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
DAC '96 Proceedings of the 33rd annual Design Automation Conference
High-order Nyström schemes for efficient 3-D capacitance extraction
Proceedings of the 1998 IEEE/ACM international conference on Computer-aided design
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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.