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2013-05-19

Multilevel Model Order Reduction with Generalized Compression of Boundaries for 3-D FEM Electromagnetic Analysis

By Grzegorz Fotyga, Krzysztof Nyka, and Michal Mrozowski
Progress In Electromagnetics Research, Vol. 139, 743-759, 2013
doi:10.2528/PIER13032708

Abstract

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 efficiently 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 field at the macro-elements' boundaries is projected onto the subspace spanned by Legendre polynomials and trigonometric functions. The results of the numerical experiments confirm the validity and efficiency of the presented approach.

Citation


Grzegorz Fotyga, Krzysztof Nyka, and Michal Mrozowski, "Multilevel Model Order Reduction with Generalized Compression of Boundaries for 3-D FEM Electromagnetic Analysis," Progress In Electromagnetics Research, Vol. 139, 743-759, 2013.
doi:10.2528/PIER13032708
http://www.jpier.org/PIER/pier.php?paper=13032708

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