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IE-FFT Algorithm for Nonconformal Volume Integral Equation in Electromagnetic Scattering from Dielectric Objects

机译:介电物体电磁散射中非保形体积积分方程的IE-FFT算法

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This study extends the IE-FFT algorithm, which has been developed for surface integral equations to the method of moments solution of nonconformal volume integral equation in electromagnetic scattering problems. The algorithm relies on the interpolation of the Green's function by Lagrangian polynomials on a uniform Cartesian grid in 3-D. Hence the matrix-vector product in the iterative solver can be computed via the fast Fourier transform. The memory requirement and the computational complexity of the algorithm tend to stay close to O(N) andO(NlogN), respectively, where N is the number of unknowns.
机译:该研究将针对表面积分方程开发的IE-FFT算法扩展到电磁散射问题中非保形体积积分方程的矩解法。该算法依赖于在3-D的统一笛卡尔网格上通过拉格朗日多项式对格林函数进行插值。因此,可以通过快速傅立叶变换来计算迭代求解器中的矩阵向​​量乘积。该算法的内存需求和计算复杂度往往分别保持接近O(N)和O(NlogN),其中N是未知数。

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