A Second-Kind Galerkin Boundary Element Method for Scattering at Composite Objects

Xavier Claeys 1, 2 Ralf Hiptmair 3 Elke Spindler 4
2 ALPINES - Algorithms and parallel tools for integrated numerical simulations
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, Institut National des Sciences Mathématiques et de leurs Interactions
3 Seminar of Applied Mathematics
SAM - Seminar of Applied Mathematics [Zürich]
Abstract : We consider the scattering of time-harmonic acoustic waves at objects composed of several homogeneous parts with different material properties. In [X. Claeys, A single trace integral formulation of the second kind for acoustic scattering, Report 2011-14, SAM, ETH Zürich] a novel second-kind boundary integral formulation for this scattering problem was proposed. We recast it into a variational problem set in L2 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.
Type de document :
Article dans une revue
BIT Numerical Mathematics, Springer Verlag, 2015, 55 (1), pp.33-57
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https://hal.inria.fr/hal-00909835
Contributeur : Xavier Claeys <>
Soumis le : mardi 26 novembre 2013 - 23:44:42
Dernière modification le : vendredi 25 mai 2018 - 12:02:06

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  • HAL Id : hal-00909835, version 1

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Xavier Claeys, Ralf Hiptmair, Elke Spindler. A Second-Kind Galerkin Boundary Element Method for Scattering at Composite Objects. BIT Numerical Mathematics, Springer Verlag, 2015, 55 (1), pp.33-57. 〈hal-00909835〉

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