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arXiv · 1409.6450

Convergence of infinite element methods for scalar waveguide problems

Thorsten Hohage·Lothar Nannen
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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 bounds are compared with errors in numerical experiments.

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Thorsten Hohage, Lothar Nannen. 2014-09-23. Convergence of infinite element methods for scalar waveguide problems. https://doi.org/10.1007/s10543-014-0525-x

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