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
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
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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Communication dans un congrès
ACOMEN 2017 - 7th International Conference on Advanced Computational Methods in Engineering, Sep 2017, Ghent, Belgium. Book of abstracts of the 7th International Conference on Advanced Computational Methods in Engineering, ACOMEN 2017, 2017
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Dernière modification le : jeudi 11 janvier 2018 - 06:20:23
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  • HAL Id : hal-01588749, version 1

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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. Book of abstracts of the 7th International Conference on Advanced Computational Methods in Engineering, ACOMEN 2017, 2017. 〈hal-01588749〉

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