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A direct finite element solver of linear complexity for large-scale 3-D circuit extraction in multiple dielectrics

Published:29 May 2013Publication History

ABSTRACT

We develop a direct finite-element solver of linear (optimal) complexity to extract broadband circuit parameters such as S-parameters of arbitrarily shaped 3-D interconnects in inhomogeneous dielectrics. Numerical experiments demonstrate a clear advantage of the proposed solver as compared with existing finite-element solvers that employ state-of-the-art direct sparse matrix solutions. A linear complexity in both CPU time and memory consumption is achieved with prescribed accuracy satisfied. A finite-element matrix from the analysis of a large-scale 3-D circuit in multiple dielectrics having 5.643 million unknowns is directly factorized in less than 2 hours on a single core running at 2.8 GHz.

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  1. A direct finite element solver of linear complexity for large-scale 3-D circuit extraction in multiple dielectrics

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    • Published in

      cover image ACM Conferences
      DAC '13: Proceedings of the 50th Annual Design Automation Conference
      May 2013
      1285 pages
      ISBN:9781450320719
      DOI:10.1145/2463209

      Copyright © 2013 ACM

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      Association for Computing Machinery

      New York, NY, United States

      Publication History

      • Published: 29 May 2013

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