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：本文基于有限元方法（FEM）和不连续Galerkin时域（DGTD）方法开发了一种高效的瞬态电热协同仿真方法，用于多尺度结构的电热耦合分析。稳态电分析和瞬态热仿真采用两个独立的网格，以避免冗余开销。为了增强求解多尺度和复杂结构的可行性和效率，加入了一个与插值方法耦合的局部时间步进技术（LTS）技术。通过将数值实例从简单结构到复杂多尺度PDN结构进行比较，证明了所提出方法的准确性和效率，并进行了两个实际的数值实例以确认所提出方法在复杂和多尺度结构中的性能。