GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
SIAM Journal on Scientific and Statistical Computing
A fast algorithm for particle simulations
Journal of Computational Physics
SIAM Journal on Scientific Computing
A virtual 3-D multipole accelerated extractor for VLSI parasitic interconnect capacitance
Proceedings of the 2001 Asia and South Pacific Design Automation Conference
A virtual 3-D fast extractor for interconnect capacitance of multiple dielectrics
Microelectronic Engineering
A Parallel Multipole Accelerated 3-D Capacitance Simulator Based on an Improved Model
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
A fast hierarchical algorithm for three-dimensional capacitance extraction
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
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This paper describes an efficient improvement of the multipole accelerated boundary element method for 3-D capacitance extraction. The overall relations between the positions of 2-D boundary elements are considered instead of only the relations between the center-points of the elements, and a new method of cube partitioning is introduced. Numerical results are presented to demonstrate that the method is accurate and has nearly linear computational growth as O(n), where n is the number of panels/boundary elements. The proposed method is more accurate and much faster than Fastcap.