Please use this identifier to cite or link to this item: https://doi.org/10.1002/nme.2587
Title: On the essence and the evaluation of the shape functions for the smoothed finite element method (SFEM)
Authors: Liu, G.R. 
Nguyen-Thoi, T.
Nguyen-Xuan, H.
Dai, K.Y.
Lam, K.Y.
Issue Date: 2009
Source: Liu, G.R., Nguyen-Thoi, T., Nguyen-Xuan, H., Dai, K.Y., Lam, K.Y. (2009). On the essence and the evaluation of the shape functions for the smoothed finite element method (SFEM). International Journal for Numerical Methods in Engineering 77 (13) : 1863-1869. ScholarBank@NUS Repository. https://doi.org/10.1002/nme.2587
Abstract: This paper is written in response to the recently published paper (Int. J. Numer. Meth. Engng 2008; 76:1285-1295) at IJNME entitled 'On the smoothed finite element method' (SFEM) by Zhang HH, Liu SJ, Li LX. In this paper we (1) repeat briefly the important essence of the original SFEM presented in (Comp. Mech. 2007; 39: 859-877; Int. J. Numer. Meth. Engng 2007; 71:902-930; Int. J. Numer. Meth. Engng 2008; 74:175-208; Finite Elem. Anal. Des. 2007; 43:847-860; J. Sound Vib. 2007; 301:803-820), and (2) examine further issues in the evaluation of the shape functions used in the SFEM. It will be shown that the 'SFEM' presented in paper (Int. J. Numer. Meth. Engng 2008; 76:1285-1295) is not at all our original SFEM presented in (Comp. Mech. 2007; 39:859-877; Int. J. Numer. Meth. Engng 2007; 71:902-930; Int. J. Numer. Meth. Engng 2008; 74:175-208; Finite Elem. Anal. Des. 2007; 43:847-860; J. Sound Vib. 2007; 301:803-820). Therefore, all these 'Theorems', 'Corollaries' and 'Remarks' presented in paper (Int. J. Numer. Meth. Engng 2008; 76:1285-1295) have nothing to do with our original SFEM. The properties of the original SFEM stand as they were presented in our original papers (Comp. Mech. 2007; 39:859-877; Int. J. Numer. Meth. Engng 2007; 71:902-930; Int. J. Numer. Meth. Engng 2008; 74:175-208; Finite Elem. Anal. Des. 2007; 43:847-860; J. Sound Vib. 2007; 301:803-820). Finally, we brief on our advancements made far beyond our original SFEM and our visions on future numerical methods. Copyright © 2009 John Wiley & Sons, Ltd.
Source Title: International Journal for Numerical Methods in Engineering
URI: http://scholarbank.nus.edu.sg/handle/10635/60985
ISSN: 00295981
DOI: 10.1002/nme.2587
Appears in Collections:Staff Publications

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

SCOPUSTM   
Citations

40
checked on Dec 14, 2017

WEB OF SCIENCETM
Citations

39
checked on Nov 18, 2017

Page view(s)

26
checked on Dec 10, 2017

Google ScholarTM

Check

Altmetric


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