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Contributions to Books:

T. Hohage, L. Nannen:
"Convergence of infinite element methods for scalar waveguide problems";
in: "ASC Report 31/2013", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2013, ISBN: 978-3-902627-06-3, 1 - 36.



English abstract:
We consider the numerical solution of scalar wave equations in domains which are the union of a bounded domain and a finite number of infinite cylindrical waveguides. The aim of this paper is to provide a new convergence analysis of both the Perfectly Matched Layer (PML) method and the Hardy space infinite element
method in a unified framework. We treat both diffraction and resonance
problems. The theoretical error boundes are compared with errors in numerical experiments.


Electronic version of the publication:
http://www.asc.tuwien.ac.at/preprint/2013/asc31x2013.pdf


Created from the Publication Database of the Vienna University of Technology.