非均匀网格(NG)快速电容提取算法

A. Boag, B. Livshitz
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引用次数: 10

摘要

提出了一种计算任意形状三维几何电容矩阵的新方法。该方法将相关积分方程的迭代解与非均匀网格(NG)算法相结合,用于快速计算给定源分布的电位。NG方法是基于这样的观察,即有限大小的源产生的局部势可以从非均匀球形网格的少量点的样本中插值出来。这一观察结果导致了包含插值和势聚集的多级算法。所得到的分层算法的渐近复杂度为0 (N)。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Non-uniform grid (NG) algorithm for fast capacitance extraction
A novel approach for computing the capacitance matrices of arbitrary shaped three-dimensional geometries is presented. The proposed approach combines an iterative solution of the pertinent integral equations with the non-uniform grid (NG) algorithm for fast evaluation of potentials due to given source distributions. The NG approach is based on the observation that locally the potential produced by a finite size source can be interpolated from its samples at a small number of points of a non uniform spherical grid. This observation leads to a multilevel algorithm comprising interpolation and aggregation of potentials. The resulting hierarchical algorithm attains an O(N) asymptotic complexity.
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