NDLI: A fast 3-D eigenvalue solver for finite-element-based analysis of multilayered integrated circuits

Content Provider	IEEE Xplore Digital Library
Author	Jongwon Lee Balakrishnan, V. Cheng-Kok Koh Dan Jiao
Copyright Year	2010
Description	Author affiliation: School of Electrical and Computer Engineering, Purdue University, 465 Northwestern Avenue, West Lafayette, IN, USA (Jongwon Lee; Balakrishnan, V.; Cheng-Kok Koh; Dan Jiao)
Abstract	Electromagnetics-based modeling and simulation has become increasingly important in the design of next generation integrated circuits. Many of the integrated circuit problems can be analyzed by formulating a generalized eigenvalue problem. To solve the generalized eigenvalue problem, the Arnoldi process is typically used. State-of-the-art Arnoldi algorithms require $O(N^{2})$ storage units and operations for solving the generalized eigenvalue problem with N unknowns. In [3] and [4], we reduced the $O(N^{2})$ complexity to O(N) complexity for solving Manhattan-type large-scale 3-D on-chip interconnects. The main contribution of this paper is the development of a fast algorithm that achieves a similar reduction in complexity for solving generalized eigenvalue problems in arbitrarily-shaped 3-D integrated circuit structures.
Starting Page	1
Ending Page	4
File Size	351031
Page Count	4
File Format	PDF
ISBN	9781424449675
ISSN	15223965
DOI	10.1109/APS.2010.5561932
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-07-11
Publisher Place	Canada
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Eigenvalues and eigenfunctions Integrated circuit modeling Finite element methods Symmetric matrices Complexity theory Resonant frequency
Content Type	Text
Resource Type	Article

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