重心细分法在矩法数值积分中的应用

Chunwang Xiang, Xunwang Dang, Maokun Li, Fan Yang, Shenheng Xu
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引用次数: 0

摘要

本文研究了三维曲面积分方程数值积分的质心细分方法。该方法通过避免源积分和场积分的正交点重叠,使奇异积分和非奇异积分得到统一处理。研究了该方法对奇异积分的收敛性。数值算例表明,该方法可以达到矩量法的精度。该方法将矩阵的建立时间缩短了一半,从而提高了矩量法的计算效率。
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The Application of Barycentric Subdivision Method for Numerical Integration in Method of Moments
In this study, we investigate the barycentric subdivision method for numerical integration in three-dimensional surface integral equation. This method allows a uniform treatment of both singular and non-singular integrals by avoiding overlap between the quadrature points of source integral and field integral. We studied the convergence of this method for singular integration. Numerical examples also show that this method could achieve the same level of accuracy for method of moments. Moreover, this method can reduce the time of matrix setup by half and hence increase the computational efficiency of method of moments.
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