A semi-analytic boundary element method for parabolic problems

Engineering Analysis with Boundary Elements

Volumn 18, Issue 4, 1996, Pages 253-264

  Brunton, I L ^a   Pullan, A J ^a  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

Author keywords

Dual reciprocity boundary element method; Eigenfunction expansion; Parabolic equations; Separation of variables

Indexed keywords

COMPUTATIONAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; PROBLEM SOLVING; TIME DOMAIN ANALYSIS;

SEPARATION OF VARIABLES DUAL RECIPROCITY METHOD (SOV-DRM);

BOUNDARY ELEMENT METHOD;

EID: 0030372683     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0955-7997(96)00064-1     Document Type: Article

References (22)

1. Kane, J. H. Boundary Element Analysis In Engineering Continuum Mechanics. Prentice-Hall, Englewood Cliffs, NJ, 1994.
2. Brebbia, C. A. & Walker, S. Boundary Element Techniques In Engineering. Newnes-Butterworths, London, 1980.
3. Brebbia, C. A., Telles, J. C. F. & Wrobel, L. C. Boundary Element Techniques: Theory and Applications in Engineering, Ch. 4. Springer-Verlag, Berlin, 1984.
4. Songping, Zhu, Pornchai Satravaha & Xiaoping Lu. Solving linear diffusion equations with the dual reciprocity method in Laplace space. Engineering Analysis with Boundary Elements, 1994, 13, 1-10.
5. Rizzo, F. J. & Shippy, D. J. A method of solution for certain problems of heat conduction. AIAA Journal, 1970, 8(11), 2004-9.
6. Aral, M. M. & Tang, Y. Semianalytic boundary element solution of time dependent partial differential equations. In Advances in Boundary Elements, eds C. A. Brebbia & J. J. Connor. Computational Mechanics Publications. Springer-Verlag, 1989, pp. 275-83.
7. Courant, R. & Hilbert, D. Methods of Mathematical Physics, Vol. 1. Interscience Publishers, New York, 1953.
8. Kamiya, N. & Andoh, E. Eigenvalue determination by boundary-type schemes. Boundary Elements Communications, 1995,6(3), 113-16.
9. Zienkiewicz, O. C. & Taylor, R. L. The Finite Element Method, 4th edn. McGraw-Hill, New York, 1991.
10. Partridge, P. W., Brebbia, C. A. & Wrobel, L. C. The Dual Reciprocity Boundary Element Method. Computational Mechanics Publications and Elsevier Applied Science, 1992.
11. Nowak, A. J. & Partridge, P. W. Comparison of the dual reciprocity and the multiple reciprocity methods. Engineering Analysis with Boundary Elements, 1992, 10, 155-60.
12. Nardini, D. & Brebbia, C. A. A new approach to free vibration analysis using boundary elements. In Boundary Element Methods in Engineering, ed. C. A. Brebbia. Computational Mechanics Publications and Springer-Verlag, 1982, pp. 312-26.
13. Golberg, M. A. The numerical evaluation of particular solutions in the BEM - a review. Boundary Elements Communications, 1995.
14. Yinglong Zhan & Songping Zhu. On the choice of interpolation functions used in the dual-reciprocity boundary-element method. Engineering Analysis with Boundary Elements, 1994, 13, 387-96.
15. Kontoni, D. P., Partridge, P. W. & Brebbia, C. A. The dual reciprocity boundary element method for the eigenvalue analysis of Helmholz problems. Advanced Engineering Software, 1991, 13(1), 2-17.
16. Boyce, W. E. & DiPrima, R. C. Elementary Differential Equations and Boundary Value Problems. John Wiley, 1965.
17. Tidey, S. B. The role of secondary currents in open channel mixing. Master's thesis, University of Auckland, 1993.
18. Press, W. H., Flannery, B. P., Teukolsky, S. A. & Vetterling, W. T. Numerical Recipes - The Art of Scientific Computing. Cambridge University Press, Cambridge, 1989.
19. Bruch, J. C. & Zyvoloski, G. Transient two-dimensional heat conduction problems solved by the finite element method. International Journal of Numerical Methods in Engineering, 1974, 8, 481-94.
20. Carslaw, H. S. & Jaeger, J. C. Conduction of Heat in Solids. Oxford University Press, London, 1959.
21. Nokes, R. I. Problems in turbulent dispersion. PhD thesis, University of Canterbury, 1986.
22. Partridge, P. W. & Brebbia, C. A. The BEM dual reciprocity method for diffusion problems. In Computational Methods in Water Resources VIII Computational Mechanics Publications and Springer Verlag, 1990, pp. 397-403.