Journal
BIT NUMERICAL MATHEMATICS
Volume 55, Issue 1, Pages 215-254Publisher
SPRINGER
DOI: 10.1007/s10543-014-0525-x
Keywords
Transparent boundary conditions; Waveguide; Perfectly matched layer; Hardy space infinite elements
Funding
- German Science Foundation [HO 2551/5]
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We consider the numerical solution of scalar wave equations in domains which are the union of a bounded domain and a finite number of infinite cylindrical waveguides. The aim of this paper is to provide a new convergence analysis of both the perfectly matched layer method and the Hardy space infinite element method in a unified framework. We treat both diffraction and resonance problems. The theoretical error bounds are compared with errors in numerical experiments.
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