On the formulation of hybrid finite-element and boundary-integral methods for 3-D scattering
On the formulation of hybrid finite-element and boundary-integral methods for 3-D scattering
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DOI：
10.1109/8.662648
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发表时间：
1998-03
影响因子：
5.7
通讯作者：
X. Sheng;Jianming Jin;Jiming Song;Caicheng Lu;W. Chew
中科院分区：
文献类型：
--
作者：
X. Sheng;Jianming Jin;Jiming Song;Caicheng Lu;W. Chew
本文详细研究了非均匀目标三维电磁散射问题的有限元-边界积分混合方法。结果表明，FE-BI方法的效率和精度在很大程度上取决于制定和离散的边界积分方程（BIE）使用。矩阵条件数的简单分析确定了不同的FE-BI配方的效率和加权函数的分析表明，传统的FE-BI配方不能产生准确的解决方案。数值结果表明，该方法具有较高的效率和精度，且完全不受内共振问题的影响。最后，多层快速多极子算法（MLFMA），显着降低所提出的FE-BI方法的内存需求和计算复杂度。
This paper studies, in detail, a variety of formulations for the hybrid finite-element and boundary-integral (FE-BI) method for three-dimensional (3-D) electromagnetic scattering by inhomogeneous objects. It is shown that the efficiency and accuracy of the FE-BI method depends highly on the formulation and discretization of the boundary-integral equation (BIE) used. A simple analysis of the matrix condition number identifies the efficiency of the different FE-BI formulations and an analysis of weighting functions shows that the traditional FE-BI formulations cannot produce accurate solutions. A new formulation is then proposed and numerical results show that the resulting solution has a good efficiency and accuracy and is completely immune to the problem of interior resonance. Finally, the multilevel fast multipole algorithm (MLFMA) is employed to significantly reduce the memory requirement and computational complexity of the proposed FE-BI method.