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hal-00591456, version 1

Integral Equations and Iterative Schemes for Acoustic Scattering Problems

Xavier Antoine () 1, 2, Marion Darbas 3

(13/05/2010)

Abstract: The aim of this chapter is to provide an introduction to the iterative Krylov solution of integral equations for time-harmonic acoustic scattering. From the point of view of computational methods, considering large frequencies in acoustics is challenging since it leads to solving highly indefinite large scale complex linear systems which generally implies a convergence breakdown of iterative methods. Most specifically, we develop the problematic and explain some partial solutions through analytical preconditioning for high frequency scattering and the introduction of new combined field integral equations.

  • 1:  Institut Elie Cartan Nancy (IECN)
  • CNRS : UMR7502 – INRIA – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL)
  • 2:  CORIDA (INRIA Nancy - Grand Est / IECN / LMAM)
  • INRIA – CNRS : UMR7502 – Université de Lorraine
  • 3:  Laboratoire Amiénois de Mathématique Fondamentale et Appliquée (LAMFA)
  • CNRS : UMR6140 – Université de Picardie Jules Verne
  • Collaboration : CORIDA
  • Domain : Mathematics/Numerical Analysis
  • Keywords : acoustic scattering – high-frequency – integral equation – GMRES – Krylov solver – preconditioners – well-conditioned integral equation
  • Comment : A paraître
 
  • hal-00591456, version 1
  • http://hal.archives-ouvertes.fr/hal-00591456
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  • From: Xavier Antoine <>
  • Submitted on: Monday, 9 May 2011 16:59:07
  • Updated on: Thursday, 7 July 2011 15:57:16