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

An Unconditionally Stable One-Step Arbitrary-Order Leapfrog ADI-FDTD Method and Its Numerical Properties
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一种无条件稳定单步任意阶蛙跳ADI-FDTD方法及其数值性质

DOI:
10.1109/tap.2012.2186249
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发表时间:
2012-01
影响因子:
5.7
通讯作者:
Wen-Yan Yin
Wen-Yan Yin
中科院分区:
计算机科学2区
文献类型:
--
作者:
Shun-Chuan Yang;Zhizhang Chen;Yiqiang Yu;Wen-Yan Yin

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提出了一步任意的跨越方向性差异差异时间域(ADI-FDTD)方法。它的无条件稳定性经过分析证明和数值验证。它的数值特性被证明是相同的
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.
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