论文标题

无分散散发矢量无网格的方法用于分析频率依赖性培养基

Dispersive Divergence-Free Vector Meshless Method for Analysis of Frequency-Dependent Medium

论文作者

Shams, Sheyda, Movahhedi, Masoud

论文摘要

具有标量基函数的色散无网格方法已成功地用于分析频率依赖培养基。但是,由于在没有来源的情况下,由于基于标量的无网格方法并非总是无差异,因此结果可能会在结果中找到不准确甚至错误的解决方案。为了克服这个问题,在本文中,提出了具有矢量基函数的无网状方法的新配件来分析分散材料。该方法的无差异性能通过消除由于数值分析而产生的人工电荷来提高模拟的准确性。此外,使用辅助分化方程(ADE)方法对色散介质的频率行为进行建模。通过数值示例,验证了所提出方法的效率和无差异特性,并将其与带有标量基函数的无分散方法进行比较。

The dispersive meshless method with scalar basis function has been successfully applied for analysis of frequency dependent media. However, as scalar based meshless methods are not always divergence-free in the absence of source,inaccurate or even wrong solutions may be found in the results. To overcome this problem, in this paper, a new dispersive formulation of meshless method with vector basis function is proposed for analysis of dispersive materials. The divergence free property of this method improves the accuracy of simulation by eliminating the artificial charges generated due to the numerical analysis. Moreover, the frequency behavior of the dispersive medium is modeled using auxiliary-differential equations (ADE) method. The efficiency and divergence-free property of the proposed method are verified and compared with dispersive meshless method with scalar basis function by a numerical example.

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