On the Construction of Approximate Boundary Conditions for Solving the Interior Problem of the Acoustic Scattering Transmission Problem

  • X. Antoine
  • H. Barucq
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 40)


The construction of accurate generalized impedance boundary conditions for the three-dimensional acoustic scattering problem by a homogeneous dissipative medium is analyzed. The technique relies on an explicit computation of the symbolic asymptotic expansion of the exact impedance operator in the interior domain. An efficient pseudolocalization of this operator based on Padé approximants is then proposed. The condition can be easily integrated in an iterative finite element solver without modifying its performances since the pseudolocal implementation preserves the sparse structure of the linear system. Numerical results are given to illustrate the method.


Impedance Boundary Acoustic Scattering Interior Domain Impedance Boundary Condition Homogeneous Complex 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • X. Antoine
    • 1
  • H. Barucq
    • 2
  1. 1.Mathématiques pour l'Industrie et la Physique, MIP, UMR CNRS 5640, UFR MIGUniversité P. SabatierToulouse cedex 4France
  2. 2.Laboratoire de Mathématiques Appliquées pour l'IndustrieUniversité de Pau et des Pays de l'AdourPauFrance

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