A high-order absorbing boundary condition for 2D time-harmonic elastodynamic scattering problems

[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 :

Issue :

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)

Available on ORBi :

since 16 April 2019

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