In this article, an efficient transient electricalthermal co-simulation method based on the finite element method (FEM) and the discontinuous Galerkin time-domain (DGTD) method is developed for electrical-thermal coupling analysis of multiscale structures. Two Independent meshes are adopted by the steady electrical analysis and the transient thermal simulation to avoid redundant overhead. In order to enhance the feasibility and efficiency of solving multiscale and sophisticated structures, a local time stepping (LTS) technique coupled with an interpolation method is incorporated into the co-simulation method. Several numerical examples from simple structures to complex multiscale PDN structures are carried out to demonstrate the accuracy and efficiency of the proposed method by comparing with the COMSOL. Finally, two practical numerical examples are considered to confirm the performance of the proposed method for complex and multiscale structures.

翻译：本文提出了一种基于有限元法(FEM)和时域间断伽辽金法(DGTD)的高效瞬态电热协同仿真方法，用于多尺度结构的电热耦合分析。稳态电学分析与瞬态热仿真采用两套独立网格，以避免冗余开销。为提升多尺度及复杂结构求解的可行性与效率，协同仿真方法引入了局部时间步长(LTS)技术与插值方法的耦合。通过对比COMSOL软件，针对从简单结构到复杂多尺度PDN结构的多个数值算例，验证了所提方法的准确性与高效性。最后，通过两个实际数值算例，进一步确认了该方法在复杂多尺度结构中的性能。