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On the Construction of Approximate Boundary Conditions for Solving the Interior Problem of
 

Summary: On the Construction of Approximate Boundary
Conditions for Solving the Interior Problem of
the Acoustic Scattering Transmission Problem
X. Antoine1
and H. Barucq2
1
Math´ematiques pour l'Industrie et la Physique, MIP, UMR CNRS 5640, UFR
MIG, Universit´e P. Sabatier, 118, route de Narbonne, 31062 Toulouse cedex 4,
France (http://mip.ups-tlse.fr/~antoine/)
2
Laboratoire de Math´ematiques Appliqu´ees pour l'Industrie, Universit´e de Pau et
des Pays de l'Adour, Avenue de l'Universit´e, 64000 Pau, France

Summary. The construction of accurate generalized impedance boundary condi-
tions for the three-dimensional acoustic scattering problem by a homogeneous dissi-
pative medium is analyzed. The technique relies on an explicit computation of the
symbolic asymptotic expansion of the exact impedance operator in the interior do-
main. An efficient pseudolocalization of this operator based on Pad´e approximants is
then proposed. The condition can be easily integrated in an iterative finite element
solver without modifying its performances since the pseudolocal implementation

  

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

 

Collections: Mathematics