An efficient finite element method-boundary element method (FEM-BEM) is proposed for electromagnetic analysis of inhomogeneous objects. The problem domain is discretized and evaluated with FEM, and the BEM introduces a truncated boundary on the surface of the domain utilizing boundary integral equations (BIEs) technique. To guarantee the precision, much dense discretization is usually required when modeling and simulating the inhomogeneous media, which will lead to a large and dense impedance matrix from the BEM part. Therefore, the nested complex source beam (NCSB) method is proposed in the FEM-BEM system to accelerate the evaluation of the BIEs, where the interaction between far-field groups is equivalent to that of the complex source beams located on the equivalent sphere of each group in an aggregation, translation and disaggregation process. Furthermore, the adaptive grouping technique for the NCSB is employed to improve the performance of the solution. Numerical results show the efficiency of the proposed method.

提出了一种有效的有限元法-边界元法（FEM-BEM）用于非均匀物体的电磁分析。问题域被离散化并使用 FEM 进行评估，BEM 利用边界积分方程 (BIE) 技术在域的表面引入了截断边界。为保证精度，在对非均匀介质进行建模和仿真时，通常需要大量的密集离散，这将导致边界元部分的阻抗矩阵大而密集。因此，在 FEM-BEM 系统中提出嵌套复源光束 (NCSB) 方法来加速 BIE 的评估，其中远场群之间的相互作用等效于位于等效球面上的复源光束的相互作用。聚合、翻译和分解过程中的每个组。此外，NCSB 的自适应分组技术用于提高解决方案的性能。数值结果表明了所提出方法的有效性。