On the optimal shape parameters of radial basis functions used for 2-D meshless methods

Computer Methods in Applied Mechanics and Engineering

Volumn 191, Issue 23-24, 2002, Pages 2611-2630

  Wang, J G ^a   Liu, G R ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Meshless method; Optimal shape parameters; Radial basis function; Stress analysis

Indexed keywords

APPROXIMATION THEORY; POLYNOMIALS; RADIAL BASIS FUNCTION NETWORKS;

OPTIMAL SHAPE PARAMETERS;

MECHANICAL ENGINEERING;

STRESS;

EID: 0037192730     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(01)00419-4     Document Type: Article

References (22)

1. A point interpolation meshless method based on radial basis functions
2. Meshless methods: An overview and recent developments
3. Theory and applications of the multiquadrics-biharmonic method (20 years of discovery 1968-1988)
4. Some studies on dual reciprocity BEM for elastodynamic analysis
5. Error estimates and condition numbers for radial basis function interpolation
6. The uniform convergence of thin plate splines in two dimensions
7. A scattered data approximation scheme with application to computational fluid-dynamics-I and II
8. Solving partial differential equations by collocation with radial basis functions
9. Meshless Galerkin method using radial basis functions
10. Some recent results and proposals for the use of radial basis functions in the BEM
11. On the use of radial basis functions in the solution of elliptic boundary value problems
12. Meshless methods based on collocation with radial basis functions
13. Scattered data interpolation: Test of some methods
14. An algorithm for selecting a good value for the parameter c in radial basis function interpolation
15. 2 in multiquadric interpolation
16. Improved multiquadric approximation for partial differential equations
17. Some comments on the use of radial basis functions in the dual reciprocity method
18. Bounds on multivariate polynomials and exponential error-estimates for multiquadric interpolation
19. The theory of radial basis function approximation in 1990
20. A review of algorithms for thin plate spline interpolation in two dimensions
21. Error estimates for approximation by radial basis functions