System and method for determining capacitance for...

Data processing: structural design – modeling – simulation – and em – Modeling by mathematical expression

Reexamination Certificate

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C703S013000, C703S014000, C702S027000, C382S285000

Reexamination Certificate

active

06871167

ABSTRACT:
For use in an integral equation formulation of capacitance, a system for, and method of, generating a representation of charge distribution for a given capacitive structure (which may be an integrated circuit). In one embodiment, the system includes: (1) a charge variation function generator that creates a multidimensional charge variation function that is not directly dependent on a conductive geometry of the structure and (2) a conductive geometry generator, associated with the charge variation generator, that creates a conductive geometry that is independent of charge variation in the structure, the charge variation function and the conductive geometry employable in the integral equation formulation to reduce a complexity thereof.

REFERENCES:
patent: 6051027 (2000-04-01), Kapur et al.
patent: 6133921 (2000-10-01), Turkiyyah et al.
patent: 6175815 (2001-01-01), Stalzer
patent: 6314545 (2001-11-01), Kapur et al.
patent: 6345235 (2002-02-01), Edgecombe et al.
patent: 6351572 (2002-02-01), Dufour
patent: 6397171 (2002-05-01), Belk
“Large-Scale Capacitance Calculation”, by Sharad Kapur and David E. Long, 2000 ACM.*
“GMRES: A Generalized Minimal Residual Algorithm For Solving Nonsymmetric Linear Systems,” by Y. Saad and M. H. Shultz, SIAM Journal on Scientific and Statistical Computing, 7(3):856-69, 1986.
Introduction to Numerical Analysis by J. Soer and R. Bulirsh, Springer-Verlag 1979 and in “Preconditioned, Adaptive, Multipole-Accelerated Iterative Methods For Three-Dimensional First-Kind Integral Equations of Potential Theory,” by K. Nabors, et al., SIAM Journal on Scientific and Statistical Computing, 15(3):713-735, May 1994.

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