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Domain Decomposition Algorithms for Parallel Solution of Magnetic Field Problems D ÁNIEL M ARCSA, M IKLÓS K UCZMANN Laboratory of Electromagnetic Field, Department of Automation „Széchenyi István“ University, H-9026, Egyetem tér 1, Győr, Hungary 13th International Symposium Estonia, P ä rnu, January 14-19, 2013 SZÉCHENYI ISTVÁN UNIVERSITY LABORATORY OF ELECTROMAGNTIC FIELDS SZÉCHENYI ISTVÁN UNIVERSITY

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LABORATORY OF ELECTROMAGNTIC FIELDS SZÉCHENYI ISTVÁN UNIVERSITY The Idea of Domain Decomposition Divide the domain Ω into several sub-domains in which the unknown potentials could be calculated simultaneously. 13th International Symposium Estonia, Pärnu, January 14-19, 2013 D. Marcsa, M. Kuczmann

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LABORATORY OF ELECTROMAGNTIC FIELDS SZÉCHENYI ISTVÁN UNIVERSITY FETI Method D. Marcsa, M. Kuczmann 13th International Symposium Estonia, Pärnu, January 14-19, 2013 Linear algebraic problem Interface problem Direct solver Modified CG Preconditioned Mod. CG

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LABORATORY OF ELECTROMAGNTIC FIELDS SZÉCHENYI ISTVÁN UNIVERSITY Floating Subdomains D. Marcsa, M. Kuczmann Subdomains with Neumann boundary condition. Subdomains with Dirichlet boundary condition. 13th International Symposium Estonia, Pärnu, January 14-19, 2013

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LABORATORY OF ELECTROMAGNTIC FIELDS SZÉCHENYI ISTVÁN UNIVERSITY Test Problems D. Marcsa, M. Kuczmann Single-phase shell type transformer Three-phase induction motor 13th International Symposium Estonia, Pärnu, January 14-19, 2013

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LABORATORY OF ELECTROMAGNTIC FIELDS SZÉCHENYI ISTVÁN UNIVERSITY Transformer – DoF D. Marcsa, M. Kuczmann Comparison of sequential and parallel finite element program. No. of Int. N. MCG iter. PMGC iter th International Symposium Estonia, Pärnu, January 14-19, 2013

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LABORATORY OF ELECTROMAGNTIC FIELDS SZÉCHENYI ISTVÁN UNIVERSITY Induction Motor – DoF D. Marcsa, M. Kuczmann Comparison of domain decomposition methods for a larger problem. No. of Int. N. MGC iter. PMGC iter th International Symposium Estonia, Pärnu, January 14-19, 2013

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LABORATORY OF ELECTROMAGNTIC FIELDS SZÉCHENYI ISTVÁN UNIVERSITY Transformer – DoF D. Marcsa, M. Kuczmann Comparison of domain decomposition methods for a problem with floating subdomain. No. of Int. N. PMGC iter th International Symposium Estonia, Pärnu, January 14-19, 2013

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LABORATORY OF ELECTROMAGNTIC FIELDS SZÉCHENYI ISTVÁN UNIVERSITY Conclusion and Future Work D. Marcsa, M. Kuczmann The speedup achieved nearly 11- fold, 3-fold, and 2-fold speedup. Seems to be the direct solver is the fastest. However, if the problem contain floating subdomain the PMCG is best solver. Implemented the DP-FETI method, which does not use floating subdomain. Used the domain decomposition methods for „real life” electromagnetic problems. 13th International Symposium Estonia, Pärnu, January 14-19, 2013

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