Efficient direct BEM numerical scheme for heat transfer problems using fourier series

International Journal of Numerical Methods for Heat and Fluid Flow

Volumn 10, Issue 7, 2000, Pages 687-720

  Ibáñez, Maria T ^a,b   Power, H ^a,b  

^a WESSEX INSTITUTE OF TECHNOLOGY   (United Kingdom)

^b UNIVERSIDAD CENTRAL DE VENEZUELA   (Venezuela)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BOUNDARY ELEMENT METHOD; BOUNDARY VALUE PROBLEMS; CONVERGENCE OF NUMERICAL METHODS; FAST FOURIER TRANSFORMS; GREEN'S FUNCTION; HEAT FLUX; INTEGRAL EQUATIONS; PROBLEM SOLVING; TEMPERATURE; TEMPERATURE DISTRIBUTION;

BOUNDARY INTEGRAL EQUATION; BOUNDARY TEMPERATURE; HEAT EQUATION;

HEAT TRANSFER;

EID: 0034542108     PISSN: 09615539     EISSN: None     Source Type: Journal    
DOI: 10.1108/09615530010350417     Document Type: Article

References (23)

1. Brebbia, C.A., Telles, J.C.F. and Wrobel, L.C. (1984), Boundary Element Techniques. Theory and Applications in Engineering, Springer-Verlag, Berlin.
2. Carslaw, H.S. and Jaeger, J.C. (1959), Conduction of Heat in Solids, 2nd ed., Clarendon Press, Oxford.
3. Chang, Y.P., Kang, C.S. and Chen, D.J. (1973), "The use of fundamental Green's functions for the solution of problems of heat conduction in anisotropic media", Int. J. Heat Mass Transf., Vol. 16, pp. 1905-18.
4. Davey, K. and Bounds, S. (1996), "Source-weighted domain integral approximation for linear transient heat conduction", Int. J. Numer. Meths Eng., Vol. 39, pp. 1775-90.
5. Davey, K. and Hinduja, S. (1987), "An improved procedure for solving transient heat conduction problems using the boundary element method", Int. J. Numer. Meths Eng., Vol. 28, pp. 2293-306.
6. Demirel, V. and Wang, S. (1987), "An efficient boundary element method for two-dimensional transient wave propagation problems", Appl. Maths Modelling, Vol. 11, pp. 411-16.
7. Dym, H. and McKean, H.P. (1972), Fourier Series and Integrals, Academic Press, New York and London.
8. Greengard, L. and Strain, J. (1990), "A fast algorithm for the evaluation of heat potentials", Communications on Pure and Applied Mathematics, Vol. XLIII, John Wiley & Sons, pp. 949-63.
9. Hsiao, G.C. and Saranen, J. (1993), "Boundary integral solution of the two-dimensional heat equation", Mathematical Methods in the Applied Sciences, Vol. 16, pp. 87-114.
10. Kansa, E.J. (1990), "Multiquadrics - a scattered data approximation scheme with applications to computation fluid dynamics II: solution to parabolic, hyperbolic and elliptic partial differential equations", Computers Math. Applic., Vol. 19, pp. 147-61.
11. Knopp, K. (1956), Infinite Sequences and Series, Dover, New York, NY.
12. Mikhlin, S.G. (1957), Integral Equations and their Applications to Certain Problems in Mechanics, Mathematical Physics and Technology, Pergamon Press.
13. Morse, P.M. and Feshbach, H. (1953), Methods of Theoretical Physics, McGraw-Hill, New York, NY.
14. Sethian, J.A. and Strain, J. (1992), "Crystal growth and dendritic solidification", Journal of Computational Physics, Vol. 98, Academic Press, Inc., pp. 231-53.
15. Shaw, R.P. (1974), "An integral equation approach to diffusion", Int. J. Heat Mass Transf., Vol. 17, pp. 693-9.
16. Singh, K.M. and Kalra, M.S. (1995), "Application of cubic Hermitian algorithms to boundary element analysis of heat conduction", Int. J. Numer. Meth. Eng., Vol. 38, pp. 2639-51.
17. Strain, J. (1992), "Fast potential theory. II. Layer potentials and discrete sums", Journal of Computational Physics, Vol. 99, Academic Press, Inc., pp. 251-70.
18. Telles, J.C.F. (1987), "A self-adaptive co-ordinate transformation for efficient numerical evaluation of general boundary element integrals", Int. J. Num. Meths Eng., Vol. 24, pp. 959-73.
19. Tolstov, G.P. (1962), Fourier Series, Dover Publications, Inc., New York, NY.
20. Wrobel, L.C. and Brebbia, C.A. (1979), "The boundary element method for steady-state and transient heat conduction", in Lewis, R.W. and Morgan, K. (Eds), Numerical Methods in Thermal Problems, Vol. 1, Pineridge Press, Swansea.
21. Zerroukat, M. (1998), "A fast boundary element algorithm for time-dependant potential problems", Applied Mathematical Modelling, Vol. 22, pp. 183-96.
22. Zerroukat, M. and Power, H. (1998), "On time-dependent domain integral approximation using radial basis functions", Boundary Elements XX, Advances in Boundary Elements, Computational Mechanics Publications.
23. Zerroukat, M., Power, H. and Chen, C.S. (1998), "A numerical method for heat transfer problems using collocation and radial basis functions", Int. J. Numer. Meth. Engng, Vol. 42, pp. 1263-78.