General boundary-element method for unsteady nonlinear heat transfer problems

Numerical Heat Transfer, Part B: Fundamentals

Volumn 35, Issue 2, 1999, Pages 225-242

  Liao, Shi Jun ^a   Chwang, Allen T ^a  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY ELEMENT METHOD; NONLINEAR EQUATIONS; PROBLEM SOLVING; THERMAL CONDUCTIVITY; TIME DOMAIN ANALYSIS; UNSTEADY FLOW;

THERMAL CONDUCTIVITY COEFFICIENTS;

HEAT TRANSFER;

EID: 0033098677     PISSN: 10407790     EISSN: 15210626     Source Type: Journal    
DOI: 10.1080/104077999275965     Document Type: Article

References (16)

1. S. J. Liao, The Quite General BEM for Strongly Nonlinear Problems, In C. A. Brebbia, S. Kim, T. A. Osswald, and H. Power (eds.), Boundary Elements XVII, pp. 67-74, Computational Mechanics Publications, Southampton, UK, 1995.
2. S. J. Liao and A. T. Chwang, The General Boundary Element Method for Nonlinear Problems, Int. J. Numer. Meth. Fluids, vol. 23, pp. 467-483, 1996.
3. S. J. Liao and A. T. Chwang, The General BEM and Its Applications in Nonlinear Heat Transfer, In R. C. Ertekin, M. Tanaka, and C. A. Brebbia (eds.), Boundary Element Technology XI, pp. 83-92, Computational Mechanics Publications, Southampton, UK, 1996.
4. L. C. Wrobel, On the Use of Time-Dependent Fundamental Solutions for the Boundary Element Formulation of Diffusion Problems, In C. A. Brebbia, (ed.), Boundary Elements X, Vol. 2: Heat Transfer, Fluid Flow and Electrical Applications, pp. 3-13, Computational Mechanics Publications, Springer-Verlag, Berlin, 1988.
5. L. C. Wrobel and C. A. Brebbia, Time-Dependent Potential Problems, In C. A. Brebbia (ed.), Progress in Boundary Element Methods, Pentech Press, London, pp. 192-212, 1981.
6. F. J. Rizzo and D. J. Shippy, A Method of Solution for Certain Problems of Transient Heat Conduction, AIAA J., vol. 8, pp. 2004-2009, 1970.
7. P. Satravaha and S. P. Zhu, An Application of the LTDRM to Non-linear Transient Heat Conduction Problems, In C. A. Brebbia, S. Kim, T. A. Osswald, H. Power (eds.), Boundary Element XI, pp. 297-304, Computational Mechanics Publications, Southampton, UK, 1989.
8. C. A. Brebbia, J. C. F. Telles, and L. C. Wrobel, Boundary Element Techniques, Springer-Verlag, Berlin, 1984.
9. Partridge, P. W., New Development in the Dual Reciprocity Method, In C. A. Brebbia, S. Kim, T. A. Osswald, and H. Power (eds.), Boundary Elements XVII, pp. 11 -18, Computational Mechanics Publications, Southampton, U.K., 1995.
10. S. P. Zhu, Y. Zhang, and T. R. Marchant, A DRBEM Model for Microwave Heating Problems, Appl. Math. Modelling, vol. 19, pp. 287-297, 1995.
11. J. M. Hill and A. H. Pincombe, Some Similarity Profiles for the Microwave Heating of a Half Space, J. Math. Soc. Ser. B., vol. 33, pp. 29-30, 1991.
12. J. M. Hill and N. F. Smyth, On the Mathematical Analysis of Hot-Spots Arising from Microwave Heating, Math. Eng. Ind., vol. 17, pp. 1823-1834, 1990.
13. J. M. Hill and M. J. Jennings, Formulation of Model Equations for Heating by Microwave Radiation, Appl. Math. Modelling, vol. 17, pp. 1823-1834, 1993.
14. T. R. Marchant, Microwave Heating of Materials with Impurities, J. Eng. Math., vol. 28, no. 5, pp. 379-400, 1994.
15. C. J. Coleman, On the Microwave Hot-Spot Problem, J. Austral. Math. Soc. Ser. B., vol. 300, pp. 1 -8, 1991.
16. A. S. Mexatax and R. J. Meredity, Industrial Microwave Heating, London, Pereginus, 1983.