用罗宾汉算法求解微、宏观尺度静电场
Solving for Micro- and Macro- Scale Electrostatic Configurations Using the Robin Hood Algorithm
摘要:
我们提出了一种新的技术,高度分段的静电配置可以解决。罗宾汉法是一种求解高密度边界元问题的矩阵求逆算法。我们通过研究两个不同的几何尺度来说明该求解器的能力:(a)大体积β检测器的静电势和(b)电极纳米结构表面处存在的场增强。元素编号为O(10^5)的几何很容易建模和求解,而不会损失精度。该技术最近已扩展到包括磁性材料和磁性材料。
英文摘要:
We present a novel technique by which highly-segmented electrostatic configurations can be solved. The Robin Hood method is a matrix-inversion algorithm optimized for solving high density boundary element method (BEM) problems. We illustrate the capabilities of this solver by studying two distinct geometry scales: (a) the electrostatic potential of a large volume beta-detector and (b) the field enhancement present at surface of electrode nano-structures. Geometries with elements numbering in the O(10^5) are easily modeled and solved without loss of accuracy. The technique has recently been expanded so as to include dielectrics and magnetic materials.
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