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M. Halla, L. Nannen:
"Two scale Hardy space infinite elements for scalar waveguide problems";
in: "ASC Report 17/2016", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2016, ISBN: 978-3-902627-09-4, 1 - 23.

We consider the numerical solution of the Helmholtz equation in domains with one infinite cylindrical waveguide. Such problems exhibit wavenumbers on different scales in the vicinity of cut-off frequencies. This leads to performance issues for non-modal methods like the perfectly matched layer or the Hardy space infinite element method.
We consider the numerical solution of the Helmholtz equation in domains with one infinite cylindrical waveguide. Such problems exhibit wavenumbers on different scales in the vicinity of cut-off frequencies. This leads to performance issues for non-modal methods like the perfectly matched layer or the Hardy space infinite element method.

waveguide, cut-off frequency, Wood´s anomaly, pole condition, Hardy space infinite element method

http://www.asc.tuwien.ac.at/preprint/2016/asc17x2016.pdf