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首页> 外文期刊>Antennas and Propagation, IEEE Transactions on >Interior Penalty Discontinuous Galerkin Time-Domain Method Based on Wave Equation for 3-D Electromagnetic Modeling
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Interior Penalty Discontinuous Galerkin Time-Domain Method Based on Wave Equation for 3-D Electromagnetic Modeling

机译：基于波动方程的内部罚分时不连续Galerkin时域方法进行3-D电磁建模

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摘要

Built on the vector wave equation, an interior penalty discontinuous Galerkin time domain (IPDG-WE) method is presented for 3-D real-life electromagnetic modeling in this paper. We develop the interior penalty fluxes corresponding to different types of boundary conditions which are commonly used in electromagnetic modeling to construct the IPDG-WE system in local elements. In addition, to model the incident wave excitation, the total-field/scattered-field approach is incorporated into the proposed method. The stability of the IPDG-WE method is studied analytically and demonstrated numerically. We also compare the performance between wave equation-based finite-element time-domain method, the Maxwell's equation-based discontinuous Galerkin time-domain method, and the proposed method, both in CPU time and memory usage, which demonstrates that the IPDG-WE method is very competitive among time-domain solvers. Besides, the presented method shows good characteristics including the energy conservation and the optimal convergence rate of O(hp+1). Numerical examples are presented to illustrate the validity, versatility, and potential of the proposed method in 3-D electromagnetic problems modeling.
机译：本文基于矢量波方程，提出了一种内部罚子不连续Galerkin时域（IPDG-WE）方法，用于3-D真实电磁建模。我们开发了与不同边界条件类型相对应的内部罚磁通量，它们通常在电磁建模中用于在局部元素中构建IPDG-WE系统。另外，为了对入射波激发进行建模，将全场/散射场方法合并到所提出的方法中。通过分析研究了IPDG-WE方法的稳定性，并进行了数值模拟。我们还比较了基于波动方程的有限元时域方法，基于麦克斯韦方程的不连续Galerkin时域方法和所提出的方法在CPU时间和内存使用方面的性能，这表明IPDG-WE该方法在时域求解器中非常有竞争力。此外，该方法具有良好的节能性和O（h p + 1 ）的最优收敛速度等特点。数值例子表明了该方法在3-D电磁问题建模中的有效性，通用性和潜力。

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