[en] In this paper, we are concerned with the construction of a new high-order Absorbing Boundary Condition (ABC) for 2D-elastic scattering problems. It is defined by an approximate local Dirichlet-to-Neumann (DtN) map. First, we explain the derivation of this approximation. Next, a detailed analytical study in terms of Hankel functions in the circular case is addressed. The new ABC is compared with the standard low-order Lysmer–Kuhlemeyer ABC. Finally, its accuracy and efficiency are investigated for various numerical examples, particularly at high frequencies.
Disciplines :
Mathematics
Author, co-author :
Mattesi, Vanessa ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)
Darbas, Marion; Université de Picardie Jules Verne > Laboratoire amiénois de mathématique fondamentale et appliquée
Geuzaine, Christophe ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)
Language :
English
Title :
A high-order absorbing boundary condition for 2D time-harmonic elastodynamic scattering problems
Publication date :
15 March 2019
Journal title :
Computers and Mathematics with Applications
ISSN :
0898-1221
eISSN :
1873-7668
Publisher :
Elsevier, United Kingdom
Volume :
77
Issue :
6
Pages :
1703-1721
Peer reviewed :
Peer Reviewed verified by ORBi
Tags :
CÉCI : Consortium des Équipements de Calcul Intensif
Name of the research project :
ARC grant for Concerted Research Actions (ARC WAVES 15/19-03)
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