A Meshless Discretization Methodology Based on Lennard-Jones Forces

A perfectly matched layer formulation based on auxiliary differential equations for truncating radial point interpolation method meshless domains

“…The main source of interest on meshless methods, such as the radial point interpolation method (RPIM) resides on the fact that they offer high degree of geometrical compliance for representing non‐rectangular objects and more efficient and precise calculations than most finite difference methods for time‐domain analysis in computational electrodynamics . Recently, completely meshless discretization methods have been proposed in Sousa and de Oliveira and de Oliveira et al and objects with complex geometries can be represented with relative simplicity.…”