New Insights in Boundary-only and Domain-type RBF Methods

International Journal of Nonlinear Sciences and Numerical Simulation

Volumn 1, Issue 3, 2000, Pages 145-152

  Chen, W ^a   Tanaka, M ^a  

^a SHINSHU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 23044522396     PISSN: 15651339     EISSN: None     Source Type: Journal    
DOI: 10.1515/IJNSNS.2000.1.3.145     Document Type: Article

References (9)

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3. Kitagawa, T., Asymptotic stability of the fundamental solution method. Journal of Computational and Applied Mathematics, 38(1991), 263-269.
4. Chen, W. and Tanaka, M., Boundary knot method :A meshless, exponential convergence, integration-free, and boundary- only RBF technique, (submitted), 2000.
5. Partridge, P. W., Brebbia, C. A. and Wrobel, L. W., The Dual Reciprocity Boundary Element Method, Comput. Mech. Pubi., 1992.
6. Duchon, J., Splines minimizing rotation invariant semi-norms in Sobolov spaces, in :Constructive Theory of Functions of Several Variables, Springer-Verlag, Berlin, 1976.
7. Kansa, E. J. and Hon, Y. C., Circumventing the ill-conditioning problem with multiquadric radial basis functions :applications to elliptic partial differential equations, Comput. Math. Appls., 39 (2000) 123-137.
8. Beatson, R. K. and Newsam, G. N., Fast evaluation of radial basis functions :Moment-based methods, SIAM J. Sci. Comput., 19 (1998), 1428-1449.
9. Piltner, R., Recent development in the Trefftz method for finite element and boundary element application, Advances in Engineering Software, 2 (1995), 107-115.