Efficient capacitance solver for 3D interconnect based on template-instantiated basis functions

Abstract

In this paper we show how the highly restrictive design rules of the recent sub-micro to nano-scale integrated circuit technologies allow to use a limited number of pre-computed surface charge distributions as a set of fundamental template basis functions in an efficient integral equation based 3D capacitance solver. Several examples verify that our solver can achieve final accuracies of less than 2% using 5times to 30times fewer unknowns than standard piecewise constant basis functions for the same accuracy, resulting in up to 25times speedups.