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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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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DOI: https://doi.org/10.1007/0-387-38034-5_7
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