Reliable Greedy Multipoint Model-Order Reduction Techniques for Finite-Element Analysis

A new greedy multipoint model-order reduction algorithm for fast frequency-domain finite-element method simulations of electromagnetic problems is proposed. The location of the expansion points and the size of the projection basis are determined based on a rigorous error estimator. Compared to previous multipoint methods, the quality of the error estimator is significantly improved by ensuring the orthogonality of the projection basis vectors at each stage of the model-order reduction algorithm. Numerical studies show that the new algorithm yields compact and highly accurate reduced-order models.