A new finite element realization of the perfectly matched layer method for Helmholtz scattering problems on polygonal domains in two dimensions

Authors:
Lin Zschiedrich;Roland Klose;Achim Schädle;Frank Schmidt
Affiliations:
Konrad-Zuse-Zentrum Berlin, Berlin-Dahlem, Germany;Konrad-Zuse-Zentrum Berlin, Berlin-Dahlem, Germany;Konrad-Zuse-Zentrum Berlin, Berlin-Dahlem, Germany;Konrad-Zuse-Zentrum Berlin, Berlin-Dahlem, Germany
Venue:
Journal of Computational and Applied Mathematics
Year:
2006

Citing 4
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Abstract

In this paper we propose a new finite element realization of the Perfectly Matched Layer method (PML-method). Our approach allows to deal with a wide class of polygonal domains and with certain types of inhomogeneous exterior domains. Among the covered inhomogeneities are open waveguide structures playing an essential role in integrated optics. We give a detailed insight into implementation aspects. Numerical examples show exponential convergence behavior to the exact solution with the thickness of the PML sponge layer.