On the element free galerkin method in the static analysis for the 2-D elastic linear problem

The present method is a nieshless method, as it does not need a "finite element mesh" and it is only composed by the particles with theirs "compact support" (the influence domain) in the whole domain. Specially, the shape functions are not satisfying the Kronecker delta property, therefore, in this paper, we must enforce the esseutial boundary conditions by the Lagrangian multipliers method.