Publications in Scientific Journals:
L. Nannen, A. Schädle:
"Hardy space infinite elements for Helmholtz-type problems with unbounded inhomogeneities";
Wave Motion,
48
(2011),
2;
116
- 129.
English 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 relies 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.
Keywords:
Helmholtz equation; Resonance; Scattering; Transparent boundary condition; Non-reflecting boundary condition; Pole condition; Hardy space; Infinite element method
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1016/j.wavemoti.2010.09.004
Created from the Publication Database of the Vienna University of Technology.