Method of fundamental solutions with dual reciprocity for diffusion and diffusion-convection using subdomains

Engineering Analysis with Boundary Elements

Volumn 24, Issue 9, 2000, Pages 633-641

  Partridge, P W ^a   Sensale, B ^b  

^a UNIVERSITY OF BRASILIA   (Brazil)

^b UNIVERSIDAD DE LA REPÚBLICA   (Uruguay)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL GEOMETRY; GALERKIN METHODS; HEAT CONVECTION; INTEGRATION;

DUAL RECIPROCITY; MODIFIED HELMHOLTZ EQUATIONS; NEUMANN-DIRICHLET BOUNDARY CONDITIONS; POLYHARMONIC SPLINES;

THERMAL DIFFUSION IN SOLIDS;

EID: 0034297885     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0955-7997(00)00043-6     Document Type: Article

References (21)

1. Bogomolny A. Fundamental solutions method for elliptic boundary value problems. Society for Industrial and Applied Mathematics Journal. 22:1984;644-669.
2. Patterson C., Sheikh M.A. A modified Trefftz method for three dimensional elasticity. Brebbia C.A. Boundary elements. 1983;Springer, Berlin.
3. Redekop D., Thompson J.C. Use of fundamental solutions in the collocation method in axisymmetric elastostatics. Computers and Structures. 17:1983;485-490.
4. Golberg M.A. The method of fundamental solutions for Poisson's equation. Engineering Analysis with Boundary Elements. 16:1995;205-213.
5. Chen C.S. The method of fundamental solutions for non-linear thermal explosions. Communications in Numerical Methods in Engineering. 11:1995;675-681.
6. Golberg M.A., Chen C.S., Karur S.R. Improved multiquadric approximation for partial differential equations. Engineering Analysis with Boundary Elements. 18:1996;9-17.
7. Nardini D., Brebbia C.A. A new approach for free vibration analysis using boundary elements. Brebbia C.A. Boundary element methods in engineering. 1982;312-326 Springer, Berlin.
8. Partridge P.W., Brebbia C.A., Wrobel L.C. The dual reciprocity boundary element method. 1992;Computational Mechanics Publications/Elsevier, Southampton, UK/Amsterdam.
9. Yamada T., Wrobel L.C., Power H. On the convergence of the dual reciprocity boundary element method. Engineering Analysis with Boundary Elements. 13:1994;291-298.
10. Muleshkov A.S., Golberg M.A., Chen C.S. Particular solutions of Helmholtz-type operators using higher order polynomial splines. Journal of Computational Mechanics. 23:1999;311-419.
11. Golberg M.A., Chen C.S. The theory of radial basis functions applied to the BEM for inhomogeneous partial differential equations. Boundary Element Communications. 5:1994;57-61.
12. Golberg M.A., Chen C.S., Muleshkov A.S. The method of fundamental solutions for time-dependent problems. Chen C.S., Brebbia C.A., Pepper D.W. Boundary element technology. vol. XIII:1999;377-386 WIT Press.
13. Tanaka M., Matsumoto T., Yang Q.F. Timestepping boundary element method applied to 2-D transient heat conduction problems. Applied Mathematical Modelling. 18:1994;569-576.
14. Roures V., Alarcon E. Transient heat conduction problems using BIEM. Computers and Structures. 16:1983;717-730.
15. Partridge P.W. Transport analysis using boundary elements. 1993;Computational Mechanics Publications, Southampton, UK.
16. Popov V., Power H. The DRM-MD integral equation method; an efficient approach for the numerical solution of domain dominant problems. International Journal for Numerical Methods in Engineering. 44:1999;327-353.
17. Bruch J.C., Zyvoloski G. Transient two dimensional heat conduction problems solved by the finite element method. International Journal for Numerical Methods in Engineering. 8:1974;481-494.
18. Carslaw H.S., Jaeger J.C. Conduction of heat in solids. 1959;Oxford University Press, Oxford, UK.
19. Golberg M.A., Chen C.S., Rashed Y.F. The annihilator method for computing particular solutions to partial differential equations. Engineering Analysis with Boundary Elements. 23:1999;275-279.
20. DeFigueiredo D.B. Boundary element analysis of convection diffusion problems. Lecture notes in engineering series. 1991;Springer, Berlin.
21. Bridges T.R., Wrobel L.C. A DRM formulation for elasticity problems with body forces using augmented thin plate splines. Communications in Numerical Methods in Engineering. 12:1996;209-220.