2026-09-19T23:47:53Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/46727 2023-07-11 col_2142_5131 col_2142_8888 com_2142_5130 com_2142_8887 com_2142_234

http://hdl.handle.net/2142/46727 en Copyright 2013 Wang Yao Finite-element analysis Domain Decomposition dual-primal finite element tearing and interconnecting (FETI-DP) Electric machines Accurate, efficient, and stable domain decomposition methods for analysis of electromechanical problems text Jin, Jianming Jin, Jianming Krein, Philip T. Sauer, Peter W. Schutt-Ainé, José E. Yao, Wang 2014-01-16T18:00:27Z 2014-01-16T18:00:27Z 2013-12 2014-01-16T18:00:27Z 2013-12 In this dissertation, advanced and robust numerical algorithms are developed to expand the capability and improve the efficiency of the finite-element analysis of electromechanical problems. First, the formulation of the dual-primal finite element tearing and interconnecting (FETI-DP) method is presented in details. With the FETI-DP method, an original large-scale problem is decomposed into smaller subdomain problems and parallel computing schemes are then employed to reduce the computation time significantly. Second, the tree-cotree splitting (TCS) method is adopted to deal with the low-frequency breakdown problem, which often accompanies the finite-element analysis of electromechanical problems. Third, higher-order hierarchical basis functions are implemented to improve the accuracy of the simulation and also to facilitate the treatment of the low-frequency breakdown problem. Fourth, the LU recombination method is adopted as an alternative for solving the low-frequency breakdown problem. Since the LU recombination method deals with the system matrices directly, it is a more general approach which can be applied across different basis functions or even different numerical methods. Various numerical examples are presented to validate the proposed algorithm and demonstrate its performance and applications. Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2013-09-25T16:08:48Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Yao_Wang.pdf: 3931458 bytes, checksum: a21ad978f4e1249d07065e141a237139 (MD5) Made available in DSpace on 2014-01-16T18:00:27Z (GMT). No. of bitstreams: 2 Wang_Yao.pdf: 3931458 bytes, checksum: f8788340c28c4467eb3d1211168d510c (MD5) license.txt: 4058 bytes, checksum: 1c5ea59b039ada5bf90736fad6b4e7f0 (MD5) Electrical & Computer Eng 1933 Electrical & Computer Engr 1200 University of Illinois at Urbana-Champaign Dissertation Ph.D. PHD:Electr & Computer Eng-UIUC 10KS1200PHD