Automating multipoint Galerkin AWE for a FEM fast frequency sweep

Model-order reduction (MORe) is a process in which the number of unknowns in a mathematical representation of a problem is decreased. It is of academic interest to show that a particular MORe technique is capable of decreasing the simulation time required to find a numerical solution to a problem of interest. However, for a MORe technique to be practical, many more issues other than showing a computational speedup must be addressed. In this paper, some important issues associated with practical applications of the fast frequency sweep MORe technique known as multipoint Galerkin asymptotic waveform evaluation (MGAWE) are discussed, namely, how many expansion points to use, where to pick them, and the order of the subspace to generate at each of them. By addressing these issues, MGAWE can be automated so no user intervention is required. The accuracy and efficiency of the proposed method are illustrated via the finite-element method.