H(curl) elements and model-reduction method for electromagnetic problems

Abstract

This paper describes a H(curl) conforming finite element method in the frequency domain and an efficient model-reduction method for the modeling of computational electromagnetic applications. The field equations are formulated using the Laplace-domain tangential vector finite element method and are reduced to lower-order models using the complex frequency hopping (CFH) technique. The CFH is a moment matching technique which has been used successfully in circuit simulation for the solution of large sets of ordinary differential equations. The proposed technique is faster than the conventional approach by one to three orders of magnitude. The accuracy and computational efficiency of the algorithm are discussed and illustrative examples are presented for cavity resonators and stripline.