A boundary element scheme for diffusion problems using compactly supported radial basis functions

Engineering Analysis with Boundary Elements

Volumn 23, Issue 3, 1999, Pages 201-209

  Zerroukat, M ^a  

^a WESSEX INSTITUTE OF TECHNOLOGY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; DIFFUSION; EVALUATION; FINITE DIFFERENCE METHOD; FUNCTIONS; PROBLEM SOLVING;

RADIAL BASIS FUNCTIONS;

BOUNDARY ELEMENT METHOD;

EID: 0033101571     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0955-7997(98)00089-7     Document Type: Article

References (19)

1. Demirel V., Wang S. An efficient boundary element method for two-dimensional transient wave propagation problems. Appl Math Modelling. 11:1987;411-416.
2. Davey K., Hinduja S. An improved procedure for solving transient heat conduction problems using the boundary element method. Int J Numer Meth Engng. 28:1989;2293-2306.
3. Davey K., Bounds S. Source-weighted domain integral approximation for linear transient heat conduction. Int J Numer Meth Engng. 39:1996;1775-1790.
4. Greengard L., Strain J. A fast algorithm for the evaluation of heat potentials. Comm Pure Appl Math. 43:1990;949-963.
5. Partridge PA, Brebbia CA, Wrobel LC. Dual reciprocity boundary element method. Southampton and London: Computational Mechanics Publications and Elsevier, 1992.
6. Zerroukat M., Wrobel L.C. A boundary element method for multiple moving boundary problems. J Comput Phys. 138:1997;501-519.
7. Moridis GJ, Reddell DL. The Laplace transform boundary element method for the solution of diffusion type equations. In: Brebbia CA, Gipson GS, editors. Boundary elements XIII. Southampton and London: Computational Mechanics Publications and Elsevier, 1991. pp. 83-97.
8. Hill L.R., Faxris T.N. Fast Fourier transform of spectral boundary elements for transient heat conduction. Int J Numer Meth Heat Fluid Flow. 57:1995;813-827.
9. Zerroukat M. A fast boundary element algorithm for time-dependent potential problems. Appl Math Modelling. 22:1998;183-196.
10. Dyn N., Levin D., Rippa S. Numerical procedures for global surface fitting of scattered data by radial functions. SIAM J Sci Stat Comput. 7:1986;639-659.
11. Dubal M.R. Domain decomposition and local refinement for multiquadric approximations. J Appl Sci Comput. 1:1994;146-171.
12. Floater M.S., Iske A. Multistep scattered data interpolation using compactly supported radial basis functions. J Comput Appl Math. 73:1996;65-78.
13. Wrobel LC, Brebbia CA. Boundary element methods in heat transfer. Southampton and London: Computational Mechanics Publications and Elsevier, 1992.
14. Wendland H. Error estimates for interpolation by compactly supported radial basis functions of minimal degree. J Approx Theory 1998;93:258-272. (Reprints in: http://www.num.math.uni-goettingen.de/wendland/papers.html).
15. Press WH, Teukolsky SA, Vetterling WT, Flannery BR. Numerical recipes in Fortran, 2nd ed. Cambridge: Cambridge University Press, 1992.
16. Kansa E.J. Multiquadrics: a scattered data approximation scheme with applications to computational fluid-dynamics. Comput Math Appl. 19:1990;147-161.
17. Zerroukat M., Power H., Chen C.S. A numerical method for heat transfer problems using collocation and radial basis functions. Int J Numer Meth Engng. 42:1998;1263-1278.
18. Carslaw HS, Jaeger JC. Conduction of heat in solids, 2nd ed. Oxford: Clarendon Press, 1959.
19. Haberland C., Lahrmann A. A comparative investigation on recurrence formulae in finite differences methods. Int J Numer Meth Engng. 25:1988;593-609.