Hardy space infinite elements for Helmholtz-type problems with unbounded inhomogeneities
Numerical Analysis
2010-04-08 v1
Abstract
This paper introduces a class of approximate transparent boundary conditions for the solution of Helmholtz-type resonance and scattering problems on unbounded domains. The computational domain is assumed to be a polygon. A detailed description of two variants of the Hardy space infinite element method which relays on the pole condition is given. The method can treat waveguide-type inhomogeneities in the domain with non-compact support. The results of the Hardy space infinite element method are compared to a perfectly matched layer method. Numerical experiments indicate that the approximation error of the Hardy space decays exponentially in the number of Hardy space modes.
Cite
@article{arxiv.1004.1025,
title = {Hardy space infinite elements for Helmholtz-type problems with unbounded inhomogeneities},
author = {Lothar Nannen and Achim Schädle},
journal= {arXiv preprint arXiv:1004.1025},
year = {2010}
}