TY - JOUR
T1 - Collocation Discrete Least Square (CDLS) Method for Elasticity Problems
TT -
JF - IJCE
JO - IJCE
VL - 7
IS - 1
UR - http://ijce.iust.ac.ir/article-1-191-en.html
Y1 - 2009
SP - 10
EP - 18
KW - Meshless method
KW - MLS
KW - Least square technique
KW - CDLS
KW - Elasticity
N2 - A meshless approach, collocation discrete least square (CDLS) method, is extended in this paper, for solvingelasticity problems. In the present CDLS method, the problem domain is discretized by distributed field nodes. The fieldnodes are used to construct the trial functions. The moving least-squares interpolant is employed to construct the trialfunctions. Some collocation points that are independent of the field nodes are used to form the total residuals of theproblem. The least-squares technique is used to obtain the solution of the problem by minimizing the summation of theresiduals for the collocation points. The final stiffness matrix is symmetric and therefore can be solved via efficientsolvers. The boundary conditions are easily enforced by the penalty method. The present method does not require anymesh so it is a truly meshless method. Numerical examples are studied in detail, which show that the present methodis stable and possesses good accuracy, high convergence rate and high efficiency.
M3
ER -