Collocation Discrete Least Square (CDLS) Method for Elasticity Problems

A meshless approach, collocation discrete least square (cdls) method, is extended in this paper, for solvingelasticity problems. in the present cdls nzethod, the problem domain is discretired by distributedfield nodes. thefieldnodes are used to construct the trial functions. the moving least-squares interpolant is employed to construct the trial[unctions. senne collocation points that are independent o] the field nodes are used to [orm the total residuals o] theproblem. the least-squares technique is used to obtain the solution of the problem by minimizing the summation oftheresiduals [or 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.