Please use this identifier to cite or link to this item: https://doi.org/10.1007/s00466-005-0003-z
Title: A mesh-free minimum length method for 2-D problems
Authors: Liu, G.R. 
Dai, K.Y. 
Han, X.
Li, Y.
Keywords: Interpolation function
Mesh-free method
Meshless method
Minimum length method
Radial basis function (RBF)
Issue Date: Nov-2006
Source: Liu, G.R.,Dai, K.Y.,Han, X.,Li, Y. (2006-11). A mesh-free minimum length method for 2-D problems. Computational Mechanics 38 (6) : 533-550. ScholarBank@NUS Repository. https://doi.org/10.1007/s00466-005-0003-z
Abstract: A mesh-free minimum length method (MLM) has been proposed for 2-D solids and heat conduction problems. In this method, both polynomials as well as modified radial basis functions (RBFs) are used to construct shape functions for arbitrarily distributed nodes based on minimum length procedure, which possess Kronecker delta property. The shape functions are then used to formulate a mesh-free method based on weak-form formulation. Both Gauss integration (GI) and stabilized nodal integration (NI) are employed to numerically evaluate Galerkin weak form. The numerical examples show that the MLM achieves better accuracy than the 4-node finite elements especially for problems with steep gradients. The method is easy to implement and works well for irregularly distributed nodes. Some numerical implementation issues for MLM are also discussed in detail.
Source Title: Computational Mechanics
URI: http://scholarbank.nus.edu.sg/handle/10635/51296
ISSN: 01787675
DOI: 10.1007/s00466-005-0003-z
Appears in Collections:Staff Publications

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

SCOPUSTM   
Citations

5
checked on Dec 5, 2017

WEB OF SCIENCETM
Citations

3
checked on Nov 4, 2017

Page view(s)

49
checked on Dec 9, 2017

Google ScholarTM

Check

Altmetric


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