344
Pages (from-to)1450-1457
Number of pages8
JournalIEEE Transactions on Antennas and Propagation
Volume60
Issue number3
DOIs
StatePublished - Mar 1 2012

Keywords

  • Discontinuous Galerkin method
  • domain decomposition
  • finite element method
  • time domain analysis

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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