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Boundary Element Methods pp 11–20Cite as

Implementation of FE-BE Hybrid Techniques into Finite Element Programs

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Abstract

Infinite boundary elements (IBE) in both 2-D and 3-D have been implemented in a general purpose finite element program for use in conjunction with finite elements (FE) to solve unbounded magnetic field problems. The advantage of the IBE’s, in addition to reduced model size, is that they do not destroy the bandedness of the finite element matrices as do boundary elements (BE). In contrast to the infinite finite element (IFE) usage, these IBE’s do not require definition of nodes in excess of the ones already introduced for the interior FE domain, thus simplifying modelling efforts further. The IBE formulations presented here produce unsymmetric matrices. An attempt is made to symmetrize the IBE matrices. The example problems presented demonstrate that the loss of accuracy in solutions due to the symmetrization is insignificant.

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Author information

Authors and Affiliations

  1. Swanson Analysis Systems, Inc., P.O.Box 65, Johnson Road, Houston, PA, 15342-0065, USA

    Ashraf Ali & Dale Ostergaard

Authors
  1. Ashraf Ali
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  2. Dale Ostergaard
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Editor information

Editors and Affiliations

  1. Division of Global Environment Engineering, Kyoto University, 606-01, Kyoto, Japan

    S. Kobayashi  & N. Nishimura  & 

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© 1992 Springer-Verlag Berlin Heidelberg

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Ali, A., Ostergaard, D. (1992). Implementation of FE-BE Hybrid Techniques into Finite Element Programs. In: Kobayashi, S., Nishimura, N. (eds) Boundary Element Methods. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-06153-4_2

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  • DOI: https://doi.org/10.1007/978-3-662-06153-4_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-06155-8

  • Online ISBN: 978-3-662-06153-4

  • eBook Packages: Springer Book Archive

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