NDLI: Fast Poisson solvers for thermal analysis

Content Provider	IEEE Xplore Digital Library
Author	Haifeng Qian Sapatnekar, S.S.
Copyright Year	2010
Description	Author affiliation: IBM T. J. Watson Research Center Yorktown Heights, NY (Haifeng Qian) \|\| Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN (Sapatnekar, S.S.)
Abstract	Accurate and efficient thermal analysis for a VLSI chip is crucial, both for sign-off reliability verification and for design-time circuit optimization. To determine an accurate temperature profile, it is important to simulate a die together with its thermal mounts: this requires solving Poisson's equation on a non-rectangular 3D domain. This paper presents a class of eigendecomposition-based fast Poisson solvers (FPS) for chiplevel thermal analysis. We start with a solver that solves a rectangular 3D domain with mixed boundary conditions in O(NlogN) time, where N is the dimension of the finite-difference matrix. Then we reveal, for the first time in the literature, a strong relation between fast Poisson solvers and Green-function-based methods. Finally, we propose an FPS method that leverages the preconditioned conjugate gradient method to solve non-rectangular 3D domains efficiently. We demonstrate that this approach solves a system of dimension 5.33e6 in only 11 Conjugate Gradient iterations, with a runtime of 171 seconds, a 6X speedup over the popular ICCG solver.
Starting Page	698
Ending Page	702
File Size	690346
Page Count	5
File Format	PDF
ISBN	9781424481934
ISSN	10923152
e-ISBN	9781424481941
DOI	10.1109/ICCAD.2010.5654249
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-11-07
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Mathematical model Thermal analysis Equations Three dimensional displays Approximation methods Integrated circuit modeling Computational modeling Green function thermal analysis fast Poisson solver
Content Type	Text
Resource Type	Article
Subject	Computer Graphics and Computer-Aided Design Computer Science Applications Software

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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