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

Yunqing Huang; Meng Chen; Jichun Li; Yanping Lin

doi:10.1016/j.camwa.2018.05.032

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 publication › Journal article › Academic research › peer-review

29 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 language	English
Pages (from-to)	938-956
Number of pages	19
Journal	Computers and Mathematics with Applications
Volume	76
Issue number	4
DOIs	https://doi.org/10.1016/j.camwa.2018.05.032
Publication status	Published - 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

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

More information

10.1016/j.camwa.2018.05.032

Cite this

@article{2af0d0cccce542118db7f14274712e27,

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

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.",

keywords = "Alternating direction implicit method, FDTD method, Maxwell's equations",

author = "Yunqing Huang and Meng Chen and Jichun Li and Yanping Lin",

year = "2018",

month = aug,

day = "15",

doi = "10.1016/j.camwa.2018.05.032",

language = "English",

volume = "76",

pages = "938--956",

journal = "Computers and Mathematics with Applications",

issn = "0898-1221",

publisher = "Elsevier Ltd",

number = "4",

}

TY - JOUR

T1 - Numerical analysis of a leapfrog ADI–FDTD method for Maxwell's equations in lossy media

AU - Huang, Yunqing

AU - Chen, Meng

AU - Li, Jichun

AU - Lin, Yanping

PY - 2018/8/15

Y1 - 2018/8/15

N2 - 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.

AB - 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.

KW - Alternating direction implicit method

KW - FDTD method

KW - Maxwell's equations

UR - http://www.scopus.com/inward/record.url?scp=85048763606&partnerID=8YFLogxK

U2 - 10.1016/j.camwa.2018.05.032

DO - 10.1016/j.camwa.2018.05.032

M3 - Journal article

SN - 0898-1221

VL - 76

SP - 938

EP - 956

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 4

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

UN SDGs

More information

Other files and links

Fingerprint

Cite this