Homotopy continuation approach to electrostatic boundary-value problems of nonlinear media

Communications in Theoretical Physics

Volumn 29, Issue 4, 1998, Pages 523-530

  Gu, Guoqing ^a   Yu, Kinwah ^b  

^a UNIVERSITY OF SHANGHAI FOR SCIENCE AND TECHNOLOGY   (China)

^b CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Electrostatic boundary value problem; Homotopy continuation method; Nonlinear media

Indexed keywords

EID: 0032379227     PISSN: 02536102     EISSN: None     Source Type: Journal    
DOI: 10.1088/0253-6102/29/4/523     Document Type: Article

References (27)

1. D.J. Bergman and D. Stroud, in Solid State Physics: Advances in Research and Application, Vol. 46, eds H. Ehrenreich and D. Turnbull, Academic, New York (1992) 147.
2. See the articles, in Proceedings of the Third International Conference on Electrical Transport and Optical Properties in Inhomogeneous Media [Physica A207 (1994) 1].
3. See the articles, in Breakdown and Nonlinearity in Soft Condensed Matter, Vol. 437, eds K.K. Bardhan, B.K. Chakrabarti and A. Hansen, Springer Lecture Notes in Physics, Springer-Verlag, Berlin 437 (1994) 1.
4. C. Flytzanis, Prog. Opt. 29 (1992) 2539.
5. J.W. Haus, R. Inguva and C.M. Bowden, Phys. Rev. A40 (1990) 5729.
6. D. Stroud and V.E. Wood, J. Opt. Soc. Am. B6 (1989) 778; A.E. Neeves and M.H. Birnboim, ibid. 6 (1989) 787; Y.Q. Li, C.G. Sung, R. Inguva and C.M. Bowden, ibid. 6 (1989) 814.
7. D. Stroud and V.E. Wood, J. Opt. Soc. Am. B6 (1989) 778; A.E. Neeves and M.H. Birnboim, ibid. 6 (1989) 787; Y.Q. Li, C.G. Sung, R. Inguva and C.M. Bowden, ibid. 6 (1989) 814.
8. D. Stroud and V.E. Wood, J. Opt. Soc. Am. B6 (1989) 778; A.E. Neeves and M.H. Birnboim, ibid. 6 (1989) 787; Y.Q. Li, C.G. Sung, R. Inguva and C.M. Bowden, ibid. 6 (1989) 814.
9. D. Stroud and P.M. Hui, Phys. Rev. B37 (1988) 8719.
10. X.C. Zeng, D.J. Bergman, P.M. Hui and D. Stroud, Phys. Rev. B38 (1988) 10970.
11. G.Q. GU and K.W. YU, Phys. Rev. B46 (1992) 4502; K.W. YU and G.Q. GU, ibid. 47 (1993) 7568.
12. G.Q. GU and K.W. YU, Phys. Rev. B46 (1992) 4502; K.W. YU and G.Q. GU, ibid. 47 (1993) 7568.
13. K.W. YU, Y.C. WANG, P.M. HUI and G.Q. GU, Phys. Rev. B47 (1993) 1782; K.W. YU, P.M. HUI and D. Stroud, ibid. 47 (1993) 14150.
14. K.W. YU, Y.C. WANG, P.M. HUI and G.Q. GU, Phys. Rev. B47 (1993) 1782; K.W. YU, P.M. HUI and D. Stroud, ibid. 47 (1993) 14150.
15. K.W. YU and P.M. HUI, Phys. Rev. B50 (1994) 13327.
16. R. Blumenfeld and D.J. Bergman, Phys. Rev. B44 (1991) 7378.
17. P. Ponte Castaneda, J. Mech. Phys. Solids 39 (1991) 45; P. Ponte Castaneda, G. de Botton and G. Li, Phys. Rev. B46 (1992) 4387.
18. P. Ponte Castaneda, J. Mech. Phys. Solids 39 (1991) 45; P. Ponte Castaneda, G. de Botton and G. Li, Phys. Rev. B46 (1992) 4387.
19. G.Q. GU, K.W. YU and B.H. WANG, J. Appl. Phys. 78 (1995) 1737.
20. K.W. YU, P.M. HUI and H.C. LEE, Phys. Lett. A210 (1996) 115.
21. K.W. YU and G.Q. GU, Phys. Lett. A193 (1994) 311; H.C. LEE and K.W. YU, ibid. 197 (1995) 341.
22. K.W. YU and G.Q. GU, Phys. Lett. A193 (1994) 311; H.C. LEE and K.W. YU, ibid. 197 (1995) 341.
23. H.C. LEE, W.H. SIU and K.W. YU, Phys. Rev. B52 (1995) 4217.
24. S.J. LIAO, J. Appl. Mech. 59 (1992) 970.
25. S.J. LIAO, Int. J. Numer. Method Fluids 15 (1992) 595.
26. K. LI and T.Y. LI, Numer. Alg. 4 (1993) 167.
27. S.H. LUI and G.H. Golub, Numer. Alg. 10 (1995) 363.