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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING Int. J. Numer. Meth. Engng 2000; 00:16 Prepared using nmeauth.cls [Version: 2002/09/18 v2.02]
 

Summary: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
Int. J. Numer. Meth. Engng 2000; 00:1­6 Prepared using nmeauth.cls [Version: 2002/09/18 v2.02]
Numerical accuracy of a Pad´e-type non-reflecting boundary
condition for the finite element solution of acoustic scattering
problems at high-frequency
R. Kechroud1, X. Antoine2,3 and A. Soula¨imani1
1 D´epartement de G´enie M´ecanique, ´Ecole de Technologie Sup´erieure,
1100 Notre-Dame Ouest, Montr´eal (Qu´ebec), H3C 1K3, Canada.
E-mail: {kechroud.riyad,azzeddine.soulaimani}@etsmtl.ca
2 Laboratoire de Math´ematiques pour l'Industrie et la Physique, UMR 5640, UFR MIG,
Universit´e P. Sabatier, 118, route de Narbonne, 31062 Toulouse Cedex, France.
E-mail: antoine@mip.ups-tlse.fr
3 Applied and Computational Mathematics, Division of Engineering and Applied Sciences,
California Institute of Technology, 1200 E. California Blvd, 207-50, Pasadena, CA 91125, USA.
E-mail: antoine@acm.caltech.edu
SUMMARY
The present text deals with the numerical solution of two-dimensional high-frequency acoustic
scattering problems using a new high-order and asymptotic Pad´e-type artificial boundary condition.
The Pad´e-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

  

Source: Antoine, Xavier - Institut de Mathématiques Élie Cartan, Université Henri Poincaré - Nancy 1

 

Collections: Mathematics