High-order fundamental and general solutions of convection-diffusion equation and their applications with boundary particle method

Engineering Analysis with Boundary Elements

Volumn 26, Issue 7, 2002, Pages 571-575

  Chen, W ^a  

^a SIMULA RESEARCH LABORATORY   (Norway)

Author keywords

Boundary particle method; High order fundamental solution; High order general solution; Meshfree; Multiple reciprocity BEM; Radial basis function

Indexed keywords

BOUNDARY ELEMENT METHOD; GREEN'S FUNCTION; HEAT CONVECTION;

CONVECTION-DIFFUSION EQUATION;

DIFFUSION;

EID: 0036666005     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0955-7997(02)00026-7     Document Type: Article

References (12)

1. Nowak A.J., Neves A.C. The multiple reciprocity boundary element method. 1994;Computational Mechanics Publications, Southampton.
2. Chen W. New RBF collocation schemes and their applications. International Workshop Meshfree Methods for Partial Differential Equations, Bonn, Germany; September 2001.
3. Chen W, Tanaka M. Relationship between boundary integral equation and radial basis function. The 52nd Symposium of Japan Society for Computational Methods in Engineering on BEM, Tokyo; 2000.
4. Chen W., He J. A study on radial basis function and quasi-Monte Carlo methods. Int J Nonlinear Sci Numer Simul. 1:(4):2000;337-342.
5. Partridge P.W., Brebbia C.A., Wrobel L.W. The dual reciprocity boundary element method. 1992;Computational Mechanics Publications, Southampton.
6. Chen W., Tanaka M. A meshless, exponential convergence, integration-free, and boundary-only RBF technique. Comput Math Appl. 43:2002;379-391.
7. Kansa E.J. Multiquadrics: a scattered data approximation scheme with applications to computational fluid-dynamics. Comput Math Appl. 19:1990;147-161.
8. Itagaki M. Higher order three-dimensional fundamental solutions to the Helmholtz and the modified Helmholtz equations. Engng Anal Bound Elem. 15:1995;289-293.
9. Li B.Q., Evans J.W. Boundary element solution of heat convection-diffusion problems. J Comput Phys. 93:1991;225-272.
10. Chen W. RBF-based meshless boundary knot method and boundary particle method. Proceedings of the China Congress on Computational Mechanics, Guangzhou, China; December 2001.
11. Golberg M.A., Chen C.S. The method of fundamental solutions for potential, Helmholtz and diffusion problems. Golberg M.A. Boundary integral methods - numerical and mathematical aspects. 1998;103-176 Computational Mechanics Publications, Southampton.
12. Fasshauer G.E. Solving partial differential equations by collocation with radial basis functions. Mehaute A., Rabut C., Schumaker L. Proceedings of Chamonix. 1996;1-8.