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Title: A stabilized least-squares radial point collocation method (LS-RPCM) for adaptive analysis
Authors: Liu, G.R. 
Kee, B.B.T.
Chun, L.
Keywords: Adaptive analysis
Error indicator
Radial basis function
Radial point collocation method
Refinement process
Stabilization technique
Issue Date: 15-Jul-2006
Citation: Liu, G.R., Kee, B.B.T., Chun, L. (2006-07-15). A stabilized least-squares radial point collocation method (LS-RPCM) for adaptive analysis. Computer Methods in Applied Mechanics and Engineering 195 (37-40) : 4843-4861. ScholarBank@NUS Repository.
Abstract: In this paper, a stabilized radial point collocation method (RPCM) that uses locally supported nodes is proposed using least-squares stabilization technique. The focus of this work is to stabilize the solution of the RPCM in order to perform adaptive analysis. Good stiffness matrix properties such as symmetric and positive definite (SPD) are gained via a least-squares procedure, and yet the formulation procedure of the stabilized LS-RPCM is still kept simple and straightforward. Adaptive analysis study has then been successfully carried out using the stabilized LS-RPCM. Error indicator based on interpolation error is adopted in the adaptive scheme for nodal refinement. Thanks for the meshfree features of the RPCM, refinement process can be easily done by inserting additional nodes based on the Voronoi diagram, without worrying about nodal connectivity in the formulation of system equations. Good numerical performance has been shown in the numerical examples presented in this paper. © 2006 Elsevier B.V. All rights reserved.
Source Title: Computer Methods in Applied Mechanics and Engineering
ISSN: 00457825
DOI: 10.1016/j.cma.2005.11.015
Appears in Collections:Staff Publications

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