A 3-D Radial Point Interpolation Method for Meshless Time-Domain Modeling

In this paper, the radial point interpolation method, one of the meshless numerical techniques that has recently emerged in the area of computational electromagnetics, is extended to three dimensions for time-domain electromagnetic modeling. Its capabilities of conformal and multiscale modeling of arbitrary geometries over conventional grid-based numerical techniques are numerically validated and evaluated. A general approach to determining the numerical stability condition of the method is described. Consequently, this study presents another possible approach to automatic meshing of complex structures and an adaptive scheme for numerical solution refinements.