In recent years, the characteristic basis function method has been developed as an efficient approach for the solution of large electromagnetic radiation or scattering problems. According to this technique, the currents over the scenario under analysis are defined using a set of pre-computed characteristic basis functions, associated with a number of blocks into which the geometry is partitioned. This involves some computational advantages due to the reduction of the number of unknowns compared to conventional approaches. However, additional pre-processing time is introduced due to the computation of the CBFs and the reduced coupling matrix. A novel strategy is presented in this study in order to accelerate the generation of the reduced matrix, based on the application of the multilevel fast multipole algorithm.

中文翻译：

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电大块的MLFMA–CBFM约简矩阵的高效计算

近年来，特征基函数方法已经发展成为解决大型电磁辐射或散射问题的有效方法。根据该技术，使用一组预先计算的特征基函数定义与分析场景有关的电流，这些特征基函数与将几何图形分割成的多个块相关联。与传统方法相比，由于减少了未知数，因此具有一些计算优势。然而，由于CBF的计算和减少的耦合矩阵，引入了额外的预处理时间。在这项研究中提出了一种新颖的策略，以基于多级快速多极子算法的应用来加速简化矩阵的生成。