Complex scaled infinite elements for exterior Helmholtz problems
Numerical Analysis
2019-07-24 v1 Numerical Analysis
Abstract
The technique of complex scaling for time harmonic wave type equations relies on a complex coordinate stretching to generate exponentially decaying solutions. In this work, we use a Galerkin method with ansatz functions with infinite support to discretize complex scaled Helmholtz resonance problems. We show that the approximation error of the method decays super algebraically with respect to the number of unknowns in radial direction. Numerical examples underline the theoretical findings and show the superior efficiency of our method compared to a standard perfectly matched layer method.
Cite
@article{arxiv.1907.09746,
title = {Complex scaled infinite elements for exterior Helmholtz problems},
author = {Lothar Nannen and Markus Wess},
journal= {arXiv preprint arXiv:1907.09746},
year = {2019}
}