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An Investigation of the Least-Squares Finite Element Method in Electromagnetism

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Coupling of Fluids, Structures and Waves in Aeronautics

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Summary

The least-squares FEM applied directly to Maxwell’s equations is investigated as an alternative to the Galerkin FEM. The least-squares FEM is introduced via a simple model problem. Determinacy and ellipticity of the Maxwell system is investigated using Clifford algebra. Some simple results for a practical component are presented.

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References

  1. A. Bossavit. “Whitney forms: a class of finite elements for three-dimensional computations in electromagnetism”. IEE PROCEEDINGS, Vol. 135, Pt. A, (8), Nov. 1988, pp 493–500.

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  7. N. Yuan, J. S. Kot, A. J. Parfitt. “Analysis of Rotman lenses using a hybrid least-squares FEM / transfinite element method”, IEE Proc Microwaves Antennas Propag, vol. 148 (3), 2001, pp 193–198.

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Author information

Authors and Affiliations

  1. CSIRO Radiophysics Laboratory, PO Box 76, Epping, 1710, Australia

    John Kot

Authors
  1. John Kot
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Editor information

Editors and Affiliations

  1. CSIRO Mathematical and Information Science, Locked Bag 17, 1670, North Ryde, NSW, Australia

    Noel G. Barton

  2. PĂ´le Scientifique, Dassault Aviation/UPMC, 78 Quai Marcel Dassault, 92214, Saint-Cloud, France

    Jacques Periaux

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© 2003 Springer-Verlag Berlin Heidelberg

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Kot, J. (2003). An Investigation of the Least-Squares Finite Element Method in Electromagnetism. In: Barton, N.G., Periaux, J. (eds) Coupling of Fluids, Structures and Waves in Aeronautics. Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM), vol 85. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44873-0_19

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  • DOI: https://doi.org/10.1007/978-3-540-44873-0_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07294-9

  • Online ISBN: 978-3-540-44873-0

  • eBook Packages: Springer Book Archive

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