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Title: Point interpolation method based on local residual formulation using fadial basis functions
Authors: Liu, G.R. 
Yan, L.
Wang, J.G. 
Gu, Y.T.
Keywords: Background integration
Meshless method
Point interpolation
Radial basis function
Issue Date: Dec-2002
Citation: Liu, G.R.,Yan, L.,Wang, J.G.,Gu, Y.T. (2002-12). Point interpolation method based on local residual formulation using fadial basis functions. Structural Engineering and Mechanics 14 (6) : 713-732. ScholarBank@NUS Repository.
Abstract: A local radial point interpolation method (LRPIM) based on local residual formulation is presented and applied to solid mechanics in this paper. In LRPIM, the trial function is constructed by the radial point interpolation method (PIM) and establishes discrete equations through a local residual formulation, which can be carried out nodes by nodes. Therefore, element connectivity for trial function and background mesh for integration is not necessary. Radial PIM is used for interpolation so that singularity in polynomial PIM may be avoided. Essential boundary conditions can be imposed by a straightforward and effective manner due to its Delta properties. Moreover, the approximation quality of the radial PIM is evaluated by the surface fitting of given functions. Numerical performance for this LRPIM method is further studied through several numerical examples of solid mechanics.
Source Title: Structural Engineering and Mechanics
ISSN: 12254568
Appears in Collections:Staff Publications

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