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Coarse Grid Higher-Order FDTD Algorithm with Low Dispersion Errors

机译:具有低色散误差的粗网格高阶FDTD算法

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Higher-Order FDTD schemes used for numericallysolving Maxwell's equations are based on constant coefficients for the four-point central-difference operators. They are also focused on diminishing truncation errors. We propose an alternative way to better solve Maxwell's equations. For such purpose, we present a method to individually optimize the coefficients, C_(1) and C_(2), based on the grid size resolution and the time step size. Particularly, we are interested in using coarser grid sizes in order to be able to simulate electrically large domains. Achieved results of our novel optimization scheme, show a significant reduction in errors for any given grid size resolution.
机译:用于数字氧化麦克斯韦方程式的高阶FDTD方案基于四点中心差分运算符的恒定系数。它们也集中在缩短截断误差。我们提出了一种更好地解决Maxwell方程的替代方法。出于这种目的,我们介绍了一种基于网格尺寸分辨率和时间步长来单独优化系数,C_(1)和C_(2)的方法。特别是,我们有兴趣使用较粗糙的网格尺寸,以便能够模拟电动大域。实现了我们的新颖优化方案的结果,显示出任何给定的网格尺寸解决方案的错误显着降低。

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