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首页> 外文期刊>Applied Computational Electromagnetics Society journal >A Succinct Explicit Local Time-Stepping Method for Helmholtz Wave Equation Based Discontinuous Galerkin Time Domain Method for 3-D Multiscale Electromagnetic Modeling
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A Succinct Explicit Local Time-Stepping Method for Helmholtz Wave Equation Based Discontinuous Galerkin Time Domain Method for 3-D Multiscale Electromagnetic Modeling

机译：基于Helmholtz波动方程的不连续Galerkin时域方法的简洁显式局部时步法用于3-D多尺度电磁建模

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摘要

A succinct explicit local time-stepping (LTS) method for Helmholtz wave equation based discontinue Galerkin time domain method has been developed to analyze 3-D multiscale electromagnetic problems. In the proposed LTS scheme, a simple linear interpolation procedure is implemented to calculate the fields in the subdomain with the larger mesh size at the time steps corresponding to its neighboring subdomains with the smaller mesh size, and thus the proposed method can be easily generalized to the situation of the multiple subdomains with arbitrary time step ratio. With the proposed LTS method, the computational efficiency can be improved for the analysis of the multiscale problems. Several numerical examples including dielectric loaded resonance cavity, microstrip filter, and Vivaldi antenna are given to illustrate good performance of the proposed succinct explicit LTS method.
机译：针对基于Helmholtz波动方程的不连续Galerkin时域方法，开发了一种简洁的显式局部时步（LTS）方法来分析3-D多尺度电磁问题。在提出的LTS方案中，实现了一种简单的线性插值过程，以在网格尺寸较大的子域中与对应的网格尺寸较小的相邻子域相对应的时间步长计算字段，因此该方法可以很容易地推广到任意时间步长比的多个子域的情况。使用所提出的LTS方法，可以提高分析多尺度问题的计算效率。给出了包括介电负载谐振腔，微带滤波器和Vivaldi天线在内的几个数值示例，以说明所提出的简洁显式LTS方法的良好性能。

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