Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.enganabound.2007.11.011
Title: A least-square radial point collocation method for adaptive analysis in linear elasticity
Authors: Kee, B.B.T.
Liu, G.R. 
Lu, C.
Keywords: Adaptive analysis
Delaunay diagram
Error estimator
Meshfree method
Radial basis function
Residual
Strong formulation
Issue Date: Jun-2008
Source: Kee, B.B.T., Liu, G.R., Lu, C. (2008-06). A least-square radial point collocation method for adaptive analysis in linear elasticity. Engineering Analysis with Boundary Elements 32 (6) : 440-460. ScholarBank@NUS Repository. https://doi.org/10.1016/j.enganabound.2007.11.011
Abstract: This paper presents a least-square radial point collocation method (LS-RPCM) that is formulated based on the strong formulation and the local approximation using radial basis functions (RBFs). Aiming to solve the instability problem observed in the conventional RPCM using local nodes, a simple and yet effective procedure that uses the well-known least-square technique in a carefully designed manner has been proposed to restore the stability. Since stable solution can now be obtained, the LS-RPCM is then extended for adaptive analysis. Attractive features of the meshfree strong-form method that facilitate the implementation of adaptive analysis are demonstrated via a number of examples in this work. A robust residual based error estimator and a simple refinement procedure using Delaunay diagram are adopted in our adaptive scheme. Stable and accurate results are obtained in all the numerical examples. © 2007 Elsevier Ltd. All rights reserved.
Source Title: Engineering Analysis with Boundary Elements
URI: http://scholarbank.nus.edu.sg/handle/10635/54300
ISSN: 09557997
DOI: 10.1016/j.enganabound.2007.11.011
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

22
checked on Dec 7, 2017

WEB OF SCIENCETM
Citations

23
checked on Nov 23, 2017

Page view(s)

27
checked on Dec 11, 2017

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.