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