A hybrid Krylov-subspace-exponential and finite-difference time integration approach for multiscale electromagnetic simulations

• Jiawei Wang ^[1] ; Feng Chen ^[1] ; Jinghui Shao ^[1] ; Weichen Zhang ^[1] ; Xikui Ma ^[1]
  1. [1] Xi’an Jiaotong University
• Localización: Compel: International journal for computation and mathematics in electrical and electronic engineering, ISSN 0332-1649, Vol. 36, Nº 6 (Special Issue: ICEF 2016), 2017, págs. 1623-1641
• Idioma: inglés
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• Resumen

  • Purpose This paper aims to present a novel hybrid time integration approach for efficient numerical simulations of multiscale problems involving interactions of electromagnetic fields with fine structures.

    Design/methodology/approach The entire computational domain is discretized with a coarse grid and a locally refined subgrid containing the tiny objects. On the coarse grid, the time integration of Maxwell’s equations is realized by the conventional finite-difference technique, while on the subgrid, the unconditionally stable Krylov-subspace-exponential method is adopted to breakthrough the Courant–Friedrichs–Lewy stability condition.

    Findings It is shown that in contrast with the conventional finite-difference time-domain method, the proposed approach significantly reduces the memory costs and computation time while providing comparative results.

    Originality/value An efficient hybrid time integration approach for numerical simulations of multiscale electromagnetic problems is presented.