| 基于混合离散方式的等效原理算法精度改进 |
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| 引用本文： | 梁加南,邵汉儒,汪丽丽. 基于混合离散方式的等效原理算法精度改进[J]. 电波科学学报, 2019, 34(3): 302-308. DOI: 10.13443/j.cjors.2018081202 |
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| 作者姓名： | 梁加南 邵汉儒 汪丽丽 |
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| 作者单位： | 宁波大学信息科学与工程学院,宁波,315211;宁波大学信息科学与工程学院,宁波,315211;宁波大学信息科学与工程学院,宁波,315211 |
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| 基金项目： | 国家自然科学青年基金61501267浙江省自然科学青年基金LQ16F010003 |
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| 摘 要： | 针对等效原理算法(equivalent principle algorithm,EPA)中的单位算子采用传统数值离散方式导致精度差的问题,提出了一种混合的数值离散方式来提高计算精度.该混合离散方式将等效面上的电流用传统RWG(Rao-Wilton-Glisson)基函数展开,磁流用BC(Buffa-Christiansen)基函数展开,再分别用n×BC和n×RWG作为测试函数对电流和磁流进行测试,即在单位算子的对偶空间里对其进行测试.本文还将多层快速多极子方法(multilevelfastmultipolealgorithm,MLFMA)用于加速EPA中的矩矢相乘计算.最后通过数值算例说明了该方法的正确性和有效性.
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| 关 键 词： | 计算电磁学 积分方程 基函数 等效原理 区域分解 |
| 收稿时间： | 2018-08-12 |
Improving the accuracy of equivalence principle algorithm with mixed discretization scheme |
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| LIANG Jianan,SHAO Hanru,WANG Lili. Improving the accuracy of equivalence principle algorithm with mixed discretization scheme[J]. Chinese Journal of Radio Science, 2019, 34(3): 302-308. DOI: 10.13443/j.cjors.2018081202 |
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| Authors: | LIANG Jianan SHAO Hanru WANG Lili |
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| Affiliation: | Faculty of Electrical Engineering and Computer Science, Ningbo University, Ningbo 315211, China |
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| Abstract: | For the poor precision problem of identity operator using conventional numerical discretization in equivalent principle algorithm (EPA), a mixed discretization scheme is proposed to improve the accuracy in this paper. In the mixed discretization scheme, the electric currents on equivalence surfaces are expanded by Rao-Wilton-Glisson (RWG) basis functions and magnetic currents are expanded by Buffa-Christiansen (BC) basis functions. Then the testing functions are $ {boldsymbol{hat n}}$×BC and $ {boldsymbol{hat n}}$×RWG respectively, which means that identity operators are tested on the dual of their range. The multilevel fast multipole algorithm (MLFMA) is also used to accelerate the matrix-vector multiplication in EPA. Finally, numerical results are shown to demonstrate the accuracy and efficiency of the proposed technique. |
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| Keywords: | computational electromagnetics integral equation basis function equivalence principle domain decomposition |
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