International Journal of Energy and Power Engineering

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FEMAG: A High Performance Parallel Finite Element Toolbox for Electromagnetic Computations

Received: 9 November 2015    Accepted: 9 November 2015    Published: 30 November 2015
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Abstract

This paper presents a parallel finite element toolbox for computing large electromagnetic devices on unstructured tetrahedral meshes, FEMAG—Fem for ElectroMagnetics on Adaptive Grids. The finite element toolbox deals with unstructured tetrahedral meshes and can solve electromagnetic eddy current problems in both frequency domain and time domain. It adopts high-order edge element methods and refines the mesh adaptively based on reliable and efficient finite element a posteriori error estimates. We demonstrate the competitive performance of FEMAG by extensive numerical experiments, including TEAM (Testing Electromagnetic Analysis Methods) Problem 21 and the simulation for a single-phase power transformer.

DOI 10.11648/j.ijepe.s.2016050101.19
Published in International Journal of Energy and Power Engineering (Volume 5, Issue 1-1, February 2016)

This article belongs to the Special Issue Numerical Analysis, Material Modeling and Validation for Magnetic Losses in Electromagnetic Devices

Page(s) 57-64
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

FEMAG, Eddy Current Problem, Adaptive Finite Element Method, Parallel Computation, Large Electromagnetic Device

References
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[2] Z. Cheng, N. Takahashi, and B. Forghani, “TEAM Problem 21 Family (V.2009)”, approved by the International Compumag Society. [Online] Available: http://www.compumag.org/jsite/team.
[3] I. Babuska and W. C. Rheinboldt, “Error estimates for adaptive finite element computations,” SIAM J. Numer. Anal., vol. 15, no. 4, pp. 736–754, Aug. 1978.
[4] J. Chen, Z. Chen, T. Cui, and L.-B. Zhang, “An adaptive finite element method for the eddy current model with circuit/field couplings,” SIAM J. Sci. Comput., vol. 32, no. 2, pp. 1020–1042, Mar. 2010.
[5] W. Zheng, Z. Chen, and L. Wang, “An adaptive finite element method for the H–ψ formulation of time-dependent eddy current problems”, Numer. Math., 103 (2006), pp. 667–689.
[6] Z. Chen, L. Wang, and W. Zheng, “An adaptive multilevel method for time–harmonic maxwell equations with singularities,” SIAM J. Sci. Comput., vol. 29, no. 1, pp. 118–138, Jan. 2007.
[7] L.-B. Zhang, “A parallel algorithm for adaptive local refinement of tetrahedral meshes using bisection,” Numer. Math. Theory, Methods, Appl., vol. 2, no. 1, pp. 65–89, 2009.
[8] J.N. Nédélec, “A new family of mixed finite elements in R3”, Numer. Math., vol. 50, no. 1, pp. 57-81, 1986.
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[10] V. E. Henson and U. M. Yang, “BoomerAMG: A parallel algebraic multigrid solver and preconditioner,” Appl. Numer. Math., vol. 41, no. 1, pp. 155–177, Apr. 2002.
[11] X. Jiang and W. Zheng, “An efficient eddy current model for nonlinear Maxwell equations with laminated conductors”, SIAM J. Appl. Math., 72 (2012), pp. 1021–1040.
[12] W. Zheng and Z. Cheng, “An inner-constrained separation technique for 3D finite element modeling of GO silicon steel laminations”, IEEE Trans. Magn., 12 (2012), pp. 667–689.
[13] X. Jiang and W. Zheng, “Homogenization of quasi-static Maxwell’s equations”, Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 12(2014). pp. 152-180.
[14] W. Guo and I. Babuska, The h-p version of the finite element method. Part 2. General results and applications, Comput. Mech. 1 (1986) 203--226.
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  • APA Style

    Tao Cui, Xue Jiang, Weiying Zheng. (2015). FEMAG: A High Performance Parallel Finite Element Toolbox for Electromagnetic Computations. International Journal of Energy and Power Engineering, 5(1-1), 57-64. https://doi.org/10.11648/j.ijepe.s.2016050101.19

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    ACS Style

    Tao Cui; Xue Jiang; Weiying Zheng. FEMAG: A High Performance Parallel Finite Element Toolbox for Electromagnetic Computations. Int. J. Energy Power Eng. 2015, 5(1-1), 57-64. doi: 10.11648/j.ijepe.s.2016050101.19

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    AMA Style

    Tao Cui, Xue Jiang, Weiying Zheng. FEMAG: A High Performance Parallel Finite Element Toolbox for Electromagnetic Computations. Int J Energy Power Eng. 2015;5(1-1):57-64. doi: 10.11648/j.ijepe.s.2016050101.19

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  • @article{10.11648/j.ijepe.s.2016050101.19,
      author = {Tao Cui and Xue Jiang and Weiying Zheng},
      title = {FEMAG: A High Performance Parallel Finite Element Toolbox for Electromagnetic Computations},
      journal = {International Journal of Energy and Power Engineering},
      volume = {5},
      number = {1-1},
      pages = {57-64},
      doi = {10.11648/j.ijepe.s.2016050101.19},
      url = {https://doi.org/10.11648/j.ijepe.s.2016050101.19},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijepe.s.2016050101.19},
      abstract = {This paper presents a parallel finite element toolbox for computing large electromagnetic devices on unstructured tetrahedral meshes, FEMAG—Fem for ElectroMagnetics on Adaptive Grids. The finite element toolbox deals with unstructured tetrahedral meshes and can solve electromagnetic eddy current problems in both frequency domain and time domain. It adopts high-order edge element methods and refines the mesh adaptively based on reliable and efficient finite element a posteriori error estimates. We demonstrate the competitive performance of FEMAG by extensive numerical experiments, including TEAM (Testing Electromagnetic Analysis Methods) Problem 21 and the simulation for a single-phase power transformer.},
     year = {2015}
    }
    

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    AU  - Tao Cui
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    JF  - International Journal of Energy and Power Engineering
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    AB  - This paper presents a parallel finite element toolbox for computing large electromagnetic devices on unstructured tetrahedral meshes, FEMAG—Fem for ElectroMagnetics on Adaptive Grids. The finite element toolbox deals with unstructured tetrahedral meshes and can solve electromagnetic eddy current problems in both frequency domain and time domain. It adopts high-order edge element methods and refines the mesh adaptively based on reliable and efficient finite element a posteriori error estimates. We demonstrate the competitive performance of FEMAG by extensive numerical experiments, including TEAM (Testing Electromagnetic Analysis Methods) Problem 21 and the simulation for a single-phase power transformer.
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Author Information
  • National Center for Mathematics and Interdisciplinary Sciences, State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China

  • Department of Mathematics, Beijing University of Posts and Telecommunications, Beijing, China

  • National Center for Mathematics and Interdisciplinary Sciences, State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China

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