International Journal of Civil Engineering
IJCE
Engineering & Technology
http://ijce.iust.ac.ir
18
agent2
1735-0522
2383-3874
10.22068/IJCE
en
jalali
1387
12
1
gregorian
2009
3
1
7
1
online
1
fulltext
en
Collocation Discrete Least Square (CDLS) Method for Elasticity Problems
Research Paper
Research Paper
<font size="1" face="Times-Italic"><font size="1" face="Times-Italic"><p align="left">A meshless approach, collocation discrete least square (CDLS) method, is extended in this paper, for solving</p><p align="left">elasticity problems. In the present CDLS method, the problem domain is discretized by distributed field nodes. The field</p><p align="left">nodes are used to construct the trial functions. The moving least-squares interpolant is employed to construct the trial</p><p align="left">functions. Some collocation points that are independent of the field nodes are used to form the total residuals of the</p><p align="left">problem. The least-squares technique is used to obtain the solution of the problem by minimizing the summation of the</p><p align="left">residuals for the collocation points. The final stiffness matrix is symmetric and therefore can be solved via efficient</p><p align="left">solvers. The boundary conditions are easily enforced by the penalty method. The present method does not require any</p><p align="left">mesh so it is a truly meshless method. Numerical examples are studied in detail, which show that the present method</p><p align="left">is stable and possesses good accuracy, high convergence rate and high efficiency.</p></font></font>
Meshless method, MLS, Least square technique, CDLS, Elasticity
10
18
http://ijce.iust.ac.ir/browse.php?a_code=A-10-3-140&slc_lang=en&sid=en
Mohammad
Naisipour
m_naisipour@civil.iust.ac.ir
`18003194753284600402`

18003194753284600402
No
Mohammad Hadi
Afshar
mhafshar@iust.ac.ir
`18003194753284600403`

18003194753284600403
Yes
Behrooz
Hassani
b_hassani@yahoo.com
`18003194753284600404`

18003194753284600404
No
Ali
Rahmani Firoozjaee
ar_firoozjaee@ yahoo.com
`18003194753284600405`

18003194753284600405
No