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High-order absorbing boundary conditions with edge and corner compatibility for the Helmholtz equation

Axel Modave 1 Vanessa Mattesi 2 Christophe Geuzaine 2
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
CNRS - Centre National de la Recherche Scientifique : UMR7231, UMA - Unité de Mathématiques Appliquées, Inria Saclay - Ile de France
Abstract : We deal with the finite element solution of 3D time-harmonic acoustic wave problems defined on unbounded domains, but computed using cuboidal computational domains with artificial boundaries. We combine a standard finite element method for the Helmholtz equation with high-order absorbing boundary conditions (on the faces of the domain) and compatibility relations (on the edges and the corners) that provide an arbitrary high accuracy.
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https://hal.archives-ouvertes.fr/hal-01588749
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Axel Modave, Vanessa Mattesi, Christophe Geuzaine. High-order absorbing boundary conditions with edge and corner compatibility for the Helmholtz equation. ACOMEN 2017 - 7th International Conference on Advanced Computational Methods in Engineering, Sep 2017, Ghent, Belgium. ⟨hal-01588749⟩

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