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Error Bounded Formulations in Electromagnetism

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Industrial Electromagnetics Modelling

Part of the book series: Developments in Electromagnetic Theory and Applications ((DETA,volume 1))

Abstract

This paper seeks to show, in a relatively general way, that it is possible to choose different formulations of electromagnetic field problems in such a way that the variational solutions obtained are error bounded. This makes the technique suitable for use with the finite element method, and can lead to substantial economies in computer usage.

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References

  1. Arthurs, A.M. ‘Complementary variational principles’, published O.U.P.,1970

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  2. Fraser, J.R. ‘Complementary and dual finite element principles’, Ph.D. Thesis, Department of Engineering, University of Aberdeen, 1982

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  3. Hammond, P., Penman, J. ‘Calculation of inductance and Capacitance by means of dual energy principles’, Proc. IEE, Vol. 123, No. 6, 1976, pp 554–559

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  4. Hammond, P., Penman, J. ‘Calculation of eddy currents by dual energy methods’, Proc. IEE, Vol. 125, No. 7, 1978, pp 701–708

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  5. Penman, J., Fraser, J.R., ‘Complementary and dual energy finite element principles in magnetostatics’, Trans. IEEE (Mag), Vol. 18 No. 2, 1982, pp 319–324

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  6. Penman, J., Fraser, J.R. ‘The efficient calculation of electrostatic fields in large systems’, Electrostatics 83, pub. Inst. Phys., 1983, pp 243–248

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  7. Tonti, E. ‘On a mathematical structure of a large class of physical theories’, Acad. Naz. dei Lineei, Vol. LII, Sine III, 1972, pp 48–56

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Author information

Authors and Affiliations

  1. Department of Engineering, University of Aberdeen, UK

    J. Penman

  2. McDermott Engineering Ltd., USA

    J. R. Fraser

Authors
  1. J. Penman
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  2. J. R. Fraser
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Editor information

Editors and Affiliations

  1. Newcastle upon Tyne Polytechnic, UK

    J. Caldwell  & R. Bradley  & 

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© 1983 Martinus Nijhoff Publishers, The Hague

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Cite this paper

Penman, J., Fraser, J.R. (1983). Error Bounded Formulations in Electromagnetism. In: Caldwell, J., Bradley, R. (eds) Industrial Electromagnetics Modelling. Developments in Electromagnetic Theory and Applications, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6917-9_5

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  • DOI: https://doi.org/10.1007/978-94-009-6917-9_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-6919-3

  • Online ISBN: 978-94-009-6917-9

  • eBook Packages: Springer Book Archive

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