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Non-Standard Nodal Boundary Elements for FEM-BEM

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Intelligent Computer Techniques in Applied Electromagnetics

Part of the book series: Studies in Computational Intelligence ((SCI,volume 119))

Abstract

This paper presents a novel family of nodal boundary elements to be used in the context of the hybrid FEM-BEM method to deal with unbounded static and quasi-static electromagnetic field problems. In this new type of boundary elements the field variable is developed by means of classical polynomial shape functions of a given order, whereas its normal derivative is developed with lower-order shape functions. A numerical example is provided regarding a simple electrostatic problem.

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References

  1. P. P. Silvester and R. L. Ferrari, Finite Elements for Electrical Engineers, Cambridge University Press, Cambridge, UK, 1996.

    Google Scholar 

  2. P. Bettess, Infinite elements, Int. J. Numer. Methods Eng., vol. 11, pp. 53–64, 1977.

    Article  MATH  Google Scholar 

  3. D. A. Lowther, E. M. Freeman, and B. Forghani, A sparse matrix open boundary method for finite element analysis, IEEE Trans. Magn., vol. 25, pp. 2810–2812, July 1989.

    Article  Google Scholar 

  4. C. A. Brebbia, J. C. F. Telles, and L. C. Wrobel, Boundary Element Technique, Springer-Verlag, Berlin Heidelberg New York, 1984.

    Google Scholar 

  5. S. J. Salon and J. D’Angelo, Applications of the hybrid finite element – boundary element method in electromagnetics, IEEE Trans. Magn., vol. 24, pp. 80–85, Jan. 1988.

    Article  Google Scholar 

  6. G. Aiello, S. Alfonzetti, and S. Coco, Charge iteration: a procedure for the finite element computation of unbounded electrical fields, Int. J. Numer. Methods Eng., vol. 37, pp. 4147–4166, Dec. 1994.

    Article  MATH  Google Scholar 

  7. G. Aiello, S. Alfonzetti, and G. Borzì, A generalized minimal residual acceleration of the charge iteration procedure, J. Phys. III, vol. 7, pp. 1955–1966, Oct. 1997.

    Article  Google Scholar 

  8. G. Aiello, S. Alfonzetti, S. Coco, and N. Salerno, Finite element iterative solution to skin effect problems in open boundaries, Int. J. Numer. Modelling, Special issue on ‘Computational Magnetics’, vol. 9, pp. 125–143, Jan.–April 1996.

    Article  Google Scholar 

  9. G. Aiello, S. Alfonzetti, G. Borzì, and N. Salerno, An improved solution scheme for open-boundary skin effect problems, IEEE Trans. Magn., vol. 37, pp. 3474–3477, Sept. 2001.

    Article  Google Scholar 

  10. G. Aiello, S. Alfonzetti, and E. Dilettoso, Finite element solution of eddy current problems in unbounded domains by means of the hybrid FEM-DBCI method, IEEE Trans. Magn., vol. 39, pp. 1409–1412, May 2003.

    Article  Google Scholar 

  11. G. H. Golub and C. F. Van Loan, Matrix Computations, J. Hopkins University Press, Baltimore, USA, 1996.

    MATH  Google Scholar 

  12. G. Aiello, S. Alfonzetti, E. Dilettoso, and N. Salerno, An iterative solution to FEM-BEM algebraic systems for open-boundary electrostatic problems, IEEE Trans. Magn., vol. 43, pp. 1249–1252, April 2007.

    Article  Google Scholar 

  13. G. Aiello, S. Alfonzetti, G. Borzì, E. Dilettoso, and N. Salerno, Solution of linear FEM-BEM systems for electrostatic field problems by means of GMRES, International Symposium on Electric and Magnetic Fields (EMF), Aussois (F), June 19–22, 2006.

    Google Scholar 

  14. Y. Saad and M. H. Schultz, GMRES: a generalized minimal residual algorithm for solving non-symmetric linear systems, SIAM J. Sci. Stat. Comput., vol. 7, pp. 856–869, 1986.

    Article  MATH  MathSciNet  Google Scholar 

  15. E. Durand, Electrostatique, Masson Ed., Paris, 1968.

    Google Scholar 

  16. G. Aiello, S. Alfonzetti, G. Borzì, and N. Salerno, An overview of the ELFIN code for finite element research in electrical engineering, in Software for Electrical Engineering Analysis and Design, A. Konrad and C. A. Brebbia (ed.), WIT Press, Southampton, UK, 1999.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Dipartimento di Ingegneria Elettrica, Elettronica e dei Sistemi, Università di Catania, Viale A. Doria 6, I-95125, Catania, Italy

    Salvatore Alfonzetti & Nunzio Salerno

Authors
  1. Salvatore Alfonzetti
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  2. Nunzio Salerno
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Editor information

Editors and Affiliations

  1. Institute of Mechatronics and Information Systems, Technical University of Lodz, ul. Stefanowskiego 18/22, 90-924, Lodz, Poland

    Sławomir Wiak

  2. Central Institute for Labour Protection, ul. Czerniakowska 16, 00-701, Warsaw, Poland

    Andrzej Krawczyk

  3. Faculty of Electrical Engineering Department of Electrical Power Engineering, Czech Technical University in Prague, Technická 2, 166 27, Praha 6, Czech Republic

    Ivo Dolezel

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Alfonzetti, S., Salerno, N. (2008). Non-Standard Nodal Boundary Elements for FEM-BEM. In: Wiak, S., Krawczyk, A., Dolezel, I. (eds) Intelligent Computer Techniques in Applied Electromagnetics. Studies in Computational Intelligence, vol 119. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78490-6_6

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  • DOI: https://doi.org/10.1007/978-3-540-78490-6_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-78489-0

  • Online ISBN: 978-3-540-78490-6

  • eBook Packages: EngineeringEngineering (R0)

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