Interior Penalty Discontinuous Galerkin Time-Domain Method Based on Wave Equation for 3-D Electromagnetic Modeling

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Article number8049491
Pages (from-to)7174-7184
Journal / PublicationIEEE Transactions on Antennas and Propagation
Issue number12
Online published26 Sep 2017
Publication statusPublished - Dec 2017


Built on the vector wave equation, an interior penalty discontinuous Galerkin time domain (IPDG-WE) method is presented for 3-D real-life electromagnetic modeling in this paper. We develop the interior penalty fluxes corresponding to different types of boundary conditions which are commonly used in electromagnetic modeling to construct the IPDG-WE system in local elements. In addition, to model the incident wave excitation, the total-field/scattered-field approach is incorporated into the proposed method. The stability of the IPDG-WE method is studied analytically and demonstrated numerically. We also compare the performance between wave equation-based finite-element time-domain method, the Maxwell's equation-based discontinuous Galerkin time-domain method, and the proposed method, both in CPU time and memory usage, which demonstrates that the IPDG-WE method is very competitive among time-domain solvers. Besides, the presented method shows good characteristics including the energy conservation and the optimal convergence rate of O(hp+1). Numerical examples are presented to illustrate the validity, versatility, and potential of the proposed method in 3-D electromagnetic problems modeling.

Research Area(s)

  • Discontinuous Galerkin time domain (DGTD), energy conservation, interior penalty, optimal convergence rate, wave equation

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