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Finite Integration Method and Discrete Electromagnetism

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Book cover Computational Electromagnetics

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

Summary

We review some basic properties of the Finite Integration Technique (FIT), a generalized finite difference scheme for the solution of Maxwell’s equations. Special emphasis is put on its relations to the Finite Difference Time Domain (FDTD) method, as both algorithms are found to be computationally equivalent for the special case of an explicit time-stepping scheme with Cartesian grids. The more general discretization approach of the FIT, however, inherently includes an elegant matrix-vector notation, which enables the application of powerful tools for the analysis of consistency, stability, and other issues. On the implementation side this leads to many important consequences concerning the basic method as well as all kinds of extensions.

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Author information

Authors and Affiliations

  1. Faculty of Electrical Engineering and Information Technology, Technische Universitt Darmstadt, Schlossgartenstr. 8, D-64289, Germany

    Thomas Weiland

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  1. Thomas Weiland
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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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© 2003 Springer-Verlag Berlin Heidelberg

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Weiland, T. (2003). Finite Integration Method and Discrete Electromagnetism. 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_12

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  • DOI: https://doi.org/10.1007/978-3-642-55745-3_12

  • 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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