An Improved Surface Radiation Condition for High-Frequency Acoustics Scattering Problems

Xavier Antoine (1) , Marion Darbas (2) , Ya Yan Lu (3)

1 CORIDA - Robust control of infinite dimensional systems and applications
2 MIP - Mathématiques pour l'Industrie et la Physique
3 Department of Mathematics

A new artificial boundary condition for two-dimensional acoustic scattering problems is constructed in this paper. It is designed from the principal symbol of the Dirichlet-to-Neumann map so that both the propagating and evanescent fields are properly modeled. In the high-frequency regime, the new artificial boundary condition can be used as an on-surface radiation condition for efficient approximation of the wave field. The accuracy and efficiency of our method are demonstrated in numerical examples.

Domaines: Analyse numérique [math.NA]

Xavier Antoine, Marion Darbas, Ya Yan Lu. An Improved Surface Radiation Condition for High-Frequency Acoustics Scattering Problems. Computer Methods in Applied Mechanics and Engineering, 2006, 195 (33-36), pp.4060-4074. ⟨10.1016/j.cma.2005.07.010⟩. ⟨hal-00091672⟩