Enrichment of weighted least-squares approaches for potential problems in engineering applications

Abstract

[Abstract] In this paper, we review one of the meshless methods proposed in last years for solving boundary value problems based on a weighed least square methods. Furthermore, we analyze the use of enrichment techniques of the solution in order to improve the computational cost. These methods allow to introduce some information about the solution in the numerical formulation. Finally, some 1D and 2D examples to some test problems are presented.