Since the seminal work of Idelsohn, O\~nate and Del-Pin (2004), Particle Finite Element Method (PFEM) has relied on a Delaunay triangulation Alpha--Shape (AS) algorithm in remeshing process. This approach guarantees good quality Lagrangian mesh, but introduces list shortcomings that demand geometrical treatments tailored to each problem. In order improve process PFEM, this proposes use Level--S...