By Topic

Preconditioning Matrix for Fast Hierarchical Method in 3-D Capacitance Extraction of IC interconnect

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Ding Wen ; Wuhan Univ., Wuhan ; Wang Gaofeng

In 3-D capacitance extraction by indirect boundary element method (BEM), the dense potential coefficient matrix arising from the integral equation formulation is usually represented implicitly and concisely. This is a significant reduction compared to the O(n2) storage that would be required to store potential coefficient matrix directly. Further, the multiplication of matrix-vector product can be accomplished in time proportional to the size of the representation. However, the conventional preconditioning techniques for an explicit matrix are not applicable since no coefficient matrix is actually constructed. In this work, a preconditioning matrix for the fast hierarchical method (FHM) is proposed by carefully examining inherent properties of the hierarchical data structure in the FHM. This preconditioning matrix significantly enhances convergence of the iterative solution yet preserves the implicit nature of the matrix operations in the FHM. Numerical experiments included confirm: this preconditioned FHM reduces iteration times dramatically, and thereby the computational time is reduced.

Published in:

Electromagnetic Compatibility, 2007. EMC 2007. International Symposium on

Date of Conference:

23-26 Oct. 2007