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Boundary Element Methods for Eddy Current Computation

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Computational Electromagnetics

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 28))

Summary

This paper studies numerical methods for eddy current problems in the case of homogeneous, isotropic, and linear materials. It provides a survey of approaches that entirely rely on boundary integral equations and their conforming Galerkin discretization. The pivotal role of potentials is discussed, as well as the topological issues raised by their use. Direct boundary integral equations and the so-called symmetric coupling of the integral equations corresponding to the conductor and the non-conducting regions is employed. It gives rise to coupled variational problems that are elliptic in suitable trace spaces. This implies quasi-optimal convergence of Galerkin boundary element schemes.

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Authors and Affiliations

  1. Seminar für Angewandte Mathematik, ETH Zürich, CH-8092, Zürich

    Ralf Hiptmair

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  1. Ralf Hiptmair
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Editor information

Editors and Affiliations

  1. Department of Mathematical Sciences, University of Delaware, Newark, DE, 19717, USA

    Peter Monk

  2. Institute for Applied Mathematics, Vienna University of Technology, Wiedner Hauptstraße 8-10, 1040, Vienna, Austria

    Carsten Carstensen

  3. Institute of Mathematics, University of Erlangen-Nürnberg, Bismarckstraße 1 1/2, 91054, Erlangen, Germany

    Stefan Funken

  4. Max-Planck-Institute for Mathematics in the Sciences, Inselstraße 22, 04103, Liepzig, Germany

    Wolfgang Hackbusch

  5. Department of Mathematics, University of Augsburg, Universitätsstraße 14, 86159, Augsburg, Germany

    Ronald H. W. Hoppe

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Hiptmair, R. (2003). Boundary Element Methods for Eddy Current Computation. In: Monk, P., Carstensen, C., Funken, S., Hackbusch, W., Hoppe, R.H.W. (eds) Computational Electromagnetics. Lecture Notes in Computational Science and Engineering, vol 28. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55745-3_8

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  • DOI: https://doi.org/10.1007/978-3-642-55745-3_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44392-6

  • Online ISBN: 978-3-642-55745-3

  • eBook Packages: Springer Book Archive

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