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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
Affiliation:1. École de Technologie Supérieure, Département de Génie Mécanique, 1100, Notre Dame Ouest, Montréal, Canada;2. 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, 54042 Nancy Cedex, France;3. Institut Elie Cartan Nancy (IECN), Institut Elie Cartan UMR 7502, Nancy-Université, CNRS, INRIA, CORIDA Team, Université Henri Poincaré Nancy 1, B.P. 239, F-54506 Vandoeuvre-lès-Nancy Cedex, France;1. CNRS, Laboratoire de Photonique et de Nanostructures, UPR20, route de Nozay, Marcoussis 91460, France;2. CNRS, UMR 8235, LISE, F-75005 Paris, France;3. Sorbonne Universités, UPMC Univ Paris 06, UMR 8235, Laboratoire Interfaces et Systèmes Electrochimiques, F-75005 Paris, France;4. Université Paris-Sud, Institut des Sciences Moléculaires ISMO, UMR 8214, Bâtiment 350, 91405 Orsay Cedex, France;5. CNRS, UMR 8214, ISMO, F-91405 Orsay, France;1. State Key Laboratory of Structural Analysis for Industrial Equipment, School of Naval Architecture, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian 116024, PR China;2. Marine Engineering College, Dalian maritime University, Dalian 116024, PR China;3. Science and Technology on Underwater Test and Control Laboratory, Dalian 116013, PR China;1. Applied Geology, Curtin University, Kent Street, Bentley, Perth, WA 6102, Australia;2. Curtin Institute for Computation, Curtin University, Kent Street, Bentley, Perth, WA 6102, Australia;3. Mineral Resources, Commonwealth Scientific and Industrial Research Organisation (CSIRO), Kensington, Perth, WA 6152, Australia;1. School of Aerospace Engineering, Tsinghua University, Beijing 100084, China;2. China Academy of Space Technology, Beijing 100094, China;1. Ecole des Mines de Douai, Département Informatique et Automatique, 941 Rue Charles Bourseul, 59508 Douai Cedex, France;2. Federal University of Paraná, Department of Mechanical Engineering, Centro Politécnico, 81531990 Curitiba PR, Brazil;3. Siemens Industry Software, Simulation and Test Solutions, Interleuvenlaan 68, B-3001 Heverlee, Belgium;4. KU Leuven, Department of Mechanical Engineering, Celestijnenlaan 300 B, B-3001 Heverlee, Belgium;1. BK21 Safe and Sustainable Infrastructure Research, Department of Civil and Environmental Engineering, Seoul National University, Seoul 151-744, Republic of Korea;2. Department of Civil and Environmental Engineering, Seoul National University, Seoul 151-744, Republic of Korea;3. Department of Civil, Architectural and Environmental Engineering, The University of Texas at Austin, Austin, TX 78712-0273, USA
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 Padé-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.
Keywords:
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