A high-order absorbing boundary condition for 2D time-harmonic elastodynamic scattering problems. (15th March 2019)

• Record Type: Journal Article
• Authors: Mattesi, V.; Darbas, M.; Geuzaine, C.
• Is Part Of: Computers & mathematics with applications. Volume 77:issue 6(2019)
• Page Start: 1703
• Page End: 1721
• Publication Date: 2019-03-15
• Subjects: Scattering -- 2D time-harmonic elastic waves -- Absorbing boundary condition -- High-frequency; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2018.05.014
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: 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.