A second-kind Galerkin boundary element method for scattering at composite objects
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Date
2015-03
Publication Type
Journal Article
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yes
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Abstract
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 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.
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published
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55 (1)
Pages / Article No.
33 - 57
Publisher
Springer
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Subject
Acoustic scattering; Second-kind boundary integral equations; Galerkin boundary element methods; 65N12; 65N38; 65R20
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03632 - Hiptmair, Ralf / Hiptmair, Ralf
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It was possible to publish this article open access thanks to a Swiss National Licence with the publisher.
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