Multipoint Galerkin asymptotic waveform evaluation

A novel model order reduction technique is coupled with the finite element method (FEM) to provide solutions to antenna radiation problems. This technique, known as multipoint Galerkin asymptotic waveform evaluation (MGAWE), can be used to reduce matrices describing electromagnetic phenomena generated through the FEM to a smaller space while still accurately approximating the characteristics of the original responses. The resulting solution procedure of using MGAWE to solve FEM equations allows for wideband frequency simulations with a reduction in total computation time. Numerical simulations using this method are shown along with the traditional method of using an LU decomposition at each frequency point of interest. Comparisons in accuracy as well as computation time are also given.