基于笛卡尔多极数值积分的三维电容提取

U. Geigenmuller, N. P. van der Meijs
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引用次数: 3

摘要

将层次Schur算法应用于三维电容提取的边界元法,将速度瓶颈从影响矩阵的反演转移到影响矩阵的计算。我们展示了后者所需的数值积分如何在笛卡尔公式中的多极展开的帮助下被加速一个数量级。该方案与FASTCAP提取器有本质上的不同。
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Cartesian multipole based numerical integration for 3D capacitance extraction
Application of the hierarchical Schur algorithm to the boundary element method for 3D capacitance extraction shifts the speed bottleneck from inversion of the influence matrix to its calculation. We show how the numerical integration required for the latter can be accelerated by an order of magnitude with the aid of a multipole expansion in Cartesian formulation. The scheme differs essentially from that of the FASTCAP extractor.
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