{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/81126"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/81126","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Development and Application of the Feti-Dpem Algorithm for Analysis of Three-Dimensional Large-Scale Electromagnetic Problems","abstract":"The dissertation first briefly introduces the basics of the frequency-domain (FD) FEM in electromagnetics (EM), which includes the discussion of ABCs for the open-region analysis. It is then followed by a detailed study of the FETI-DPEM1 algorithm to show its efficiency and capability. The applications of the FETI-DPEM1 are then further extended to the analysis of complex PhC devices, which provides a fast and accurate solution to the numerical analysis of 3D PhCs. The FETI-DPEM2 algorithm with an excellent numerical scalability is then presented together with the details of its parallel implementation using the message passing interface (MPI). (Abstract shortened by UMI.).","abstract_html":"The dissertation first briefly introduces the basics of the frequency-domain (FD) FEM in electromagnetics (EM), which includes the discussion of ABCs for the open-region analysis. It is then followed by a detailed study of the FETI-DPEM1 algorithm to show its efficiency and capability. The applications of the FETI-DPEM1 are then further extended to the analysis of complex PhC devices, which provides a fast and accurate solution to the numerical analysis of 3D PhCs. The FETI-DPEM2 algorithm with an excellent numerical scalability is then presented together with the details of its parallel implementation using the message passing interface (MPI). 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