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16th Conference on Advanced Research in VLSI (ARVLSI'95)
Efficient Galerkin techniques for multipole-accelerated capacitance extraction of 3-D structures with multiple dielectrics
Chapel Hill, North Carolina
March 27-March 29
ISBN: 0-8186-7047-9
X. Cai, Dept. of Electr. Eng. & Comput. Sci., MIT, Cambridge, MA, USA
K. Nabors, Dept. of Electr. Eng. & Comput. Sci., MIT, Cambridge, MA, USA
J. White, Dept. of Electr. Eng. & Comput. Sci., MIT, Cambridge, MA, USA
This paper describes an efficient implementation of a Galerkin based multipole-accelerated boundary element method for 3-D capacitance extraction of conductors in an arbitrary piecewise-constant dielectric medium. Results are presented to demonstrate that the Galerkin method is substantially more accurate than the commonly used collocation scheme for problems with dielectric interfaces. In addition, it is shown experimentally that for a given discretization, a careful implementation of the Galerkin method in a multipole-accelerated program is only slightly more computationally expensive than the collocation method.
Index Terms:
Galerkin method; capacitance; boundary-elements methods; piecewise constant techniques; integrated circuit interconnections; VLSI; permittivity; circuit CAD; integrated circuit design; Galerkin techniques; multipole-accelerated capacitance extraction; 3D structures; multiple dielectrics; boundary element method; capacitance extraction; arbitrary piecewise-constant dielectric medium; IC interconnections; VLSI
Citation:
X. Cai, K. Nabors, J. White, "Efficient Galerkin techniques for multipole-accelerated capacitance extraction of 3-D structures with multiple dielectrics," arvlsi, pp.200, 16th Conference on Advanced Research in VLSI (ARVLSI'95), 1995
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