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A parallel low-rank multilevel matrix compression algorithm for parasitic extraction of electrically large structures

Authors:

Chuanyi Yang,

Swagato Chakraborty,

Dipanjan Gope,

Vikram JandhyalaAuthors Info & Claims

DAC '06: Proceedings of the 43rd annual Design Automation Conference

Pages 1053 - 1056

https://doi.org/10.1145/1146909.1147173

Published: 24 July 2006 Publication History

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Abstract

Simulation of distributed electromagnetic effects of electrically large structures is no longer a luxury but a necessity in the accurate prediction of modern day circuit performance. In this regard, integral equation based methods have steadily gained in popularity but suffer from the time and memory bottlenecks arising from the resultant dense matrix. Fast linear complexity solvers have been introduced in the past but with the growing complexity of circuit layouts parallel implementations are the only viable options in addressing practical circuit layouts. In this paper, we present a parallel implementation of the low-rank compression based fast solver with linear cost reduction capacity with respect to the number of processors. The main problems in parallelizing a hierarchical algorithm are discussed and the advantages of the implemented scheme are highlighted. The new solver enables the simulation of full-chip problems consisting of millions of unknowns with acceptable accuracy and modest time and memory requirements.

References

[1]

R. Coifman, V. Rokhlin and S. Wandzura, "The fast multipole method for the wave equation: a pedestrian prescription", IEEE Trans. Antennas Propagat. Mag., vol. 35, pp. 7--12, June 1993.

Crossref

Google Scholar

[2]

L.J. Jiang and W.C. Chew, "Modified fast inhomogeneous plane wave algorithm from low frequency to microwave frequency", IEEE Antennas and Propag. Soc. Int. Symp., vol. 2, pp. 22--27, June 2003.

Google Scholar

[3]

E. Bleszynski, M. Bleszynski and T. Jaroszewicz, "AIM: Adaptive Integral Method for Solving large-scale electromagnetic scattering and radiation problems", Radio Science, vol. 31, pp. 1225--1251, Sept-Oct 1996.

Crossref

Google Scholar

[4]

N. Yuan, T.S. Yeo, X.C. Nie and L.W. Li, "A Fast Analysis of Scattering and Radiation of Large Microstrip Antenna Arrays", IEEE Trans. on Antennas and Propagation, vol. 51, pp. 2218--2226, Sep 2003.

Crossref

Google Scholar

[5]

Z. Zhu, B. Song and J. White, "Algorithms in FastImp: a fast and wide-band impedance extraction program for complicated 3-D geometries", IEEE Trans. on Computer-Aided Design of Integrated Circuits and Systems, vol. 24, pp. 981 -- 998, July 2005

Digital Library

Google Scholar

[6]

S.Kapur and D.Long, "IES3: a fast integral equation solver for efficient 3-dimensional extraction", International conference on Computer Aided Design, pp. 448--455, Nov. 1997.

Digital Library

Google Scholar

[7]

D.Gope and V.Jandhyala, "Oct-Tree Based Multilevel Low-Rank Decomposition Algorithm for Rapid 3D Parasitic Extraction", IEEE Trans. on Computer-Aided Design of Integrated Circuits and Systems, vol-23, pp. 1575 -- 1580, Nov. 2004.

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Sun JLiu ZWen JFu R(2022)Multiple hierarchical compression for deep neural network toward intelligent bearing fault diagnosisEngineering Applications of Artificial Intelligence10.1016/j.engappai.2022.105498116(105498)Online publication date: Nov-2022
https://doi.org/10.1016/j.engappai.2022.105498
Astner MBruns HSinger H(2008)Simple load balancing in binary-tree based parallel multilevel low-rank compression techniques2008 IEEE International Symposium on Electromagnetic Compatibility10.1109/ISEMC.2008.4652147(1-4)Online publication date: Aug-2008
https://doi.org/10.1109/ISEMC.2008.4652147
Wang XJandhyala V(2007)Parallel Algorithms for Fast Integral Equation Based Solvers2007 IEEE Electrical Performance of Electronic Packaging10.1109/EPEP.2007.4387173(249-252)Online publication date: Oct-2007
https://doi.org/10.1109/EPEP.2007.4387173

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DAC '06: Proceedings of the 43rd annual Design Automation Conference

July 2006

1166 pages

ISBN:1595933816

DOI:10.1145/1146909

General Chair:
Ellen M. Sentovich
Cadence Berkeley Labs, Berkeley, CA

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

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Published: 24 July 2006

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July 24 - 28, 2006

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Overall Acceptance Rate 1,770 of 5,499 submissions, 32%

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Sun JLiu ZWen JFu R(2022)Multiple hierarchical compression for deep neural network toward intelligent bearing fault diagnosisEngineering Applications of Artificial Intelligence10.1016/j.engappai.2022.105498116(105498)Online publication date: Nov-2022
https://doi.org/10.1016/j.engappai.2022.105498
Astner MBruns HSinger H(2008)Simple load balancing in binary-tree based parallel multilevel low-rank compression techniques2008 IEEE International Symposium on Electromagnetic Compatibility10.1109/ISEMC.2008.4652147(1-4)Online publication date: Aug-2008
https://doi.org/10.1109/ISEMC.2008.4652147
Wang XJandhyala V(2007)Parallel Algorithms for Fast Integral Equation Based Solvers2007 IEEE Electrical Performance of Electronic Packaging10.1109/EPEP.2007.4387173(249-252)Online publication date: Oct-2007
https://doi.org/10.1109/EPEP.2007.4387173

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Measurement and Analysis of Parasitic Capacitance in FinFETs with High-k Dielectrics and Metal-Gate Stack

Parallel implementation of 3D global MHD simulations for Earth's magnetosphere

Parallel lossless data compression using the Burrows-Wheeler Transform

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