Convergence of infinite element methods for scalar waveguide problems
Numerical Analysis
2015-04-01 v1
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.
Cite
@article{arxiv.1409.6450,
title = {Convergence of infinite element methods for scalar waveguide problems},
author = {Thorsten Hohage and Lothar Nannen},
journal= {arXiv preprint arXiv:1409.6450},
year = {2015}
}