en 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=1 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