An Unconditionally Stable One-Step Arbitrary-Order Leapfrog ADI-FDTD Method and Its Numerical Properties

被引：86

作者：

Yang, Shun-Chuan ^{[1
]}

Chen, Zhizhang ^{[2
]}

Yu, Yiqiang ^{[2
,3
]}

Yin, Wen-Yan ^{[1
]}

机构：

[1] Zhejiang Univ, Ctr Opt & Electromagnet Res, Natl State Key Lab Modern Opt Instrumentat, Hangzhou 310003, Zhejiang, Peoples R China

[2] Dalhousie Univ, Dept Elect & Comp Engn, Halifax, NS B3J 2X4, Canada

[3] E China Jiao Tong Univ, Nanchang, Jiangxi, Peoples R China

来源：

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2012年 / 60卷 / 04期

基金：

美国国家科学基金会;

关键词：

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; DISPERSION ANALYSIS; ALGORITHM; STABILITY; SCHEME;

D O I：

10.1109/TAP.2012.2186249

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

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.

引用

页码：1995 / 2003

页数：9

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