电波科学学报2018，Vol.33Issue(1)：33-40,8.DOI:10.13443/j.cjors.2017080601
改进的二维三维混合时域不连续伽辽金方法
An improved 2D/3D hybrid discontinuous Galerkin time domain method
摘要
Abstract
Power integrity (PI) problem is essential when analyzing high speed signal passing through power ground. The fundamental mode in power ground is the zero-order parallel plate mode, which is capable for 2D simplification. However, in areas around anti-pads and other z-axis discontinuities, 3D algorithm has to be adopted to improve the accuracy. A hybrid 2D/3D discontinuous Galerkin time domain (DGTD) method has advantage on both accuracy and efficiency, thus is effective to cope with such full wave simulations. The 2D and 3D domains share the same triangular prism mesh. With appropriated basis functions, different domains can couple with each other efficiently. As the electromagnetic wave propagates, the 2D/3D domain decomposition is dependent both on space and time. This work proposes an improved adaptive criterion which monitors the field at every time step, thus updates the 2D/3D domain dynamically. Unlike the state-of-the-art technique controlling absolute error, the proposed criterion controls comparative error. This method is both high efficient and accurate, and flexible for various kinds of structures. Some numerical examples are demonstrated to validate the proposed method. Comparisons with commercial software are also given.关键词
二维三维混合/自适应判据/时域不连续伽辽金/区域分解/模式分解/误差控制/电源完整性/电源板/导孔建模Key words
2D/3D hybrid/adaptive criterion/discontinuous Galerkin time domain (DGTD)/domain decomposition/mode decomposition/error controlling/power integrity (PI)/power ground/vias modelling分类
信息技术与安全科学引用本文复制引用
买文鼎,郝文曲,李平,刘露,胡俊..改进的二维三维混合时域不连续伽辽金方法[J].电波科学学报,2018,33(1):33-40,8.基金项目
国家自然科学基金杰青项目 (61425010) （61425010）
长江学者项目 （）
四川省科技厅重点研发项目 （）
国家自然科学基金创新群体项目 (61721001) （61721001）
