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arXiv · 1004.1025

Hardy space infinite elements for Helmholtz-type problems with unbounded inhomogeneities

Lothar Nannen·Achim Schädle
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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.

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BibTeXRIS

Lothar Nannen, Achim Schädle. 2010-04-07. Hardy space infinite elements for Helmholtz-type problems with unbounded inhomogeneities. https://arxiv.org/abs/1004.1025

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