Meshless local Petrov-Galerkin method with radial basis functions applied to electromagnetics

Meshless methods are a new class of numerical techniques for solving partial differential equations and have attracted considerable attention in computational mechanics in recent years. Owing to the ´mesh-free´ characteristic, these methods offer some advantages over the conventional mesh-based finite-element techniques. A formulation for the meshless local Petrov-Galerkin method is described and its application to electromagnetic modelling investigated.