We present an algorithm for the fast and accurate simulation of power/ground mesh structures. Our method is a direct (non-iterative) approach for simulation based upon a parallel matrix inversion algorithm. Through the use of additional computational resources, this distributed computing technique facilitates the simulation of large-scale power/ground networks. In addition, the new dimension of flexibility provided by our algorithm allows for a more accurate analysis of power/ground mesh structures using RLC interconnect models. Specifically, we offer a method that employs a sparse approximate inverse technique to consider more reluctance coupling terms for increased accuracy of simulation. The inclusion of additional coupling terms, however, does not lead to an increase in either time or memory requirements associated with the primary computational task in transient simulation, thus making the simulation procedure scalable. The parallel matrix inversion algorithm shows substantial computational improvement over the best known direct and iterative numerical techniques that are applicable to these large-scale simulation problems.
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