Over recent decades coupled MoM/FEM formulation emerged as dominant method for solving EM scattering problems over inhomogeneous domains. Initial efforts on coupling of edge element BEM with edge element FEM have lost momentum and somehow disappeared from recent literature, possibly because of mathematical and other issues. This article, however, presents correct coupling of edge element BEM with edge element FEM. Such coupling is convenient because edge basis functions are used for modeling both the surface and the interior of the problem. We show that singularity extraction is simpler when compared with singularity extraction in MoM/FEM. Because BEM part of edge element BEM/FEM formulation uses simpler Green's function, the method is easier to implement than MoM/FEM which uses Dyadic Green's functions. The accuracy of the method is demonstrated by comparison with Mie series and with MoM/FEM and MoM/VSIE methods. Convergence of the method with respect to number of surface and interior edges was investigated by comparing 20 computational models with Mie series. Computational results suggest that edge-element BEM/FEM performs well for scattering problems involving objects with sharp corners. Finally, the ability of the method to cope with relatively large number of elements was demonstrated on the example of human head illuminated by 3.5 GHz EM plane wave.

中文翻译：

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边元边界元法/有限元法耦合时谐电磁散射问题

近几十年来，耦合 MoM/FEM 公式成为解决非均匀域上 EM 散射问题的主要方法。边缘元素边界元法与边缘元素有限元法耦合的最初努力已经失去动力，并以某种方式从最近的文献中消失，可能是因为数学和其他问题。然而，本文介绍了边缘元素 BEM 与边缘元素 FEM 的正确耦合。这种耦合很方便，因为边基函数用于对问题的表面和内部进行建模。我们表明，与 MoM/FEM 中的奇异点提取相比，奇异点提取更简单。由于边元 BEM/FEM 公式的 BEM 部分使用更简单的格林函数，因此该方法比使用 Dyadic Green 函数的 MoM/FEM 更容易实现。通过与 Mie 系列以及 MoM/FEM 和 MoM/VSIE 方法的比较，证明了该方法的准确性。通过将 20 个计算模型与 Mie 系列进行比较，研究了该方法在表面和内部边缘数量方面的收敛性。计算结果表明，边缘元边界元法/有限元法对于涉及具有尖角的物体的散射问题表现良好。最后，以 3.5 GHz EM 平面波照射人体头部为例，证明了该方法处理相对大量元素的能力。计算结果表明，边缘元边界元法/有限元法对于涉及具有尖角的物体的散射问题表现良好。最后，以 3.5 GHz EM 平面波照射人体头部为例，证明了该方法处理相对大量元素的能力。计算结果表明，边元边界元法/有限元法对于涉及具有尖角的物体的散射问题表现良好。最后，以 3.5 GHz EM 平面波照射人体头部为例，证明了该方法处理相对大量元素的能力。