非平面上超奇异积分的求值

2014 International Conference on Numerical Electromagnetic Modeling and Optimization for RF, Microwave, and Terahertz Applications (NEMO) Pub Date : 2014-05-14 DOI:10.1109/NEMO.2014.6995683

G. Selcuk, S. Koc

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引用次数: 4

摘要

利用Nyström方法求解电场积分方程(EFIE)，由于该方法不使用散度符合基和测试函数，需要对超奇异曲面积分进行精确的求值。该方法的成功还取决于散射物体的非平面特征的准确表示。本研究利用Hadamard有限部分解释来求非平面上的超奇异积分，这些积分由泰勒级数展开表示。通过数值试验验证了公式的有效性。同时还解决了散射问题，验证了算法的准确性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Evaluation of hypersingular integrals on non-planar surfaces

Solving electric field integral equation (EFIE) with Nyström method requires accurate evaluation of hypersingular surface integrals since this method does not use divergence conforming basis and testing functions. The success of the method also depends on accurate representation of non-planar characteristics of the scattering object. In this study Hadamard finite part interpretation is used to evaluate hypersingular integrals over non-planar surfaces, which are represented by their Taylor series expansions. Numerical tests are conducted to show the effectiveness of the formulas. Also a scattering problem is solved which confirms the accuracy.

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2014 International Conference on Numerical Electromagnetic Modeling and Optimization for RF, Microwave, and Terahertz Applications (NEMO)

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