一种网格鲁棒高阶向量基快速IE-FFT算法

Feng Xiang, Jun Hu, Yi Jiliang, N. Zaiping
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引用次数: 1

摘要

本文提出了网格鲁棒高阶向量基函数的积分方程快速傅里叶变换(IE-FFT)。利用磁场积分方程求解三维闭合完美电导体的散射问题。传统的基于相邻元素公边的基函数需要进行保形网格划分。对于大型电气、复杂的几何结构,这是非常严格的要求。采用网格鲁棒的高阶向量基函数代替保形网格,保持了几何建模的灵活性。在此基础上,利用IE-FFT算法加快了MFIE的求解速度。与传统的RWG基函数相比,该方法的插值误差更小,填充过程更简单。
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A fast IE-FFT algorithm with grid-robust higher order vector basis
In this paper, the integral equation — fast Fourier transformation (IE-FFT) with grid-robust higher order vector basis functions is presented. The magnetic field integral equation (MFIE) is used for solving scattering from three-dimensional closed perfectly electric conductor (PEC). Conformal mesh is required for traditional basis function based on common edges between adjacent elements. This is very rigorous requirement for large electrical, complicated geometry. Instead of conformal mesh, a grid-robust higher order vector basis function keeps the flexibility of geometry modeling. Further, the IE-FFT algorithm is used to accelerate the solution of MFIE. Compared with traditional RWG basis function, the present method has much lower error of interpolation, the filling process will be simpler.
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