Enrichment and coupling of the finite element and meshless methods

A mixed hierarchical approximation based on nite elements and meshless methods is presented. Two cases are considered. The rst one couples regions where nite elements or meshless methods are used to interpolate: continuity and consistency is preserved. The second one enriches a nite element mesh with particles. Thus, there is no need to remesh in adaptive re nement processes. In both cases the same formulation is used, convergence is studied and examples are shown