Numerical analysis of a leapfrog ADI–FDTD method for Maxwell's equations in lossy media

Yunqing Huang, Meng Chen, Jichun Li, Yanping Lin

Research output: Journal article publicationJournal articleAcademic researchpeer-review

10 Citations (Scopus)

Abstract

Recently, a so-called one-step leapfrog ADI–FDTD method has been developed in engineering community for solving the 3D time-dependent Maxwell's equations. This method becomes quite popular in simulation wave propagation in graphene-based devices due to its efficiency. We investigate this method from a theoretical point of view by proving the energy conservation property, the unconditional stability of this ADI–FDTD method, and establishing the optimal second-order convergence rate in both time and space on non-uniform cubic grids. Numerical results are presented justifying our analysis.

Original languageEnglish
Pages (from-to)938-956
Number of pages19
JournalComputers and Mathematics with Applications
Volume76
Issue number4
DOIs
Publication statusPublished - 15 Aug 2018

Keywords

  • Alternating direction implicit method
  • FDTD method
  • Maxwell's equations

ASJC Scopus subject areas

  • Modelling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics

Cite this