Numerical Accuracy of a Padé-type Non-Reflecting Boundary Condition for the Finite Element Solution of Acoustic Scattering Problems at High-Frequency

Xavier Antoine (1) , Azzedine Soulaimani (2) , Ryiad Kerchroud (2)

1 CORIDA - Robust control of infinite dimensional systems and applications
2 ETS - Ecole de Technologie Supérieure [Montréal]

The present text deals with the numerical solution of two‐dimensional high‐frequency acoustic scattering problems using a new high‐order and asymptotic Padé‐type artificial boundary condition. The Padé‐type condition is easy‐to‐implement in a Galerkin least‐squares (iterative) finite element solver for arbitrarily convex‐shaped boundaries. The method accuracy is investigated for different model problems and for the scattering problem by a submarine‐shaped scatterer. As a result, relatively small computational domains, optimized according to the shape of the scatterer, can be considered while yielding accurate computations for high‐frequencies. Copyright © 2005 John Wiley & Sons, Ltd.

Domaines: Analyse numérique [math.NA]

Xavier Antoine, Azzedine Soulaimani, Ryiad Kerchroud. Numerical Accuracy of a Padé-type Non-Reflecting Boundary Condition for the Finite Element Solution of Acoustic Scattering Problems at High-Frequency. International Journal for Numerical Methods in Engineering, 2005, 64 (10), pp.1275-1302. ⟨10.1002/nme.1390⟩. ⟨hal-00091671⟩