Convergence of infinite element methods for scalar waveguide problems

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 i...

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Veröffentlicht in:arXiv.org 2014-09
Hauptverfasser: Hohage, Thorsten, Nannen, Lothar
Format: Artikel
Sprache:eng
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Zusammenfassung: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 bounds are compared with errors in numerical experiments.
ISSN:2331-8422
DOI:10.48550/arxiv.1409.6450