Fast numerical scheme for computing the response of composites using grid refinement

EPJ Applied Physics

Volumn 6, Issue 1, 1999, Pages 41-47

  Eyre, D J ^a   Milton, G W ^a  

^a UNIVERSITY OF UTAH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; ELECTRIC CONDUCTIVITY OF SOLIDS; ELECTRIC FIELD EFFECTS; FOURIER TRANSFORMS; ITERATIVE METHODS; NUMERICAL METHODS;

CONTRACTION MAPPING; GRID REFINEMENT;

COMPOSITE MATERIALS;

EID: 0032625121     PISSN: 12860042     EISSN: None     Source Type: Journal    
DOI: 10.1051/epjap:1999150     Document Type: Article

References (27)

1. D.J. Bergman, K.-J. Dunn, Phys. Rev. B 45, 13262 (1992).
2. R.T. Bonnecaze, J.F. Brady, Proc. R. Soc. Lond. A 432, 445 (1991).
3. O. Bruno, Asym. Anal. 4, 339 (1991).
4. O. Bruno, F. Reitich, Math. Comp. 63, 195 (1994).
5. H. Cheng, L. Greengard, V. Rokhlin, preprint (1998).
6. H. Cheng, L. Greengard, SIAM J. Appl. Math. 58, 122 (1998).
7. C. de Boor, A Practical Guide to Splines (Springer-Verlag, New York, NY).
8. A.G. Fokin, Phys. Stat. Sol. (b) 111, 281 (1982).
9. Y. Fu, K.J. Klimkowski, G.J. Rodin, E. Berger, J.C. Browne, J.K. Singer, R.A. van de Geijn, K.S. Vemaganti, preprint (1998).
10. K. Golden, G.W. Milton, Comm. Pure Appl. Math. 43, 647 (1990).
11. Y. Grabovsky, G.W. Milton, D.S. Sage, Comm. Pure Appl. Math, (submitted, 1998).
12. L. Greengard, M. Moura, Acta Numerica 1994 (Cambridge University Press), p. 379.
13. J. Helsing, J. Stat. Phys. 90, 1461 (1998).
14. J. Helsing, J. Comp. Phys. 127, 142 (1996).
15. J. Helsing, K. Samuelsson, J. Appl. Phys. 78, 2498 (1995).
16. T.Y. Hou, X.-H. Wu, J. Comput Phys 134, 169 (1997).
17. T.Y. Hou, X.-H. Wu, Z. Cai, Math. Comput. (to appear).
18. I.C. Kim, S. Torquato, J. Appl. Phys. 68, 3892 (1990).
19. H. Ma, P. Sheng, preprint.
20. D.R. McKenzie, R.C. McPhedran, G.H. Derrick, Proc. R. Soc. Lond. A 362, 221 (1978).
21. G.W. Milton, in preparation.
22. H. Moulinec, P. Suquet, C. R. Acad. Sc. Paris II 318, 1417 (1994).
23. H. Moulinec, P. Suquet, Comp. Meth. Appl. Mech. Engrg. 157, 69 (1998).
24. W.H. Muller, J. Phys. IV France 6, C1-139 (1996).
25. G.J. Rodin, Int. J. Sol. Struct. 30, 1894 (1993).
26. L.M. Schwartz, J.R. Banavar, Physica A 157, 230 (1989).
27. R. Tao, Z. Chen, P. Sheng, Phys. Rev. B 41, 2417 (1990).