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Title: Radial point interpolation based finite difference method for mechanics problems
Authors: Liu, G.R. 
Zhang, J. 
Li, H.
Lam, K.Y.
Kee, B.B.T.
Keywords: Generalized finite difference method
Meshfree method
Numerical analysis
Radial basis function
Radial point interpolation
Issue Date: 12-Nov-2006
Source: Liu, G.R., Zhang, J., Li, H., Lam, K.Y., Kee, B.B.T. (2006-11-12). Radial point interpolation based finite difference method for mechanics problems. International Journal for Numerical Methods in Engineering 68 (7) : 728-754. ScholarBank@NUS Repository.
Abstract: A radial point interpolation based finite difference method (RFDM) is proposed in this paper. In this novel method, radial point interpolation using local irregular nodes is used together with the conventional finite difference procedure to achieve both the adaptivity to irregular domain and the stability in the solution that is often encountered in the collocation methods. A least-square technique is adopted, which leads to a system matrix with good properties such as symmetry and positive definiteness. Several numerical examples are presented to demonstrate the accuracy and stability of the RFDM for problems with complex shapes and regular and extremely irregular nodes. The results are examined in detail in comparison with other numerical approaches such as the radial point collocation method that uses local nodes, conventional finite difference and finite element methods. Copyright © 2006 John Wiley & Sons, Ltd.
Source Title: International Journal for Numerical Methods in Engineering
ISSN: 00295981
DOI: 10.1002/nme.1733
Appears in Collections:Staff Publications

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