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
Multilevel matrix multiplication and fast solution of integral equations
Journal of Computational Physics
Laplace's equation and the Dirichlet-Neumann map in multiply connected domains
Journal of Computational Physics
Thin bridges in isotropic electrostatics
Journal of Computational Physics
Iterative methods for solving linear systems
Iterative methods for solving linear systems
On the numerical evaluation of electrostatic fields in dense random dispersions of cylinders
Journal of Computational Physics
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
Fast, adaptive summation of point forces in the two-dimensional Poisson equation
Journal of Computational Physics
A precorrected-FFT method for electrostatic analysis of complicated 3-D structures
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Improved integral formulations for fast 3-D method-of-moments solvers
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Fast evaluation of electro-static interactions in multi-phase dielectric media
Journal of Computational Physics
On the evaluation of layer potentials close to their sources
Journal of Computational Physics
Journal of Computational Physics
Applied Numerical Mathematics
Journal of Computational Physics
The effective conductivity of random checkerboards
Journal of Computational Physics
Journal of Scientific Computing
Hi-index | 31.48 |
We present a robust integral equation method for the calculation of the electrostatic and thermal properties of systems made of piecewise homogeneous, high contrast materials. By high contrast, we mean that the electrical or thermal conductivity ratios are high. Our approach involves a modification of the standard integral representation using, in electrostatic terms, the polarization charge as an unknown. It is related to the perturbation approach proposed by Tausch and White [J. Tausch, J. White, Capacitance extraction of 3-D conductor systems in dielectric media with high-permittivity ratios, IEEE Trans. Microwave Theory Tech., 47 (1999) 18-26], but based on a simple form of projection rather than on the solution of auxiliary integral equations. Numerical implementation is straightforward in the multiple dielectric case.