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Electrical, Control and Communication Engineering

The Journal of Riga Technical University

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2255-9159
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Finite Element Tearing and Interconnecting Method and its Algorithms for Parallel Solution of Magnetic Field Problems

Dániel Marcsa / Miklós Kuczmann
Published Online: 2013-09-05 | DOI: https://doi.org/10.2478/ecce-2013-0011

Abstract

Because of the exponential increase of computational resource requirement for numerical field simulations of more and more complex physical phenomena and more and more complex large problems in science and engineering practice, parallel processing appears to be an essential tool to handle the resulting large-scale numerical problems. One way of parallelization of sequential (singleprocessor) finite element simulations is the use of domain decomposition methods. Domain decomposition methods (DDMs) for parallel solution of linear systems of equations are based on the partitioning of the analyzed domain into sub-domains which are calculated in parallel while doing appropriate data exchange between those sub-domains. In this case, the non-overlapping domain decomposition method is the Lagrange multiplier based Finite Element Tearing and Interconnecting (FETI) method. This paper describes one direct solver and two parallel solution algorithms of FETI method. Finally, comparative numerical tests demonstrate the differences in the parallel running performance of the solvers of FETI method. We use a single-phase transformer and a three-phase induction motor as twodimensional static magnetic field test problems to compare the solvers

Keywords : High performance computing; parallel processing; finite element analysis; magnetic fields

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About the article

Dániel Marcsa

Dániel Marcsa was born in Keszthely, 8th of August, 1984, in Hungary. He has become B.Sc. in Electrical Engineering in 2008, and M.Sc. in Mechatronics Enginnering in 2010 at the Széchenyi Istvan University. He is recently a Ph.D. student at the Széchenyi István University, Győr, Hungary. His research is on static magnetic and eddy current potential formulations, numerical simulation of the electric machines by finite element method, and non-overlapping domain decomposition techniques in electromagnetic computation. He is an active member of the Laboratory of Electromagnetic Field and Hungarian Electrotechnical Association, and member of IEEE and International COMPUMAG Society. He received the Best Presenter Award at the 6th International PhD & DLA Symposium in 2010. Postal address: Széchenyi István University, Department of Automation, H-9026, Győr, Egyetem tér 1., Hungary.

Miklós Kuczmann

Miklós Kuczmann was born in Kapuvár, 31st of May, 1977, in Hungary. He has become M.Sc. in Electrical Engineering in 2000, and Ph.D. in Electrical Engineering in 2005 at the Budapest University of Technology and Economics, Department of Electromagnetic Theory. He is presently the head of the Department of Automation, Széchenyi István University, Győr, Hungary, where he is full professor since 2012. Dr. Kuczmann has won the Bolyai János Scholarship from the Hungarian Academy of Sciences in 2006, and the “Best PhD Dissertation” award in 2006 from the same Institute. Postal address: Széchenyi István University, Department of Automation, H-9026, Győr, Egyetem tér 1., Hungary.


Published Online: 2013-09-05

Published in Print: 2013-08-01


Citation Information: Electrical, Control and Communication Engineering, ISSN (Online) 2255-9159, ISSN (Print) 2255-9140, DOI: https://doi.org/10.2478/ecce-2013-0011.

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