Axisymmetric electromagnetic resonant cavities solution by a Meshless Local Petrov-Galerkin method

This work describes a meshless approach to obtain the resonant frequencies of axisymmetric electromagnetic cavities. The Meshless Local Petrov-Galerkin is used with shape functions generated by Moving Least Squares. Boundary conditions are imposed by a collocation method that does not require integrations. The proposed analysis has a simple implementation and reduces computational effort. Results for TE and TM modes of a spherical cavity are in agreement with analytical solutions.