Performance assessment of a new class of local absorbing boundary conditions for elliptical- and prolate spheroidal-shaped boundaries

Hélène Barucq 1, 2 Rabia Djellouli 1 Anne-Gaëlle Saint-Guirons 1, 2, *
* Auteur correspondant
1 Magique 3D - Advanced 3D Numerical Modeling in Geophysics
LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau], Inria Bordeaux - Sud-Ouest
Abstract : New approximate local DtN boundary conditions are proposed to be applied on elliptical- or prolate-spheroid exterior boundaries when solving respectively two- or three-dimensional acoustic scattering problems by elongated obstacles. These new absorbing conditions are designed to be exact for the first modes. They can be easily incorporated in any finite element parallel code while preserving the local structure of the algebraic system. Unlike the standard approximate local DtN boundary conditions that are restricted to circular- or spherical-shaped boundaries, the proposed conditions are applicable to exterior elliptical-shaped boundaries that are more suitable for surrounding elongated scatterers because they yield to smaller computational domains. The mathematical and numerical analysis of the effect of the frequency and the eccentricity values of the boundary on the accuracy of these conditions, when applied for solving radiating and scattering problems, reveals - in particular - that the new second-order DtN boundary condition retains a good level of accuracy, in the low frequency regime, regardless of the slenderness of the boundary.
Type de document :
Article dans une revue
Applied Numerical Mathematics, Elsevier, 2009, 59 (7), pp.1467-1498. 〈10.1016/j.apnum.2008.10.001〉
Liste complète des métadonnées

Littérature citée [28 références]  Voir  Masquer  Télécharger

https://hal.inria.fr/inria-00338494
Contributeur : Anne-Gaëlle Saint-Guirons <>
Soumis le : jeudi 13 novembre 2008 - 14:45:39
Dernière modification le : jeudi 11 janvier 2018 - 06:22:12
Document(s) archivé(s) le : lundi 7 juin 2010 - 21:22:51

Fichier

APNUM_revised151008.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Collections

Citation

Hélène Barucq, Rabia Djellouli, Anne-Gaëlle Saint-Guirons. Performance assessment of a new class of local absorbing boundary conditions for elliptical- and prolate spheroidal-shaped boundaries. Applied Numerical Mathematics, Elsevier, 2009, 59 (7), pp.1467-1498. 〈10.1016/j.apnum.2008.10.001〉. 〈inria-00338494〉

Partager

Métriques

Consultations de la notice

406

Téléchargements de fichiers

188