General boundary element method for Poisson equation with spatially varying conductivity

Engineering Analysis with Boundary Elements

Volumn 21, Issue 1, 1998, Pages 23-38

  Liao, Shi Jun ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

General boundary element method; Spatially varying conductivity; Two dimensional Poisson equation

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS;

POISSON EQUATION;

BOUNDARY ELEMENT METHOD;

EID: 0031652439     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0955-7997(97)00104-5     Document Type: Article

References (15)

1. Liao, S. J. The quite general BEM for strongly nonlinear problems. In Boundary Elements VXII, eds Brebbia, Kim, Osswald & Power. Computational Mechanics Publications, Southampton, 1995, pp. 67-74.
2. Brebbia, C. A. & Connor, J. J. Advances in Boundary Elements 1: computations and fundamentals. Computational Mechanics Publishing, Southampton, 1989.
3. Brebbia, C. A. Boundary Elements X, Vol. 1: mathematical and computational aspects. Computational Mechanics Publishing, Southampton, 1988.
4. Partridge, P. W. New development in the dual reciprocity method. In Boundary Elements VXII. Proceedings of the 17th International Conference on Boundary Elements, Madison, USA, 1995, eds Brebbia, Kim, Osswald & Power. Computational Mechanics Publications, Southampton, 1995, pp. 11-18.
5. Tosaka, N. & Kakuda, K. The generalized BEM for nonlinear problems. In Boundary Elements X, Vol. 1: mathematical and computational aspects, ed. Brebbia. Computational Mechanics Publishing, Southampton, 1988, pp. 1-17.
6. Wang, Z. K. & Kao, T. A. An Introduction to Homotopy Methods. Chongqing Publishing House, Chongqing, 1991.
7. Nash, C. & Sen, S. Topology and Geometry for Physicists. Academic Press, London, 1983.
8. Papy, G. Topologie als Grundlage des Analysis-Unterrichts. Vandenholck and Ruprecht, Goettingen, 1970.
9. Liao, S. J. Boundary element method for general nonlinear differential operators. Engineering Analysis with Boundary Elements, 1997, 20(2), pp. 91-99.
10. Liao, S. J. & Chwang, A. T. General BEM and its applications in nonlinear heat transfer. In Boundary Element Technology XI, eds Ertekin, Brebbia, Tanaka & Shaw. Computational Mechanics Publications, Southampton, 1996, pp. 83-90.
11. Shaw, R. P., Manolis, G. & Gipson, G. S. The 2D free-space Green's function and BIE for a Poisson equation with linearly varying conductivity in two directions. In Boundary Element Technology XI, eds Ertekin, Brebbia, Tanaka & Shaw. Computational Mechanics Publications, Southampton, 1996, pp. 327-334.
12. Liao, S. J. A kind of approximate solution technique which does not depend upon small parameters, (2): an application in fluid mechanics. International Journal of Non-Linear Mechanics, 1997, 32(5).
13. Liao, S. J. The homotopy analysis method and its applications in mathematics (in Chinese). Journal of Basic Science and Engineering, 1997, 5(2), 111.
14. 1, 1997, 2(2), 1.
15. Liao, S. J. What's the common ground of all numerical and analytical techniques for non-linear problems?. Communications in Nonlinear Science and Numerical Simulation, 1996, 1(4), 26.