Derivation of high order absorbing boundary conditions for the Helmholtz equation in 2D

Hélène Barucq 1, 2 Morgane Bergot 3, 4 Juliette Chabassier 1 Elodie Estecahandy 1, 2
1 Magique 3D - Advanced 3D Numerical Modeling in Geophysics
LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau], Inria Bordeaux - Sud-Ouest
3 MMCS - Modélisation mathématique, calcul scientifique
ICJ - Institut Camille Jordan [Villeurbanne]
4 KALiFFE - Kinetic models AppLIed for Future of Fusion Energy
Inria Grenoble - Rhône-Alpes, ICJ - Institut Camille Jordan [Villeurbanne], INSMI (CNRS)
Abstract : We present high order absorbing boundary conditions (ABC)for the Helmholtz equation in 2D, that can adapt to any regular shapedsurfaces. The new ABCs are derived by using the technique ofmicro-diagonalisation to approximate the Dirichlet-to-Neumann map.Numerical results on different shapes illustrate the behavior of thenew ABCs along with high-order finite elements.
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Hélène Barucq, Morgane Bergot, Juliette Chabassier, Elodie Estecahandy. Derivation of high order absorbing boundary conditions for the Helmholtz equation in 2D. [Research Report] RR-8632, INRIA Bordeaux; INRIA. 2014. ⟨hal-01085180⟩

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