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A second-kind Galerkin boundary element method for scattering at composite objects

Claeys, Xavier ; Hiptmair, Ralf ; Spindler, Elke

In: BIT Numerical Mathematics, 2015, vol. 55, no. 1, p. 33-57

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    Titre
    • A second-kind Galerkin boundary element method for scattering at composite objects
    Auteur
    • Claeys, Xavier. Laboratoire Jacques-Louis Lions, Sorbonne Universités, UPMC Univ Paris 06, UMR 7598, 75005, Paris, France
    • Hiptmair, Ralf. Swiss Federal Institute of Technology, Zurich, Switzerland
    • Spindler, Elke. Swiss Federal Institute of Technology, Zurich, Switzerland
    Type de document
    • Postprint
    Langue
    • Anglais
    Publié dans
    • BIT Numerical Mathematics, 2015, vol. 55, no. 1, p. 33-57. Springer Netherlands
    Autre version électronique
    Identifiant OAI-PMH
    • oai:doc.rero.ch:330990
    Summary
    We consider the scattering of time-harmonic acoustic waves at objects composed of several homogeneous parts with different material properties. In Claeys (A single trace integral formulation of the second kind for acoustic scattering, 2011), a novel second-kind boundary integral formulation for this scattering problem was proposed, that relies on skeleton Cauchy data as unknowns. We recast it into a variational problem set in $$L^{2}$$ L 2 and investigate its Galerkin boundary element discretization from a theoretical and algorithmic point of view. Empiric studies demonstrate the competitive accuracy and superior conditioning of the new approach compared to a widely used Galerkin boundary element approach based on a first-kind boundary integral formulation.