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Conjugated Bubnov-Galerkin Infinite Element for Maxwell Equations

Is the or an Exact Sequence Property Important?

  • Conference paper
Compatible Spatial Discretizations

Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 142))

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Abstract

We propose a (conjugated) Bubnov-Galerkin Infinite Element (IE) discretization for the time-harmonic Maxwell scattering and radiation problems. The element falls into a family of infinite elements satisfying an exact sequence property. The exact sequence results from incorporating the far-field pattern into the anzatz for the solution and the test functions, and it differs from the standard grad-curl-div sequence. We verify the construction with 2D numerical experiments.

The work has been supported by Air Force under Contract FA9550-04-1-0050.

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Authors and Affiliations

  1. Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX, 78712

    L. Demkowicz & J. Kurtz

Authors
  1. L. Demkowicz
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  2. J. Kurtz
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Editor information

Editors and Affiliations

  1. Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN, 55455, USA

    Douglas N. Arnold

  2. Computational Mathematics and Algorithms Department, Sandia National Laboratories, Alburquerque, NM, 87185-1110, USA

    Pavel B. Bochev  & Richard B. Lehoucq  & 

  3. Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA, 15213-3890, USA

    Roy A. Nicolaides

  4. Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM, 87545, USA

    Mikhail Shashkov

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© 2006 Springer Science+Business Media, LLC

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Demkowicz, L., Kurtz, J. (2006). Conjugated Bubnov-Galerkin Infinite Element for Maxwell Equations. In: Arnold, D.N., Bochev, P.B., Lehoucq, R.B., Nicolaides, R.A., Shashkov, M. (eds) Compatible Spatial Discretizations. The IMA Volumes in Mathematics and its Applications, vol 142. Springer, New York, NY. https://doi.org/10.1007/0-387-38034-5_7

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