1991
DOI: 10.1109/43.97624
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FastCap: a multipole accelerated 3-D capacitance extraction program

Abstract: In this paper a fast algorithm for computing the capacitance of a complicated 3-D geometry of ideal conductors in a uniform dielectric is described and its performance in the capacitance extractor FastCap is examined. The algorithm is an acceleration of the boundary-element technique for solving the integral equation associated with the multiconductor capacitance extraction problem. Boundary-element methods become slow when a large number of elements are used because they lead to dense matrix problems, which a… Show more

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Cited by 771 publications
(459 citation statements)
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References 12 publications
(10 reference statements)
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“…For M1, we assume that the substrate and M2 are the ground planes; and for M4, we assume that M3 and M5 are the ground planes. The total capacitance, including the area capacitance, fringing capacitance, and coupling capacitance components, are obtained using the 3D field solver FastCap [2]. Based on these assumptions, our capacitance values for M1 closely match those given in the NTRS.…”
Section: Interconnect Trends and Challengesmentioning
confidence: 77%
“…For M1, we assume that the substrate and M2 are the ground planes; and for M4, we assume that M3 and M5 are the ground planes. The total capacitance, including the area capacitance, fringing capacitance, and coupling capacitance components, are obtained using the 3D field solver FastCap [2]. Based on these assumptions, our capacitance values for M1 closely match those given in the NTRS.…”
Section: Interconnect Trends and Challengesmentioning
confidence: 77%
“…2 (a) 11.9474 1.96946 1.31162 Fig. 2 (b Figure (a) and (b) are about the same, we use another famous 3D field-solver FastCap [8] to extract the capacitances. The coupling capacitance C 12 is 1.745 fF in Figure (a) and 1.857 fF in Figure (b) for d g1 = 5µm.…”
Section: Ground-aware Net Routing Techniquesmentioning
confidence: 99%
“…Standard piecewise constant, higher order, or frequency-dependent basis functions have been used to represent J and ρ [18,16,19,20,21,22], and the basis function coefficients have been determined using both collocation and Galerkin methods applied to (1) and (2). There are also several choices for imposing the current and charge conservation conditions in (3) and (4) [16,23,24].…”
Section: Introductionmentioning
confidence: 99%