Electrostatics and heat conduction in high contrast composite materials

Journal of Computational Physics

Volumn 211, Issue 1, 2006, Pages 64-76

  Greengard, Leslie ^a   Lee, June Yub ^b  

^a NEW YORK UNIVERSITY   (United States)

^b Ewha Womans University   (South Korea)

Author keywords

Boundary integral equation; Dielectric materials; Electrostatics; Heat conduction

Indexed keywords

BOUNDARY INTEGRAL EQUATIONS; DIELECTRIC MATERIALS; HEAT CONDUCTION; THERMAL CONDUCTIVITY;

CAPACITANCE EXTRACTION; COMPOSITES MATERIAL; CONTRAST MATERIAL; HIGH CONTRAST; INTEGRAL EQUATION METHODS; INTEGRAL REPRESENTATION; PERTURBATION APPROACH; PIECE-WISE; POLARIZATION CHARGES; THERMAL CONDUCTIVITY RATIO;

ELECTROSTATICS;

EID: 25444528976     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2005.05.004     Document Type: Article

References (25)

1. A. Brandt A.A. Lubrecht Multilevel matrix multiplication and fast solution of integral equations J. Comput. Phys. 90 1990 348-370
2. J. Carrier L. Greengard V. Rokhlin A fast adaptive multipole algorithm for particle simulations SIAM J. Sci. Statist. Comput. 9 1988 669-686
3. H. Cheng L. Greengard On the numerical evaluation of electrostatic fields in dense random dispersions of cylinders J. Comput. Phys. 136 1997 626-639
4. A. Greenbaum Iterative Methods for Solving Linear Systems 1997 SIAM Philadelphia, PA
5. A. Greenbaum L. Greengard G. McFadden Laplace's equation and the Dirichlet-Neumann map in multiply connected domains J. Comput. Phys. 105 1993 267-278
6. L. Greengard The Rapid Evaluation of Potential Fields in Particle Systems 1988 MIT Press Cambridge, MA
7. L. Greengard M. Moura On the numerical evaluation of electrostatic fields in composite materials Acta Numerica 3 1994 379-410
8. L. Greengard V. Rokhlin A fast algorithm for particle simulations J. Comput. Phys. 73 1987 325-348
9. L. Greengard V. Rokhlin A new version of the fast multipole method for the Laplace equation in three dimensions Acta Numerica 6 1997 229-269
10. R.B. Guenther J.W. Lee Partial Differential Equations of Mathematical Physics and Integral Equations 1988 Prentice-Hall Englewood Cliffs, NJ
11. W. Hackbusch Z.P. Nowak On the fast matrics multiplication in the boundary element method by panel clustering Numer. Math. 54 1989 463-491
12. J. Helsing Thin bridges in isotropic electrostatics J. Comput. Phys. 127 1996 142-151
13. J.D. Jackson Classical Electrodynamics 1975 Wiley New York
14. M.A. Jaswon G.T. Symm Integral Equation Methods in Potential Theory and Elastostatics 1977 Academic Press New York
15. O.D. Kellogg Foundations of Potential Theory 1953 Dover New York
16. S.G. Mikhlin Integral Equations 1957 Pergamon Press London
17. K. Nabors J. White Multipole-accelerated capacitance extraction algorithms for 3-D structures with multiple dielectrics IEEE Trans. on Circuits and Systems 39 1992 946-954
18. J.R. Phillips J. White A precorrected-FFT method for electrostatic analysis of complicated 3-D structures IEEE Trans. Comput. Aid. Design 16 1997 1059-1072
19. V. Rokhlin Rapid solution of integral equations of classical potential theory J. Comput. Phys. 60 1985 187-207
20. Y. Saad M.H. Schultz GMRES: A generalized minimum residual algorithm for solving nonsymmetric linear systems SIAM J. Sci. Stat. Comput. 7 1986 856-869
21. Y. Saad Iterative Methods for Sparse Linear Systems 2003 SIAM Philadelphia, PA
22. 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
23. J. Tausch J. Wang J. White Improved integral formulations for fast 3-D method-of-moment solvers IEEE Trans. Comput.-Aided Design. 20 2001 1398-1405
24. J. Van Bladel Electromagnetic Fields 1964 McGraw-Hill New York
25. L. Van Dommelen E.A. Rundensteiner Fast, adaptive summation of point forces in the two-dimensional Poisson equation J. Comput. Phys. 83 1989 126-147