Parametrized Local Reduced-Order Models With Compressed Projection Basis for Fast Parameter-Dependent Finite-Element Analysis

Abstract

This paper proposes an automated parametric local model-order reduction scheme for the expedited design of microwave devices using the full-wave finite-element method (FEM). The approach proposed here results in parameterized reduced-order models (ROMs) that account for the geometry and material variation in the selected subregion of the structure. In each subregion, a parameter-dependent projection basis is generated by concatenating several local bases that correspond to different parameter values, yielding a small, dense ROM. The process is automated and uses an adaptive scheme guided by a local goal-oriented error estimator to select points in the parameter space at which a local basis needs to be computed. A two-stage basis compression technique is also proposed to remove the redundancy from the projection basis and yields compact macromodels. Numerical examples, including FE analysis of a fifth-order filter with seven geometric variables as parameters, demonstrate that the approach provides a significant reduction in computational time while preserving the accuracy of the simulations.