利用基于浮动模板的预修正快速傅里叶 变换方法快速求解三维介质体积分方程
doi: 10.3724/SP.J.1146.2007.00652
A Fast Solution to the Volume Integral Equation for 3-D Dielectric Objects by Using the Precorrected-FFT Based on Floating Stencil
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摘要: 利用预修正快速傅里叶变换方法结合矩量法快速求解三维介质散射问题的体积分方程，并引入一种新的模板拓扑结构，将投影及插值模板由固定改为浮动，以减少直接计算和预修正的近区未知量个数。数值计算结果表明，基于浮动模板的预修正快速傅里叶变换方法可以显著减少需要进行预修正的近区未知量个数，从而减少算法的存储需求和计算时间。
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关键词:
- 预修正快速傅里叶变换方法 /
- 矩量法 /
- 体积分方程
Abstract: A fast solution to the Volume Integral Equation (VIE) for 3-D dielectric objects is implemented by using the precorrected-FFT method. A new stencil topology is presented to reduce near-zone interactions to be computed directly and precorrected, in which the projection and interpolation stencils are floating but not fixed. Numerical results show that the P-FFT method based on floating stencil can significantly reduce near-zone interactions to be precorrected, as well as memory and CPU time. -
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