The 2-D/3-D hybrid discontinuous Galerkin time-domain (DGTD) method is efficient to deal with structures that contain elements capable of 2-D simplification. To separate 2-D elements from 3-D ones, a criterion for approximation error manipulation is required. However, in the latest reported technique, this kind of criterion is derived from the causality principle and the Courant-Freidrichs-Lewy constraint, and thus is indirect and inessential to 2-D simplification. As a result, some elements capable of 2-D simplification are unnecessarily flagged as 3-D ones, deteriorating efficiency dramatically. Moreover, controlling absolute error, the traditional criterion is not flexible for structures with complex mode distribution. In this paper, a novel criterion is proposed. Compared with the traditional one, this new criterion controls comparative error instead of absolute error, thus enhancing accuracy and flexibility. Besides, for the time-adaptive updating algorithm, the proposed criterion is derived directly from the discretized matrix equations of the DGTD method, rendering it straightforward and efficient. Finally, the 2-D/3-D DGTD with the proposed criterion is integrated with the modified nodal analysis technique for the analysis of power-ground plate pairs with decoupling capacitors. The accuracy, flexibility, and efficiency enhancement of the proposed criterion are demonstrated by comparison with commercial software and the traditional method.


Electrical and Computer Engineering


Sichuan Province Science and Technology Support Program, Grant 61701083

Keywords and Phrases

2-D/3-D hybrid; Adaptive criterion; discontinuous Galerkin time-domain (DGTD) method; domain decomposition; error controlling; modified nodal analysis (MNA)/DGTD; power ground

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Article - Journal

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Publication Date

01 Apr 2018