Terminating the iterative process for the Galerkin asymptotic waveform evaluation model order reduction technique

After a mathematical model of a problem of interest has been generated, model order reduction (MORe) may be applied to obtain a smaller representation of the original mathematical model. This smaller representation is sometimes referred to as a reduced order model (ROM). A ROM may be desirable in a fast frequency sweep, for instance, because solving the model with fewer unknowns can be more efficient than solving the original model. One important issue associated with MORe techniques is that of how to determine the size (order) of the ROM. This issue is addressed in this paper for the MORe technique known as Galerkin asymptotic waveform evaluation (GAWE), which is a technique that can efficiently handle not only an open domain antenna radiation problem, but also the more complicated open domain scattering problem. Finally, a numerical example is given in which a scattering problem modeled using the finite element method (FEM) is solved.