An unconditionally stable one-step arbitrary-order leapfrog ADI-FDTD method and its numerical properties

Shun Chuan Yang; Zhizhang David Chen; Yiqiang Yu; Wen Yan Yin

doi:10.1109/TAP.2012.2186249

An unconditionally stable one-step arbitrary-order leapfrog ADI-FDTD method and its numerical properties

Shun Chuan Yang^*
, Zhizhang David Chen
, Yiqiang Yu
, Wen Yan Yin

^*Corresponding author for this work

Zhejiang University
Dalhousie University
East China Jiaotong University

Research output: Contribution to journal › Article › peer-review

98 Scopus citations

Abstract

An one-step arbitrary-order leapfrog alternating-direction-implicit finite-difference time-domain (ADI-FDTD) method is presented. Its unconditional stability is analytically proven and numerically verified. Its numerical properties are shown to be identical to those of the conventional ADI-FDTD and LOD-FDTD methods. However, its computational expenditure is found to be the lowest. In other words, in comparison with the ADI-FDTD and LOD-FDTD methods, the one-step arbitrary-order leap-frog ADI-FDTD method retains identical numerical modeling accuracy but with higher computational efficiency.

Original language	English
Article number	6142019
Pages (from-to)	1995-2003
Number of pages	9
Journal	IEEE Transactions on Antennas and Propagation
Volume	60
Issue number	4
DOIs	https://doi.org/10.1109/TAP.2012.2186249
State	Published - Apr 2012
Externally published	Yes

Keywords

Alternating-direction-implicit finite-difference time-domain (ADI-FDTD) method
arbitrary order
leapfrog
locally-one-dimensional finite-difference time-domain (LOD-FDTD) method
numerical dispersion
one-step
unconditional stability

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10.1109/TAP.2012.2186249

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title = "An unconditionally stable one-step arbitrary-order leapfrog ADI-FDTD method and its numerical properties",

abstract = "An one-step arbitrary-order leapfrog alternating-direction-implicit finite-difference time-domain (ADI-FDTD) method is presented. Its unconditional stability is analytically proven and numerically verified. Its numerical properties are shown to be identical to those of the conventional ADI-FDTD and LOD-FDTD methods. However, its computational expenditure is found to be the lowest. In other words, in comparison with the ADI-FDTD and LOD-FDTD methods, the one-step arbitrary-order leap-frog ADI-FDTD method retains identical numerical modeling accuracy but with higher computational efficiency.",

keywords = "Alternating-direction-implicit finite-difference time-domain (ADI-FDTD) method, arbitrary order, leapfrog, locally-one-dimensional finite-difference time-domain (LOD-FDTD) method, numerical dispersion, one-step, unconditional stability",

author = "Yang, \{Shun Chuan\} and Chen, \{Zhizhang David\} and Yiqiang Yu and Yin, \{Wen Yan\}",

year = "2012",

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doi = "10.1109/TAP.2012.2186249",

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T1 - An unconditionally stable one-step arbitrary-order leapfrog ADI-FDTD method and its numerical properties

AU - Yang, Shun Chuan

AU - Chen, Zhizhang David

AU - Yu, Yiqiang

AU - Yin, Wen Yan

PY - 2012/4

Y1 - 2012/4

N2 - An one-step arbitrary-order leapfrog alternating-direction-implicit finite-difference time-domain (ADI-FDTD) method is presented. Its unconditional stability is analytically proven and numerically verified. Its numerical properties are shown to be identical to those of the conventional ADI-FDTD and LOD-FDTD methods. However, its computational expenditure is found to be the lowest. In other words, in comparison with the ADI-FDTD and LOD-FDTD methods, the one-step arbitrary-order leap-frog ADI-FDTD method retains identical numerical modeling accuracy but with higher computational efficiency.

AB - An one-step arbitrary-order leapfrog alternating-direction-implicit finite-difference time-domain (ADI-FDTD) method is presented. Its unconditional stability is analytically proven and numerically verified. Its numerical properties are shown to be identical to those of the conventional ADI-FDTD and LOD-FDTD methods. However, its computational expenditure is found to be the lowest. In other words, in comparison with the ADI-FDTD and LOD-FDTD methods, the one-step arbitrary-order leap-frog ADI-FDTD method retains identical numerical modeling accuracy but with higher computational efficiency.

KW - Alternating-direction-implicit finite-difference time-domain (ADI-FDTD) method

KW - arbitrary order

KW - leapfrog

KW - locally-one-dimensional finite-difference time-domain (LOD-FDTD) method

KW - numerical dispersion

KW - one-step

KW - unconditional stability

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U2 - 10.1109/TAP.2012.2186249

DO - 10.1109/TAP.2012.2186249

M3 - 文章

AN - SCOPUS:84859788989

SN - 0018-926X

VL - 60

SP - 1995

EP - 2003

JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

IS - 4

M1 - 6142019

ER -

An unconditionally stable one-step arbitrary-order leapfrog ADI-FDTD method and its numerical properties

Abstract

Keywords

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