Macromodels for efficient FEM simulations of waveguides and resonators

This paper introduces a novel technique for enhancing the efficiency of the finite element method (FEM) by incorporating special modules, called macromodels, into the standard eigenvalue formulation. The number of unknowns in the separated macromodel subdomain can be significantly reduced by orthogonal projection, using the efficient nodal order reduction algorithm. The idea of macromodels implementation is demonstrated on a simple one-dimensional numerical example. High accuracy and efficiency make it a promising methodology for further developments.