A performance study of plane wave finite element methods with a Padé-type artificial boundary condition in acoustic scattering

Authors:
R. Kechroud;A. Soulaimani;X. Antoine
Affiliations:
ícole de Technologie Supérieure, Département de Génie Mécanique, 1100, Notre Dame Ouest, Montréal, Canada;ícole de Technologie Supérieure, Département de Génie Mécanique, 1100, Notre Dame Ouest, Montréal, Canada;Institut National Polytechnique de Lorraine (INPL), Nancy Université, Ecole Nationale Supérieure des Mines de Nancy, Département de Génie Industriel, Parc de Saurupt, CS 14 234 ...
Venue:
Advances in Engineering Software
Year:
2009

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Abstract

This paper proposes an original numerical method and studies its performance for solving high-frequency scattering problems involving elongated scatterers. The approach is based on coupling a high-order Pade-type non-reflecting boundary condition with plane wave finite element formulations. It is shown that for some numerical examples the approximate solution of suitable accuracy can be obtained using a small number of degrees of freedom.