MULTILEVEL MODEL ORDER REDUCTION WITH GENERALIZED COMPRESSION OF BOUNDARIES FOR 3-D FEM ELECTROMAGNETIC ANALYSIS

This paper presents a multilevel Model Order Reduction technique for a 3-D electromagnetic Finite Element Method analysis. The reduction process is carried out in a hierarchical way and involves several steps which are repeated at each level. This approach brings about versatility and allows one to e-ciently analyze complex electromagnetic structures. In the proposed multilevel reduction the entire computational domain is covered with macro-elements which are subsequently nested, in such a way that size of the problem which has to be reduced at each level is relatively small. In order to increase the speed of the reduction at each level, the electric fleld at the macro-elements' boundaries is projected onto the subspace spanned by Legendre polynomials and trigonometric functions. The results of the numerical experiments conflrm the validity and e-ciency of the presented approach.