Stability analysis of discontinuous galerkin time-domain method for conductive media

ÖZAKIN M. B., Chen L., Ahmed S., Bagci H.

2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021, Virtual, Hamilton, Kanada, 1 - 05 Ağustos 2021 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Doi Numarası: 10.1109/aces53325.2021.00026
  • Basıldığı Şehir: Virtual, Hamilton
  • Basıldığı Ülke: Kanada
  • Anahtar Kelimeler: Conductive media, Discontinuous Galerkin time-domain method, Stability analysis
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this study, the effect of conductivity on the stability of the discontinuous Galerkin time-domain (DGTD) method, which uses Runge-Kutta (RK) or leap-frog (LF) (time-averaging, time-forward, and time-backward) schemes to integrate the Maxwell equations in time, is studied. As a test case, transient reflection from one-dimensional conductive half-space, for which the analytical solution exists, is considered. Numerical results demonstrate that the LF-DGTD schemes, which use time-averaging and time-forward, are significantly more stable and faster than the RK-DGTD scheme for problems involving conductive materials.