Skip to main content

Part of the book series: Electric Energy Systems and Engineering Series ((ELECTRIC))

  • 1068 Accesses

Abstract

It is difficult to say who was the pioneer of the boundary element method (BEM). In Brebbia’s opinion [1], the work started in 1960s. The first book entitled Boundary Elements was published in 1978 [2]. After that BEM developed rapidly. It has been expanded so as to include time-dependent and non-linear problems [3,4]. During this time many papers [5,6], theses [7–9] and books [10–12] have been published. The method is now regarded as important as FEM. An international conference to discuss BEM is held every year and the edited proceedings are valuable references.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. C.A. Brebbia, The Boundary Element Method in Engineering Practice, Engineering Analysis, 1(1), 3–12, 1984

    Article  MathSciNet  Google Scholar 

  2. . C.A. Brebbia, Boundary Element Method. Pentech Press, 1978

    MATH  Google Scholar 

  3. C.A. Brebbia, J. Telles, L. Wrobel, Boundary Element Methods — Theory and Applications in Engineering. Springer-Verlag, 1984

    Google Scholar 

  4. K.R. Shao, K.D. Zhou, Transient Response in Slot-Embedded Conductor for Voltage Source Solved by Boundary Element Method, IEEE Trans, on Mag. 21(6), 2257–2259, 1985

    Article  Google Scholar 

  5. I.D. Mayergozy, M.V.K. Chari, A. ¡Conrad, Boundary Galerkin’s Method for Three-Dimensional Finite Element Electromagnetic Field Computation, IEEE Trans, Mag. 19(6), 2333–2336, 1983

    Article  Google Scholar 

  6. J.P. Adriaens, et al., Computation of Electric Field in HV Devices Using Boundary Element Method, 6th ISH, 33.12, 1987

    Google Scholar 

  7. T.H. Fawzi, Two-Dimensional and Quasi-Two-Dimensional Induction Problems, Ph.D. Thesis, University of Toronto, 1973

    Google Scholar 

  8. M.H. Lean, Electromagnetic Field Solution with the Boundary Element Method, Ph.D. Thesis, Winnipeg, Manitoba, Canada, 1981

    Google Scholar 

  9. M.T. Ahmed, Application of the Boundary Element Method and the Impedance Boundary Condition in T-W and 2-D Eddy Current Poblems, Ph.D. Thesis, University of Toronto, 1986

    Google Scholar 

  10. P.K. Banerjee, R. Butterfeld, Boundary Element Method in Engineering Science, McGraw-Hill, 1981

    Google Scholar 

  11. C.A. Brebbia, J. Dominguej, Boundary Elements, An Introduction Course, McGraw-Hill, 1989

    Google Scholar 

  12. C.A. Brebbia (Ed), Topics in Boundary Element Research, Vol. 6, Electromagnetic Applications, Springer-Verlag, 1989

    Google Scholar 

  13. M.H. Lean and, A. Wexler, Accurate Field Computation with Boundary Element Method, IEEE Trans, on Mag. 18(2), 331–335, 1982

    Article  Google Scholar 

  14. Kieth D. Paulsen, Calculation of Interior Values by the BEM, Communication of Applied Numerical Methods, 5(1), 7–14, 1989

    Article  Google Scholar 

  15. H. Tim & Tullberg, More on Boundary Elements for 3-Dimensional Potential Problems. In Boundary Element Methods, Proc. of 1th Int. Conf 1985. C.A. Brebbia (Ed.), Springer-Verlag, 2–13–2–14

    Google Scholar 

  16. L. Li, J. Luomi, Three-Dimensional Magnetostatic Field Analysis Using Vector Variables. In Topics in Boundary Element Research, Vol. 6. C.A. Brebbia (Ed.), Springer-Verlag, 1989

    Google Scholar 

  17. H.B. Dwight, Skin Effect in Tublar and Flat Conductors, Trans. AIEE, 37, 1379–1403, 1918

    Google Scholar 

  18. R.L. Stoll, The Analysis of Eddy Currents. Clarendon Press, Oxford, 1974

    Google Scholar 

  19. J.A. Tegopoulos, E.E. Kriezis, Eddy Current in Linear Conduction Media. Elsevier, 1985

    Google Scholar 

  20. A. Krawzyk, J. Turowski, Recent Development in Eddy Current Analysis, IEEE Trans, on Mag., 23(5), 3032–3037, 1987

    Article  Google Scholar 

  21. C.J. Carpenter, Comparison of Alternative Formulations of Three-Dimensional Magnetic Field and Eddy Current Problem at Power Frequency, Proc. IEE, 124(11), 1026–1034, 1977

    Google Scholar 

  22. T. Nakata, N. Takahashi, K. Fujwara, Y. Shrraki, Comparison of Different Finite Element for 3-D Eddy Current Analysis, IEEE Trans, on Mag., 1989

    Google Scholar 

  23. C.S. Biddlecombe, E.A. Heighway, J. Simkin, C.W. Trowbridge, Methods for Eddy Current Computation in Three Dimensions, IEEE Trans, on Mag., 18(2), 492–497, 1982

    Article  Google Scholar 

  24. J. Simkin, C.W. Trowbridge, On the Use of the Total Scalar Potential in the Numerical Solution of Field Problem in Electromagnetics, Int. J. Num. Meth. of Eng., 14, 23–44, 1979

    Google Scholar 

  25. N.W. McLachlan, Bessel Functions for Engineers, Clarendon Press, Oxford, 1955

    Google Scholar 

  26. S. Kalaichelvan, J.D. Lavers, Boundary Element Methods for Eddy Current Problems. In Topics of Boundary Element Research, Vol. 6, Electromagnetic Applications, C.A. Brebbia (Ed.), Springer-Verlag, 1989

    Google Scholar 

  27. A. Konrad, Integro-differential Finite Element Formulation of Two-Dimensional Steady-State Skin Effect, IEEE Trans, on Mag., 18(1), 284–292, 1981

    Article  Google Scholar 

  28. M. Abramowitz, I.A. Stegun (Ed.), Handbook of Mathematical Functions. Dover Publications, New York, 1970

    Google Scholar 

  29. Keith H. Burrell, Evaluation of the Modified Bessel Functions K0(z) and Kx(z) for Complex Argument [417], Communications of the ACM, 17(9), 524–526, 1974

    Article  Google Scholar 

  30. Zhou Peibai, J.D. Lavers, High Frequency Losses in Multi-Turns Coils Using a Boundary Element Model, IEEE Trans, on Mag., 22(5), 1060–1062, 1986

    Article  Google Scholar 

  31. T.H. Fawzi, M. Taher Ahmed, P.E. Burke, On the Use of the Impedance Boundary Conditions in Eddy Current Problem, IEEE Trans, on Mag., 21, 1835–1840, 1985

    Article  Google Scholar 

  32. Zhou Peibai, J.D. Lavers, On the Use of the Surface Impedence Boundary Condition in BEM for Calculating High Frequency Power Losses, Electromagnetic Fields in Electrical Engineering, Proc. of Beijing International Symposium BISEF 88, pp 469–472, 1988

    Google Scholar 

  33. I. Mayergoyz, Iteration Methods for the Calculation of Steady Magnetic Fields in Nonlinear Ferromagnetic Media, COMPEL 1(2), pp. 89–110, 1982

    Article  MATH  Google Scholar 

  34. M.H. Lean, D.S. Bloomberg, Nonlinear Boundary Element Method for Two-Dimensional Magnetostatics, J. Appl Phys. 55(6), 2195–2197, 1984

    Article  Google Scholar 

  35. K.R. Shao, K.D. Zhou, The Iterative Boundary Element Method for Nonlinear Electromagnetic Field Calculations, IEEE Trans, on Mag., 24(1), 150–152, 1988

    Article  Google Scholar 

  36. Detmar Arlt, Berechnung der Wirbelstrom-und Hystereseverluste in beliebig geformten einphasigen Kapselungen, ETZ Archiv Bd. 9, H.9, pp 275–281, 1987

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Zhou, Pb. (1993). Boundary Element Method. In: Numerical Analysis of Electromagnetic Fields. Electric Energy Systems and Engineering Series. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-50319-1_9

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-50319-1_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-50321-4

  • Online ISBN: 978-3-642-50319-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics