Plenary Talk2

The rapid progress in wireless communication systems demands advanced computational tools to model electromagnetic phenomena across multiple scales, from intricate antenna designs to large-scale propagation environments. This presentation introduces a new multiscale computational electromagnetics framework that combines the Discontinuous Galerkin (DG) method with the Finite Element Spectral Integral (FESI) method and Spectral Element Method (SEM). The DG method integrates specialized solvers—such as FEM for fine-scale features, SEM for intermediate domains, and SIM for large-scale propagation—ensuring accuracy and efficiency for multiscale problems. The FESI method enhances FEM by enforcing exact radiation boundary conditions on smooth, conforming surfaces, eliminating far-field approximations. Together, DG and FESI achieve seamless multiscale integration, resolving sub-wavelength details and electrically large domains with high fidelity. Applications include optimizing antenna radiation patterns on complex platforms and modeling wave propagation over long distances. Leveraging domain decomposition and high-performance computing, this framework scales to problems with a large number of unknowns, offering a robust solution for next-generation electromagnetic simulations. Preliminary results show significant improvements in accuracy and efficiency over traditional methods, particularly for multiscale scenarios. This presentation explores the theoretical foundations of DG and FESI, their implementation in antenna and propagation challenges, and their potential to advance 5G/6G technologies.