A Doubly Hierarchical MoM for High-Fidelity Modeling of Multiscale Structures

We propose a novel doubly hierarchical method of moments for the analysis of large and multiscale structures. A reciprocal multilevel matrix compression method (rMLMCM) is combined with the multilevel fast multipole algorithm (MLFMA), and they are used for the small-scale and large-scale cluster interactions, respectively. The resulting system is preconditioned following the hierarchical multiresolution-incomplete LU approach, which has proven successful for solving multiscale complex structures. The proposed method is applied to electromagnetic compatibility analysis of the real life, complex structures. Numerical results demonstrate the proposed preconditioned rMLMCM/MLFMA is effective also for large structures with strongly nonuniform discretization.