A high-order absorbing boundary condition for 2D time-harmonic elastodynamic scattering problems. (English) Zbl 1442.74090
Summary: 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.
MSC:
| 74J20 | Wave scattering in solid mechanics |
| 74J25 | Inverse problems for waves in solid mechanics |
| 35P25 | Scattering theory for PDEs |
| 35Q74 | PDEs in connection with mechanics of deformable solids |
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